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Tytuł:
Intervals of certain classes of Z-matrices
Autorzy:
Kannan, M.
Sivakumar, K.
Powiązania:
https://bibliotekanauki.pl/articles/729209.pdf
Data publikacji:
2014
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
interval matrix
M-matrix
N-matrix
N₀-matrix
nonnegativity
Opis:
Let A and B be M-matrices satisfying A ≤ B and J = [A,B] be the set of all matrices C such that A ≤ C ≤ B, where the order is component wise. It is rather well known that if A is an M-matrix and B is an invertible M-matrix and A ≤ B, then aA + bB is an invertible M-matrix for all a,b > 0. In this article, we present an elementary proof of a stronger version of this result and study corresponding results for certain other classes as well.
Źródło:
Discussiones Mathematicae - General Algebra and Applications; 2014, 34, 1; 85-93
1509-9415
Pojawia się w:
Discussiones Mathematicae - General Algebra and Applications
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
An algorithm for checking Hurwitz stability of K-symmetrizable interval matrices
Autorzy:
Kowynia, J.
Powiązania:
https://bibliotekanauki.pl/articles/970091.pdf
Data publikacji:
2005
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
symmetrizable matrix
interval matrix
positive definite matrix
Opis:
The necessary and sufficient condition for stability of K-symmetrizable interval matrix is given. An algorithm for checking stability of K-symmetrizable interval matrix is proposed.
Źródło:
Control and Cybernetics; 2005, 34, 2; 477-486
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On the matrix form of Kronecker lemma
Autorzy:
da Silva, João
Oliveira, António
Powiązania:
https://bibliotekanauki.pl/articles/729968.pdf
Data publikacji:
2009
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
matrix Kronecker lemma
matrix analysis
convergence
Opis:
A matrix generalization of Kronecker's lemma is presented with assumptions that make it possible not only the unboundedness of the condition number considered by Anderson and Moore (1976) but also other sequences of real matrices, not necessarily monotone increasing, symmetric and nonnegative definite. A useful matrix decomposition and a well-known equivalent result about convergent series are used in this generalization.
Źródło:
Discussiones Mathematicae Probability and Statistics; 2009, 29, 2; 233-243
1509-9423
Pojawia się w:
Discussiones Mathematicae Probability and Statistics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Inflammatory bowel disease: the function of metalloproteinases
Autorzy:
Pasternak, Grzegorz
Aebisher, David
Filip, Rafał
Bartusik-Aebisher, Dorota
Powiązania:
https://bibliotekanauki.pl/articles/454718.pdf
Data publikacji:
2018
Wydawca:
Uniwersytet Rzeszowski. Wydawnictwo Uniwersytetu Rzeszowskiego
Tematy:
inflammatory bowel disease
matrix metalloproteinases extracellular matrix
Opis:
Introduction. Inflammatory bowel disease (IBD) is a group of inflammatory conditions of the colon and small intestine. Aim. The aim of this work was to review the current literature regarding matrix metalloproteinases. The databases such as PubMed, ScienceDirect and Springer were utilized to search the literature for relevant articles. Materials and methods. An analysis of literature. We collected information, data, and examples of the function of metalloproteinases. Results. Herein we show that metalloproteinases play a role in such processes as the immune response, angiogenesis, the epithelial barrier function, fibrosis induced by the inflammatory process, and in the process of carcinogenesis. Conclusions. Further studies on the role of metalloproteinases in the process of carcinogenesis associated with inflammatory bowel diseases are required.
Źródło:
European Journal of Clinical and Experimental Medicine; 2018, 4; 346-349
2544-2406
2544-1361
Pojawia się w:
European Journal of Clinical and Experimental Medicine
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Asymptotic behaviour and approximation of eigenvalues for unbounded block Jacobi matrices
Autorzy:
Malejki, M.
Powiązania:
https://bibliotekanauki.pl/articles/255505.pdf
Data publikacji:
2010
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
symmetric unbounded Jacobi matrix
block Jacobi matrix
tridiagonal matrix
point spectrum
eigenvalue
asymptotics
Opis:
The research included in the paper concerns a class of symmetric block Jacobi matrices. The problem of the approximation of eigenvalues for a class of a self-adjoint unbounded operators is considered. We estimate the joint error of approximation for the eigenvalues, numbered from 1 to N, for a Jacobi matrix J by the eigenvalues of the finite submatrix J(n) of order pn x pn, where N = max{k ∈ N : k ≤ rpn} and r ∈ (0, 1) is suitably chosen. We apply this result to obtain the asymptotics of the eigenvalues of J in the case p = 3.
Źródło:
Opuscula Mathematica; 2010, 30, 3; 311-330
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Matrix metalloproteinase-2 (MMP-2), MMP-9, tissue inhibitor of matrix metalloproteinases (TIMP-1) and transforming growth factor-beta2 (TGF-beta2) expression in eutopic endometrium of women with peritoneal endometriosis
Autorzy:
Szymanowski, Krzysztof
Mikołajczyk, Mateusz
Wirstlein, Przemysław
Dera-Szymanowska, Anna
Powiązania:
https://bibliotekanauki.pl/articles/987106.pdf
Data publikacji:
2016
Wydawca:
Instytut Medycyny Wsi
Tematy:
endometriosis
matrix metalloproteinases
tissue inhibitor of matrix metalloproteinases
Opis:
Introduction. The prevalence of endometriosis among reproductive age women is 7–17%; however, these figures reach 20–50% in patients suffering from infertility. Matrix metalloproteinases (MMPs) activity is thought to be particularly essential in the early phases of endometriosis development. Any changes in the equilibrium between MMPs activity and their tissue inhibitors (TIMPs) could be potentially harmful, promoting endometriosis development. The aim of this study was to investigate whether the MMP-2, MMP-9, TIMP-1 or TGF-B2 expression in eutopic endometrium from women with early endometriosis differ when compared with healthy subjects. The results were referred to the serum progesterone levels. Materials and method. Endometrial biopsy was taken from 42 patients (18 in the study group, 22 in thecontrol group) at the time of hysteroscopy for routine histology and for RT-PCR procedures. Comparison of the quantity of gene products was performed with a programme for densitometry and compared to GADPH product, which was a reference value. Results. The obtained results did not reveal any statistical difference in endometrial expression of MMP-2, MMp-9, TIMP-1, and TGF-β2 or serum progesterone level between women with endometriosis and without visible signs of this illness. Conclusion. Despite the lack of statistical differences, it was observed that both examined metalloproteinases expressed a tendency to higher gene expression in the eutopic endometrium of women with endometriosis. However, both TIMP-1 and TGF-β2 expressions had the same tendency – higher values in endometriosis patients.
Źródło:
Annals of Agricultural and Environmental Medicine; 2016, 23, 4
1232-1966
Pojawia się w:
Annals of Agricultural and Environmental Medicine
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
An analytical study on the elastic-plastic behavior of metal matrix composites under tensile loading
Autorzy:
Khosoussi, S.
Mondali, M.
Abedian, A.
Powiązania:
https://bibliotekanauki.pl/articles/281901.pdf
Data publikacji:
2014
Wydawca:
Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:
metal matrix composites
plasticity in matrix
shear lag
Opis:
An analytical approach is proposed for studying the elastic-plastic behavior of short fiber reinforced metal matrix composites under tensile loading. In the proposed research, a micro- mechanical approach is employed considering an axi-symmetric unit cell including one fiber and the surrounding matrix. First, the governing equations and the boundary conditions are derived and the elastic solution is obtained based on some shear lag type methods. Since under normal loading conditions and according to the fiber material characteristics the me- tal matrix undergoes plastic deformation, while the fiber remains within the elastic region, a plastic deformation is obtained for the matrix under each small tensile loading step. Then, the elastic-plastic stress transfer behavior of the composite is studied considering this plastic deformation. The results are finally compared with the numerical results obtained from the FE analysis of the considered micromechanical model.
Źródło:
Journal of Theoretical and Applied Mechanics; 2014, 52, 2; 323-334
1429-2955
Pojawia się w:
Journal of Theoretical and Applied Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Boolean matrices ... neither Boolean nor matrices
Autorzy:
Ricci, Gabriele
Powiązania:
https://bibliotekanauki.pl/articles/728832.pdf
Data publikacji:
2000
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
universal matrix
functional application
generalized matrix
analytic monoid
Opis:
Boolean matrices, the incidence matrices of a graph, are known not to be the (universal) matrices of a Boolean algebra. Here, we also show that their usual composition cannot make them the matrices of any algebra. Yet, later on, we "show" that it can. This seeming paradox comes from the hidden intrusion of a widespread set-theoretical (mis) definition and notation and denies its harmlessness. A minor modification of this standard definition might fix it.
Źródło:
Discussiones Mathematicae - General Algebra and Applications; 2000, 20, 1; 141-151
1509-9415
Pojawia się w:
Discussiones Mathematicae - General Algebra and Applications
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The Drazin inverse of a class of partitioned matrices
Autorzy:
Kanan, Asmaa M.
Powiązania:
https://bibliotekanauki.pl/articles/1030682.pdf
Data publikacji:
2020
Wydawca:
Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
Tematy:
Drazin inverse
Partitioned matrix
Rank
Trace of matrix
Opis:
In this work, we give the representations of the Drazin inverse for the partitioned matrix [■(A_1&A_2@O&A_3 )] with A_1 and A_3 square and singular under the conditions that rank(A_1 )=rank(A_3 )=1, Trace(A_1)≠0 and Trace(A_3)≠0, and then we give the representations of the Drazin inverse for the partitioned EP matrix [■(A_1&A_2@A_3&A_4 )] with A_1 is square and non-singular under the conditions that rank(A_1 )=rank([■(A_1&A_2@A_3&A_4 )]), and [■(A_1&A_2@A_3&A_4 )]=[■(I@P)] A_1 [■(I&Q)] where P=A_3 〖A_1〗^(-1) and Q= 〖A_1〗^(-1) A_2. Also, we give the representations of the Drazin inverse for the partitioned matrix [■(A_1&A_2@A_3&A_4 )] with A_1 square and singular under the conditions that rank(A_1 )=rank([■(A_1&A_2@A_3&A_4 )])=1, Trace([■(A_1&A_2@A_3&A_4 )])≠0.
Źródło:
World Scientific News; 2020, 139, 2; 173-185
2392-2192
Pojawia się w:
World Scientific News
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Basic properties of the full matrices
Podstawowe własności macierzy pełnych
Autorzy:
Wituła, R.
Gawrońska, N.
Słota, D.
Powiązania:
https://bibliotekanauki.pl/articles/87341.pdf
Data publikacji:
2011
Wydawca:
Politechnika Śląska. Wydawnictwo Politechniki Śląskiej
Tematy:
macierz pełna
macierz kwadratowa
full matrix
square matrix
Opis:
In this paper the, so called, full matrices are distinguished. A number of basic properties of such matrices are also presented. Moreover, few possible directions for further research are indicated.
W artykule wyróżniono tzw. macierze pełne. Przedstawiono wiele podstawowych własności tych macierzy. Wskazano też kilka możliwych kierunków badań.
Źródło:
Zeszyty Naukowe. Matematyka Stosowana / Politechnika Śląska; 2011, 1; 69-80
2084-073X
Pojawia się w:
Zeszyty Naukowe. Matematyka Stosowana / Politechnika Śląska
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Some remarks on operators preserving partial orders of matrices
Autorzy:
Hauke, Jan
Powiązania:
https://bibliotekanauki.pl/articles/729966.pdf
Data publikacji:
2008
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
star partial ordering
minus partial ordering
löwner partial ordering
sharp partial order
nonnegative definite matrix
Hermitian matrix
EP-matrix
power of a matrix
polynomial of a matrix
Opis:
Stępniak [Linear Algebra Appl. 151 (1991)] considered the problem of equivalence of the Löwner partial order of nonnegative definite matrices and the Löwner partial order of squares of those matrices. The paper was an important starting point for investigations of the problem of how an order between two matrices A and B from different sets of matrices can be preserved for the squares of the corresponding matrices A² and B², in the sense of the Löwner partial ordering, the star partial ordering, the minus partial ordering, and the sharp partial ordering. Many papers have since been published (mostly coauthored by J.K. Baksalary - to whom the present paper is dedicated) that generalize the results in two directions: by widening the class of matrices considered and by replacing the squares by arbitrary powers. In the present paper we make a résumé of some of these results and suggest some further generalizations for polynomials of the matrices considered.
Źródło:
Discussiones Mathematicae Probability and Statistics; 2008, 28, 1; 143-155
1509-9423
Pojawia się w:
Discussiones Mathematicae Probability and Statistics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Inversion of Square Matrices in Processors With Limited Calculation Abillities
Autorzy:
Janiszowski, K. B.
Powiązania:
https://bibliotekanauki.pl/articles/908215.pdf
Data publikacji:
2003
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
automatyka
robotyka
exponential matrix series
matrix inversion
neuro-processors
Opis:
An iterative inversion algorithm for a class of square matrices is derived and tested. The inverted matrix can be defined over both real and complex fields. This algorithm is based only on the operations of addition and multiplication. The numerics of the algorithm can cope with a short number representation and therefore can be very useful in the case of processors with limited possibilities, like different neuro-computers and accelerator cards. The quality of inversion can be traced and tested. The algorithm can be used in the case of singular matrices, and then it automatically produces a result that contains the inverse of this part of the processed matrix which can be inverted. An example of the inversion of a six-order square matrix is presented and discussed.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2003, 13, 2; 199-204
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The asymptotic trace norm of random circulants and the graph energy
Autorzy:
Koshkin, Sergiy
Powiązania:
https://bibliotekanauki.pl/articles/729702.pdf
Data publikacji:
2016
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
random matrix
graph energy
matrix energy
circulant
Toeplitz matrix
band matrix
Dirichlet kernel
non-uniform Berry-Esseen estimate
Talagrand concentration inequality
Opis:
We compute the expected normalized trace norm (matrix/graph energy) of random symmetric band circulant matrices and graphs in the limit of large sizes, and obtain explicit bounds on the rate of convergence to the limit, and on the probabilities of large deviations. We also show that random symmetric band Toeplitz matrices have the same limit norm assuming that their band widths remain small relative to their sizes. We compare the limit norms across a range of related random matrix and graph ensembles.
Źródło:
Discussiones Mathematicae Probability and Statistics; 2016, 36, 1-2; 67-92
1509-9423
Pojawia się w:
Discussiones Mathematicae Probability and Statistics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Description of algorithms for balancing numerical matrices and theirdivision into hierarchical levels according to their type and complexity
Algorytmy bilansowania oraz hierarchizacji macierzy według ich typu i złożoności
Autorzy:
Khanas, Yuriy
Borecki, Michał
Powiązania:
https://bibliotekanauki.pl/articles/1841264.pdf
Data publikacji:
2021
Wydawca:
Politechnika Lubelska. Wydawnictwo Politechniki Lubelskiej
Tematy:
matrix balancing
separated matrix sectors
solid matrix sector
virtual matrix boundary
non-uniform matrix
bilansowanie macierzy
rozdzielone sektory macierzy
cały sektor macierzy
granica wirtualna macierzy
wyznaczona granica macierzy
Opis:
This article describes a set of algorithms for so-called balancing of numerical matrices, which were developed by the author. Each section consists of several algorithms that are divided into different levels. The order of these levels depended on the chronology of the creation of certain algorithms. Chronology also affected the complexity of these balancing algorithms, so it can be argued that the algorithms are described in order from the simplest level to the most complex. It is important to emphasize that the purpose of the article is to describe the actions on matrices that determine the balancing algorithm of a certain level, and practical application will be the next step.
Artykuł przedstawia autorskie algorytmy bilansowania macierzy. Każdy rozdział składa się z kilku algorytmów, które są rozdzielone na różne poziomy. Te poziomy są uporządkowane w zależności od chronologii ich stworzenia. Podobnie chronologia ma wpływ na złożoność algorytmów zbilansowania, w związku z tym można stwierdzać, że algorytmy są uszeregowana według stopnia złożoności. Niniejszy artykuł jest pierwszym etapem pokazującym sposób zbilansowania pewnego poziomu macierzy, natomiast kolejnym etapem będzie efekt praktyczny.
Źródło:
Informatyka, Automatyka, Pomiary w Gospodarce i Ochronie Środowiska; 2021, 11, 1; 44-49
2083-0157
2391-6761
Pojawia się w:
Informatyka, Automatyka, Pomiary w Gospodarce i Ochronie Środowiska
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Description of algorithms for balancing numerical matrices and theirdivision into hierarchical levels according to their type and complexity
Algorytmy bilansowania oraz hierarchizacji macierzy według ich typu i złożoności
Autorzy:
Khanas, Yuriy
Borecki, Michał
Powiązania:
https://bibliotekanauki.pl/articles/1841272.pdf
Data publikacji:
2021
Wydawca:
Politechnika Lubelska. Wydawnictwo Politechniki Lubelskiej
Tematy:
matrix balancing
separated matrix sectors
solid matrix sector
virtual matrix boundary
non-uniform matrix
bilansowanie macierzy
rozdzielone sektory macierzy
cały sektor macierzy
granica wirtualna macierzy
wyznaczona granica macierzy
Opis:
This article describes a set of algorithms for so-called balancing of numerical matrices, which were developed by the author. Each section consists of several algorithms that are divided into different levels. The order of these levels depended on the chronology of the creation of certain algorithms. Chronology also affected the complexity of these balancing algorithms, so it can be argued that the algorithms are described in order from the simplest level to the most complex. It is important to emphasize that the purpose of the article is to describe the actions on matrices that determine the balancing algorithm of a certain level, and practical application will be the next step.
Artykuł przedstawia autorskie algorytmy bilansowania macierzy. Każdy rozdział składa się z kilku algorytmów, które są rozdzielone na różne poziomy. Te poziomy są uporządkowane w zależności od chronologii ich stworzenia. Podobnie chronologia ma wpływ na złożoność algorytmów zbilansowania, w związku z tym można stwierdzać, że algorytmy są uszeregowana według stopnia złożoności. Niniejszy artykuł jest pierwszym etapem pokazującym sposób zbilansowania pewnego poziomu macierzy, natomiast kolejnym etapem będzie efekt praktyczny.
Źródło:
Informatyka, Automatyka, Pomiary w Gospodarce i Ochronie Środowiska; 2021, 11, 1; 44-49
2083-0157
2391-6761
Pojawia się w:
Informatyka, Automatyka, Pomiary w Gospodarce i Ochronie Środowiska
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Matrix H and Its Applications in Economic and Tourist Research
Macierz H i jej zastosowania w badaniach ekonomicznych i turystycznych
Autorzy:
Wagner, Wiesław
Powiązania:
https://bibliotekanauki.pl/articles/905680.pdf
Data publikacji:
2006
Wydawca:
Uniwersytet Łódzki. Wydawnictwo Uniwersytetu Łódzkiego
Tematy:
linear regression model
hat matrix
prediction matrix
lever points
Opis:
The paper characterizes and gives some basic properties of matrix H that is the operator of orthogonal projection on the space of columns of matrix X, which is the hat matrix in linear regression model. The author enumerates some properties of diagonal elements of the matrix, which were defined as lever points and high-lever points. The paper deals also with the form of matrix H with repeating observations relating to independent variables. Two examples show some applications of matrix H.
W artykule określono i podano podstawowe własności macierzy H, będącej operatorem ortogonalnego rzutu na przestrzeń kolumn macierzy X, która jest macierzą układu w modelu regresji liniowej. Wymienione zostały własności elementów diagonalnych tej macierzy, które zostały określone jako punkty dźwigniowe i wysoko dźwigniowe punkty. Także zajęto się postacią macierzy H przy powtarzających się obserwacjach odnoszących się do zmiennych niezależnych. Pewne zastosowania macierzy H podano na dwóch przykładach.
Źródło:
Acta Universitatis Lodziensis. Folia Oeconomica; 2006, 196
0208-6018
2353-7663
Pojawia się w:
Acta Universitatis Lodziensis. Folia Oeconomica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Kluczowe zalety i ograniczenia macierzowych struktur organizacyjnych
The Key Advantages and Disadvantages of Matrix Organizational Structures
Autorzy:
Goś, Krzysztof
Powiązania:
https://bibliotekanauki.pl/articles/1810861.pdf
Data publikacji:
2015-11-15
Wydawca:
Uniwersytet Warszawski. Wydawnictwo Naukowe Wydziału Zarządzania
Tematy:
matrix structures
matrix organizations
matrix management
cross-functional
structures
struktury macierzowe
organizacje macierzowe
zarządzanie macierzowe,
zespoły międzyfunkcyjne
Opis:
ograniczeń koncepcji macierzowych struktur organizacyjnych. Po krótkim wprowadzeniu do dziedziny zidentyfikowano w nim i omówiono osiem kluczowych cech organizacji macierzowych. Przeprowadzona analiza publikacji wykazała, że trzy ze wspomnianych cech są przeważnie postrzegane jako zalety organizacji macierzowych, jedna jako ich ograniczenie, zaś pozostałe cztery budzą kontrowersje wśród teoretyków co do ich pozytywnego bądź negatywnego charakteru. Owe kontrowersyjne cechy wskazano jako proponowany obszar do dalszych badań.
The article is a review of the literature on the key advantages and disadvantages of matrix organizational structures. After providing a brief introduction into the discipline, it identifies and discusses eight major characteristics of matrix organizations. In the reviewed publications, three characteristics are considered primarily as advantages of matrix structures, one as a disadvantage, whereas the four remaining arouse controversies as to their beneficial or negative nature. The controversial characteristics are indicated as a field for further investigation.
Źródło:
Studia i Materiały; 2015, 2/2015 (19); 66-83
1733-9758
Pojawia się w:
Studia i Materiały
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A new method for solving ill-conditioned linear systems
Autorzy:
Soleymani, F.
Powiązania:
https://bibliotekanauki.pl/articles/256033.pdf
Data publikacji:
2013
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
matrix inversion
linear systems
Hilbert matrix
ill-conditioned
approximate inverse
Opis:
An accurate numerical method is established for matrix inversion. It is shown theoretically that the scheme possesses the high order of convergence of seven. Subsequently, the method is taken into account for solving linear systems of equations. The accuracy of the contributed iterative method is clarified on solving numerical examples when the coefficient matrices are ill-conditioned. All of the computations are performed on a PC using several programs written in MATHEMATICA 7.
Źródło:
Opuscula Mathematica; 2013, 33, 2; 337-344
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Relation between determinants of tridiagonal and certain pentadiagonal matrices
Autorzy:
Borowska, J.
Łacińska, L.
Powiązania:
https://bibliotekanauki.pl/articles/122287.pdf
Data publikacji:
2014
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
pentadiagonal matrix
tridiagonal matrix
determinant
recurrence equations
determinanta
równanie Fouriera
Opis:
In this paper we consider a pentadiagonal matrix which consists of only three non-zero bands. We prove that the determinant of such a matrix can be represented by a product of two determinants of corresponding tridiagonal matrices. It is shown that such an approach gives greatly shorter time of computer calculations.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2014, 13, 3; 21-28
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On determinant of certain pentadiagonal matrix
Autorzy:
Borowska, J.
Łacińska, L.
Rychlewska, J.
Powiązania:
https://bibliotekanauki.pl/articles/122492.pdf
Data publikacji:
2013
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
tridiagonal matrix
pentadiagonal matrix
determinant
LU factorization
determinanta
rozkład LU
Opis:
In this paper, using the LU factorization, the relation between the determinant of a certain pentadiagonal matrix and the determinant of a corresponding tridiagonal matrix will be derived. Moreover, it will be shown that determinant of this special pentadiagonal matrix can be calculated by applying the fourth order homogeneous linear difference equation.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2013, 12, 3; 21-26
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Optimization of a transport applying graph-matrix method
Optymalizacja transportu przy wykorzystaniu metody grafow macierzowych
Autorzy:
Marczuk, A.
Misztal, W.
Powiązania:
https://bibliotekanauki.pl/articles/792896.pdf
Data publikacji:
2011
Wydawca:
Komisja Motoryzacji i Energetyki Rolnictwa
Tematy:
optimization
transport
Vogel's approximation method
graph-matrix method
transport cost
preliminary flow matrix
optimum matrix
transport task
Opis:
The paper presents the procedure for solving a transportation task. The optimization was carried out in two phases. In the first one, a preliminary flow matrix was achieved on a base of the information on the demands and supplies values as well as transport costs, whereas some shifts within the preliminary flow matrix were made. All changes resulted in an optimum matrix, for which Zx function held the lowest possible value. Presented method appeared to be efficient for solving the transportation tasks of particular type.
Celem pracy było przedstawienie postępowania właściwego dla rozwiązywania zadania transportowego. Działania optymalizacyjne przeprowadzono w dwóch etapach. W pierwszym z nich uzyskano wstępną macierz przepływów, na podstawie informacji o wielkości popytów odbiorców i podaży dostawców oraz wartości kosztów przewozów. W drugim etapie dokonano przesunięć we wstępnej macierzy przepływów, uzyskanej w etapie pierwszym. Zmiany te doprowadziły do uzyskania macierzy optymalnej, dla której funkcja Zx przyjęła najniższą wartość. Przedstawiona metoda okazała się być skuteczna przy rozwiązywaniu zadań transportowych określonego typu.
Źródło:
Teka Komisji Motoryzacji i Energetyki Rolnictwa; 2011, 11C
1641-7739
Pojawia się w:
Teka Komisji Motoryzacji i Energetyki Rolnictwa
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Matrix polynomials orthogonal with respect to a non-symmetric matrix of measures
Autorzy:
Zygmunt, M. J.
Powiązania:
https://bibliotekanauki.pl/articles/255142.pdf
Data publikacji:
2016
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
matrix orthogonal polynomials
recurrence formula
matrix of measures
block Jacobi matrices
Opis:
The paper focuses on matrix-valued polynomials satisfying a three-term recurrence relation with constant matrix coefficients. It is shown that they form an orthogonal system with respect to a matrix of measures, not necessarily symmetric. Moreover, it is stated the condition on the coefficients of the recurrence formula for which the matrix measure is symmetric.
Źródło:
Opuscula Mathematica; 2016, 36, 3; 409-423
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Approximation of eigenvalues of some unbounded self-adjoint discrete Jacobi matrices by eigenvaules of finite submatrices
Autorzy:
Malejki, M.
Powiązania:
https://bibliotekanauki.pl/articles/255561.pdf
Data publikacji:
2007
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
self-adjoint unbounded Jacobi matrix
asymptotics
point spectrum
tridiagonal matrix
eigenvalue
Opis:
We investigate the problem of approximation of eigenvalues of some self-adjoint operator in the Hilbert space l2(N) by eigenvalues of suitably chosen principal finite submatrices of an infinite Jacobi matrix that defines the operator considered. We assume the Jacobi operator is bounded from below with compact resolvent. In our research we estimate the asymptotics (with n → ∞) of the joint error of approximation for the first n eigenvalues and eigenvectors of the operator by the eigenvalues and eigenvectors of the finite submatrix of order n x n. The method applied in our research is based on the Rayleigh-Ritz method and Volkmer's results included in [7]. We extend the method to cover a class of infinite symmetric Jacobi matrices with three diagonals satisfying some polynomial growth estimates.
Źródło:
Opuscula Mathematica; 2007, 27, 1; 37-49
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Matrix metalloproteinases in urinary system tumours. Part I - Matrix metalloproteinases in renal cell carcinoma
Autorzy:
Młynarczyk, G.
Kudelski, J.
Darewicz, B.
Galewska, Z.
Romanowicz, L.
Powiązania:
https://bibliotekanauki.pl/articles/1918434.pdf
Data publikacji:
2017
Wydawca:
Uniwersytet Medyczny w Białymstoku
Tematy:
Extracellular matrix
matrix metalloproteinases
urinary tract tumours
renal clear cell carcinoma
Opis:
Extracellular matrix metalloproteinases - MMPs, also referred to as matrixines, provide a group of proteolytic enzymes. They belong to the family of endopeptidases that break down elements of extracellular matrix, resulting in its continuous remodelling. Their activity is regulated at multiple levels, while tissue inhibitors of metalloproteinases play a major role in this process. Metalloproteinases play a significant part in neoplastic processes due to their contribution to local tumour invasion and formation of distant metastases, as well as to angiogenesis Urinary tract tumours pose a significant diagnostic and therapeutic challenge and their incidence tends to grow every year. The aim of this part of review is to describe extracellular matrix and matrix metalloproteinases and to highlight the contribution of matrix metalloproteinases in the development of renal clear cell carcinoma.
Źródło:
Progress in Health Sciences; 2017, 7(1); 161-168
2083-1617
Pojawia się w:
Progress in Health Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Some Characterizations of Schur Matrices in Ultrametric Fields
Autorzy:
Natarajan, P. N.
Powiązania:
https://bibliotekanauki.pl/articles/746289.pdf
Data publikacji:
2012
Wydawca:
Polskie Towarzystwo Matematyczne
Tematy:
Ultrametric field
Regular matrix
Schur matrix
Non-inclusion theorem
Steinhaus theorem
Opis:
In this short paper, \(K\) denotes a complete, non-trivially valued, ultrametric field. Sequences and infinite matrices have entries in K. We prove a few characterizations of Schur matrices in \(K\). We then deduce some non-inclusion theorems modelled on the results of Agnew [1] and Fridy [3] in the classical case.
Źródło:
Commentationes Mathematicae; 2012, 52, 2
0373-8299
Pojawia się w:
Commentationes Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Austenitization of FerriticDuctile Iron
Autorzy:
Krzyńska, A.
Kochański, A.
Powiązania:
https://bibliotekanauki.pl/articles/379464.pdf
Data publikacji:
2014
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
austenitization
ductile iron
ferritic matrix
matrix structure
ADI
austenityzacja
żeliwo sferoidalne
Opis:
Austenitization is the first step of heat treatment preceding the isothermal quenching of ductile iron in austempered ductile iron (ADI) manufacturing. Usually, the starting material for the ADI production is ductile iron with more convenient pearlitic matrix. In this paper we present the results of research concerning the austenitizing of ductile iron with ferritic matrix, where all carbon dissolved in austenite must come from graphite nodules. The scope of research included carrying out the process of austenitization at 900oC using a variable times ranging from 5 to 240 minutes,and then observations of the microstructure of the samples after different austenitizing times. These were supplemented with micro-hardness testing. The research showed that the process of saturating austenite with carbon is limited by the rate of dissolution of carbon from nodular graphite precipitates.
Źródło:
Archives of Foundry Engineering; 2014, 14, 4; 49-54
1897-3310
2299-2944
Pojawia się w:
Archives of Foundry Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A New Definition of Convergence of a Double Sequence and a Double Series and Silverman-Toeplitz Theorem
Autorzy:
Natarajan, P N
Powiązania:
https://bibliotekanauki.pl/articles/963556.pdf
Data publikacji:
2014
Wydawca:
Polskie Towarzystwo Matematyczne
Tematy:
ultrametric field
regular matrix
schur matrix
non-inclusion
theorem
steinhaus theorem
Opis:
Throughout this paper, entries of 4-dimensional infinite matrices, double sequences and double series are real or complex numbers. In the present paper, we introduce a new definition of convergence of a double sequence and a double series and record a few results on convergent double sequences. We also prove Silverman-Toeplitz theorem for double sequences and series.
Źródło:
Commentationes Mathematicae; 2014, 54, 1; 137-142
0373-8299
Pojawia się w:
Commentationes Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Reduction of a Pythagorean Fuzzy Matrix to Fuzzy Matrix
Autorzy:
Venkatesan, D.
Sriram, S.
Powiązania:
https://bibliotekanauki.pl/articles/1075512.pdf
Data publikacji:
2019
Wydawca:
Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
Tematy:
Conjunction
Disjunction
Intuitionistic fuzzy matrix
Pythagorean fuzzy matrix
Pythagorean fuzzy set
Opis:
We have read some of the results of ∨_L and ∧_L from the Lukasiewicz type over Pythagorean fuzzy matrices. We presented four reduction operations about the Pythagorean fuzzy matrices. We associate the reduction operations to relate ∨_L and ∧_L activities.
Źródło:
World Scientific News; 2019, 129; 180-192
2392-2192
Pojawia się w:
World Scientific News
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A Bayesian Approach to Matrix Balancing: Transformation of Industry-Level Data under NACE Revision
Autorzy:
Boratyński, Jakub
Powiązania:
https://bibliotekanauki.pl/articles/2076451.pdf
Data publikacji:
2016
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
matrix balancing
Bayesian inference
NACE revision
transformation matrix
multi-sector modelling
Opis:
We apply Bayesian inference to estimate transformation matrix that converts vector of industry outputs from NACE Rev. 1.1 to NACE Rev. 2 classification. In formal terms, the studied issue is a representative of the class of matrix balancing (updating, disaggregation) problems, often arising in the field of multi- sector economic modelling. These problems are characterised by availability of only partial, limited data and a strong role for prior assumptions, and are typically solved using bi-proportional balancing or cross-entropy minimisation methods. Building on Bayesian highest posterior density formulation for a similarly structured case, we extend the model with specification of prior information based on Dirichlet distribution, as well as employ MCMC sampling. The model features a specific likelihood, representing accounting restrictions in the form of an underdetermined system of equations. The primary contribution, compared to the alternative, widespread approaches, is in providing a clear account of uncertainty.
Źródło:
Central European Journal of Economic Modelling and Econometrics; 2016, 4; 219-239
2080-0886
2080-119X
Pojawia się w:
Central European Journal of Economic Modelling and Econometrics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Another Theorem on Weighted Means
Autorzy:
Natarajan, P N
Powiązania:
https://bibliotekanauki.pl/articles/746232.pdf
Data publikacji:
2010
Wydawca:
Polskie Towarzystwo Matematyczne
Tematy:
Regular matrix
weighted means
Opis:
In this short paper, which is a continuation of [2], we prove another interesting result concerning weighted means.
Źródło:
Commentationes Mathematicae; 2010, 50, 2
0373-8299
Pojawia się w:
Commentationes Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Change of composition and structure of diffusion chrome coating during friction
Autorzy:
Sharifov, Z. Z.
Bashirov, F. R.
Powiązania:
https://bibliotekanauki.pl/articles/359817.pdf
Data publikacji:
2013
Wydawca:
Akademia Morska w Szczecinie. Wydawnictwo AMSz
Tematy:
diffusion
friction
phase matrix
Opis:
The paper studied the behavior of the composition and structure of the diffusion of chromium coatings in sliding. It was found that the strain in friction generates the secondary structure of chromium coatings and as a result of the deformation effect wear is accelerated due to separation of the coating.
Źródło:
Zeszyty Naukowe Akademii Morskiej w Szczecinie; 2013, 33 (105); 96-99
1733-8670
2392-0378
Pojawia się w:
Zeszyty Naukowe Akademii Morskiej w Szczecinie
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Stigmasterol blocks cartilage degradation in rabbit model of osteoarthritis
Autorzy:
Chen, Wei-Ping
Yu, Chong
Hu, Peng-Fei
Bao, Jia-Peng
Tang, Jing-Li
Wu, Li-Dong
Powiązania:
https://bibliotekanauki.pl/articles/1039645.pdf
Data publikacji:
2012
Wydawca:
Polskie Towarzystwo Biochemiczne
Tematy:
matrix metalloproteinases
stigmasterol
osteoarthritis
Opis:
Stigmasterol has been shown exihbit anti-osteoarthritic properties in vitro studies. However, the in vivo effects of stigmasterol on cartilage are still unclear. This study investigated the anti-osteoarthritic properties of stigmasterol on cartilage degradation in a rabbit model of osteoarthritis (OA). Twenty rabbits underwent bilateral anterior cruciate ligament transection (ACLT) to induce OA. Five rabbits were used as normal control. Two weeks after operation, the rabbits were randomly divided into two groups. Each group of 10 rabbits received intra-articular injection with 0.3 ml of stigmasterol in left knees and vehicle in right knees, once weekly. Group 1 was killed 6 weeks after ACLT and 2 were sacrificed 9 weeks after ACLT. The knee joints were assessed by gross morphology, histology and gene expression analysis. We found that expression of genes encoding matrix metalloproteinases (MMPs) was significantly higher while tissue inhibitors of metalloproteinase (TIMP)-1 was significantly lower in the both joints of the two OA groups compared to normal contrals. Stigmasterol reduced the cartilage degradation as assessed by histological analysis and markedly suppressed MMPs expression both in group 1 and group 2. Our results suggest that stigmasterol may be considered as a possible therapeutical agent in the treatment of OA.
Źródło:
Acta Biochimica Polonica; 2012, 59, 4; 537-541
0001-527X
Pojawia się w:
Acta Biochimica Polonica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
An addendum to the paper "Some Characterizations of Schur Matrices in Ultrametric Fields"
Autorzy:
Natarajan, P.N.
Powiązania:
https://bibliotekanauki.pl/articles/746655.pdf
Data publikacji:
2013
Wydawca:
Polskie Towarzystwo Matematyczne
Tematy:
ultrametric field, Schur matrix
Opis:
In this short note, we add a few remarks in the context of [1].
Źródło:
Commentationes Mathematicae; 2013, 53, 1
0373-8299
Pojawia się w:
Commentationes Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Generalized pell equations for 2 × 2 matrices
Autorzy:
Cohen, Boaz
Powiązania:
https://bibliotekanauki.pl/articles/38120308.pdf
Data publikacji:
2017-06-01
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
matrix equations
Pell equation
Opis:
In this paper we consider the solutions of the generalized matrix Pell equations X2 − dY2 = cI, where X and Y are 2 × 2 matrices over ℤ, d is a non-zero (positive or negative) square-free integer, c is an arbitrary integer and I is the 2 × 2 identity matrix. We determine all solutions of such equations for c = ±1, as well as all non-commutative solutions for an arbitrary c.
Źródło:
Discussiones Mathematicae - General Algebra and Applications; 2017, 37, 1; 13-30
1509-9415
Pojawia się w:
Discussiones Mathematicae - General Algebra and Applications
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Global and local planning of ship route using MATLAB and Simulink
Autorzy:
Kupraty, O.
Tomara, M.
Powiązania:
https://bibliotekanauki.pl/articles/24201406.pdf
Data publikacji:
2023
Wydawca:
Uniwersytet Morski w Gdyni. Wydział Nawigacyjny
Tematy:
safety at sea
global planning
local planning
marine autonomous surface ship
device control
Scenario Matrix
path matrix
route matrix
Opis:
This article considers a new method of decomposing the ship route into global and local planning using MATLAB and Simulink developed by the authors. The authors propose to create a program code in MATLAB and operate it into Simulink. Wherein, the corrective coefficients were written in MATLAB. Such trajectories are constructed as a set of points, collected into the special matrix. In determining of the angle value of the rudder was used the ship’s turning ability such as: high (HG), middle (MD) or low (LW) with regard to passage area. Moreover, in the article were analyzed and calculated the ship rudder effectiveness for Proportional-Integral-Derivative (PID) control. The paper is devoted to the problem of safety navigation. First of all is the task of planning the path: the trajectory of the vessel’s movement in the local water area. The purpose of planning the vessel trajectory in the local water area is to ensure navigation safety due to marine traffic and environmental conditions. One of the tasks of the present work is controlling following a desired trajectory. The article notes affect of the vessel motion deviation into control process.
Źródło:
TransNav : International Journal on Marine Navigation and Safety of Sea Transportation; 2023, 17, 1; 205--215
2083-6473
2083-6481
Pojawia się w:
TransNav : International Journal on Marine Navigation and Safety of Sea Transportation
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The energy of interval valued neutrosophic matrix in decision-making to select the manager for the company project
Autorzy:
Donbosco, Jeni Seles Martina
Ganesan, Deepa
Powiązania:
https://bibliotekanauki.pl/articles/27315316.pdf
Data publikacji:
2023
Wydawca:
Politechnika Wrocławska. Oficyna Wydawnicza Politechniki Wrocławskiej
Tematy:
neutrosophic set
matrix energy
interval-valued neutrosophic matrix
multi-criteria decision-making
Opis:
The concept of energy in graphs and matrices is used effectively in all application areas. The energy of the matrix is an extension of graph energy. The usage of the energy idea in neutrosophic matrices makes it more flexible and applicable in multi-criteria decision-making environments. In this paper, we propose the energy approach in neutrosophic matrices with interval values. We determined the given energy’s upper and lower bounds. The energy is used of the interval-valued neutrosophic matrix to address the MCDM problem. A new strategy has been introduced called the interval-valued neutrosophic energy method to solve this problem. We look at the problem of choosing a qualified manager for a business project. A team of professionals in the company evaluates the options using neutrosophic numbers with interval values, and the energy method is then used to calculate the result. The result has been compared with the TOPSIS method results to show that the outcomes are similar.
Źródło:
Operations Research and Decisions; 2023, 33, 4; 35--51
2081-8858
2391-6060
Pojawia się w:
Operations Research and Decisions
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
International market selection: a MABA based EDAS analysis framework
Autorzy:
Hashemkhani Zolfani, Sarfaraz
Ebadi Torkayesh, Ali
Ecer, Fatih
Turskis, Zenonas
Šaparauskas, Jonas
Powiązania:
https://bibliotekanauki.pl/articles/19233641.pdf
Data publikacji:
2021
Wydawca:
Instytut Badań Gospodarczych
Tematy:
international market selection
EDAS
General Electric (GE) Matrix
McKinsey matrix
MABA analysis
Opis:
Research background: International market selection is an essential issue for big companies that supply food products. Different types of decision factors and different characteristics of different international markets have brought up a complicated decision-making problem for food supply companies. In order to select the most suitable and profitable market, food supply companies have to consider several qualitative and quantitative factors, including social, political, economic, and ecological aspects. Purpose of the article: In order to overcome international market selection issues, the current study develops a novel integrated decision-making tool. Methods: A novel decision-making model of market analysis is developed as an extended model of Market Attractiveness and Business Attractiveness (MABA) analysis based on the Multiple Attribute Decision Making (MADM). To improve the MABA analysis model, we combine the EDAS method with MABA analysis to empower decision-makers in food supply companies to evaluate several international markets and select the most profitable market for their products. Findings & value added: In this study, we first identified the most important and frequently used decision factors for market analysis problems within MABA analysis under two categories: market attractiveness and business attractiveness. To show the proposed methodology's applicability and feasibility, we perform a case study for a food supply company in Iran that supplies products to Middle East and Asian countries. In order to investigate the reliability of the obtained results, we perform a sensitivity analysis concerning the importance of involved decision factors. The proposed decision-making tool results suggest that the model can be used as a reliable tool for market analysis problems. To sum up the long-term value of the study, we have developed a novel decision-making tool using MABA analysis and the EDAS method. No study integrates any MCDM methods with MABA analysis to the best of our knowledge. Integration of EDAS method with MABA analysis empowers decision-makers in market selection division to use more systematic methods for evaluating several markets.
Źródło:
Oeconomia Copernicana; 2021, 12, 1; 99-124
2083-1277
Pojawia się w:
Oeconomia Copernicana
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Constant co-polarized echo curves on the Poincare sphere
Autorzy:
Czyż, Z.H.
Powiązania:
https://bibliotekanauki.pl/articles/309100.pdf
Data publikacji:
2001
Wydawca:
Instytut Łączności - Państwowy Instytut Badawczy
Tematy:
radar polarimetry
Poincare sphere module of scattering matrix
Kennaugh matrix
Cassini ovals
Opis:
A set of useful formulae has been presented allowing for computation of the equipower curves on the Poincare sphere of the co-polarized radar returns for both mono- and bi-static scatterings.
Źródło:
Journal of Telecommunications and Information Technology; 2001, 4; 7-10
1509-4553
1899-8852
Pojawia się w:
Journal of Telecommunications and Information Technology
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Stability of continuous-time and discrete-time linear systems
Autorzy:
Kaczorek, T.
Borawski, K.
Powiązania:
https://bibliotekanauki.pl/articles/114496.pdf
Data publikacji:
2016
Wydawca:
Stowarzyszenie Inżynierów i Techników Mechaników Polskich
Tematy:
Frobenius matrix
continuous-time system
discrete-time system
linear
stability
state matrix
Opis:
The inverse Frobenius matrices and the characteristic equations of the inverse systems are investigated. It is shown that the inverse system of continuous-time linear system is asymptotically stable if and only if the standard system is asymptotically stable and the inverse system of discrete-time linear system is asymptotically stable if and only if the standard system is unstable. The considerations are illustrated by numerical examples.
Źródło:
Measurement Automation Monitoring; 2016, 62, 4; 132-135
2450-2855
Pojawia się w:
Measurement Automation Monitoring
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Note on traces of matrix products involving inverses of positive definite ones
Autorzy:
Grzybowski, A. Z.
Powiązania:
https://bibliotekanauki.pl/articles/122804.pdf
Data publikacji:
2018
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
matrix product
trace inequalities
inverse matrix
ślad macierzy
iloczyn macierzy
macierz odwrotna
Opis:
This short note is devoted to the analysis of the trace of a product of two matrices in the case where one of them is the inverse of a given positive definite matrix while the other is nonnegative definite. In particular, a relation between the trace of A-1 H and the values of diagonal elements of the original matrix A is analysed.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2018, 17, 1; 29-36
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On the Faddeev-Sominsky’s algorithm
Autorzy:
Torres-Silva, H.
López-Bonilla, J.
Vidal-Beltrán, S.
Powiązania:
https://bibliotekanauki.pl/articles/1166341.pdf
Data publikacji:
2018
Wydawca:
Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
Tematy:
Adjoint matrix
Characteristic equation
Eigenvalue problem
Faddeev-Sominsky’s method
Inverse matrix
Leverrier-Takeno’s algorithm
Resolvent of a matrix
Opis:
We comment that the Faddeev-Sominsky’s process to obtain an inverse matrix is equivalent to the Cayley-Hamilton-Frobenius theorem plus the Leverrier-Takeno’s method to construct the characteristic polynomial of an arbitrary matrix. Besides, we deduce the Lanczos expression for the resolvent of the corresponding matrix.
Źródło:
World Scientific News; 2018, 106; 238-244
2392-2192
Pojawia się w:
World Scientific News
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On the quality of regular correlated pairs (R(K), R0(K)), measured by the value of the coefficient R2(k)
Autorzy:
Plebaniak, Joanna
Powiązania:
https://bibliotekanauki.pl/articles/424923.pdf
Data publikacji:
2013
Wydawca:
Wydawnictwo Uniwersytetu Ekonomicznego we Wrocławiu
Tematy:
correlation matrix
universal matrix
Hellwig’s inequality
the coefficient r2(k)
Opis:
If a correlated pair (R(k), R0(k)) is a regular correlated pair, then the coefficient measuring the quality of such a pair satisfies the inequality: r2(k) ≥ F(k)...
Źródło:
Econometrics. Ekonometria. Advances in Applied Data Analytics; 2013, 3(41); 9-14
1507-3866
Pojawia się w:
Econometrics. Ekonometria. Advances in Applied Data Analytics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The Microstructure of WE43 MMC Reinforced with SiC Particles
Autorzy:
Dybowski, B.
Rzychoń, T.
Chmiela, B.
Gryc, A.
Powiązania:
https://bibliotekanauki.pl/articles/356597.pdf
Data publikacji:
2016
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
metal matrix composite
WE43 matrix
SiC Reinforcement
microstructure
interface
mechanical properties
Opis:
It is well known that the properties of a metal matrix composites depend upon the properties of the reinforcement phase, of the matrix and of the interface. A strong interface bonding without any degradation of the reinforcing phase is one of the prime objectives in the development of the metal matrix composites. Therefore, the objective of this work is to characterize the interface structure of WE43/SiC particles composite. Magnesium alloys containing yttrium and neodymium are known to have high specific strength, good creep and corrosion resistance up to 250°C. The addition of SiC ceramic particles strengthens the metal matrix composite resulting in better wear and creep resistance while maintaining good machinability. In the present study, WE43 magnesium matrix composite reinforced with SiC particulates was fabricated by stir casting. The SiC particles with 15 μm, 45 μm and 250 μm diameter were added to the WE43 alloy. The microstructure of the composite was investigated by optical microscopy, scanning electron microscopy, scanning transmission electron microscopy and XRD analysis. YSi and Y2Si reaction products are observed at the interfaces between SiC particles and WE43 matrix in the composite stirred at 780°C. Microstructure characterization of WE43 MMC with the 45 μm, stirred at 720°C showed relative uniform reinforcement distribution. Moreover, the Zr-rich particles at particle/matrix interface were visible instead of Y-Si phases. In the case of composite with 15 μm particles the numerous agglomerates and reaction products between SiC particles and alloying elements were observed. The presence of SiC particles assisted in improving hardness and decreasing the tensile strength and plastic properties.
Źródło:
Archives of Metallurgy and Materials; 2016, 61, 1; 393-398
1733-3490
Pojawia się w:
Archives of Metallurgy and Materials
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A numerical algorithm for computing the inverse of a Toeplitz pentadiagonal matrix
Autorzy:
Talibi, B.
Hadj, D. A.
Sarsri, D.
Powiązania:
https://bibliotekanauki.pl/articles/122953.pdf
Data publikacji:
2018
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
pentadiagonal matrix
Toeplitz matrix
K-Hessenberg matrix
inverse
system algebry komputerowej
macierz K-Hessenberga
odwrotność
inwersja
algorytm numeryczny
macierz Toeplitza
Opis:
In the current paper, we present a computationally efficient algorithm for obtaining the inverse of a pentadiogonal toeplitz matrix. Few conditions are required, and the algorithm is suited for implementation using computer algebra systems.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2018, 17, 3; 83-95
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On the $S$-matrix of Schrödinger operator with nonlocal $\delta$-interaction
Autorzy:
Główczyk, Anna
Kużel, Sergiusz
Powiązania:
https://bibliotekanauki.pl/articles/2051910.pdf
Data publikacji:
2021
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
Lax-Phillips scattering scheme
scattering matrix
S-matrix
nonlocal -interaction
non-cyclic function
Opis:
Schrodinger operators with nonlocal δ-interaction are studied with the use of the Lax-Phillips scattering theory methods. The condition of applicability of the Lax-Phillips approach in terms of non-cyclic functions is established. Two formulas for the S-matrix are obtained. The first one deals with the Krein-Naimark resolvent formula and the Weyl-Titchmarsh function, whereas the second one is based on modified reflection and transmission coefficients. The S-matrix S(z) is analytical in the lower half-plane $\mathbb{C}$_ when the Schrodinger operator with nonlocal δ-interaction is positive self-adjoint. Otherwise, S(z) is a meromorphic matrix-valued function in $\mathbb{C}$_ and its properties are closely related to the properties of the corresponding Schrodinger operator. Examples of S-matrices are given.
Źródło:
Opuscula Mathematica; 2021, 41, 3; 413-435
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Asymptotic expansion of large eigenvalues for a class of unbounded Jacobi matrices
Autorzy:
Harrat, Ayoub
Zerouali, El Hassan
Zielinski, Lech
Powiązania:
https://bibliotekanauki.pl/articles/255073.pdf
Data publikacji:
2020
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
tridiagonal matrix
band matrix
unbounded self-adjoint operator discrete spectrum
large eigenvalues
asymptotics
Opis:
We investigate a class of infinite tridiagonal matrices which define unbounded self-adjoint operators with discrete spectrum. Our purpose is to establish the asymptotic expansion of large eigenvalues and to compute two correction terms explicitly.
Źródło:
Opuscula Mathematica; 2020, 40, 2; 241-270
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Evaluation of the Levels of Metalloproteinsase-2 in Patients with Abdominal Aneurysm and Abdominal Hernias
Autorzy:
Antoszewska, Magdalena
Powiązania:
https://bibliotekanauki.pl/articles/1396355.pdf
Data publikacji:
2013-05-01
Wydawca:
Index Copernicus International
Tematy:
abdominal aortic aneurysm
abdominal hernia
matrix metalloproteinases (MMP-s)
extracellular matrix (ECM)
fascia
Opis:
Abdominal aortic aneurysms and abdominal hernias become an important health problems of our times. Abdominal aortic aneurysm and its rupture is one of the most dangerous fact in vascular surgery. There are some theories pointing to a multifactoral genesis of these kinds of diseases, all of them assume the attenuation of abdominal fascia and abdominal aortic wall. The density and continuity of these structures depend on collagen and elastic fibers structure. Reducing the strengthof the fibersmaybedue to changes in the extracellular matrix (ECM) by the proteolytic enzymes-matrix metalloproteinases (MMPs) that degrade extracellular matrix proteins. These enzymes play an important role in the development of many disease: malignant tumors (colon, breast, lung, pancreas), cardiovascular disease (myocardial infarction, ischemia-reperfusion injury), connective tissue diseases (Ehler-Danlos Syndrome, Marfan’s Syndrome), complications of diabetes (retinopathy, nephropathy). One of the most important is matrix metalloproteinase-2 (MMP-2). The aim of the study was an estimation of the MMP-2 blood levels in patients with abdominal aortic aneurysm and primary abdominal hernia, and in patients with only abdominal aortic aneurysm. Material and methods. The study involved 88 patients aged 42 to 89 years, including 75 men and 13 women. Patients were divided into two groups: patients with abdominal aortic aneurysm and primary abdominal hernia (45 persons, representing 51.1% of all group) and patients with only abdominal aortic aneurysm (43 persons, representing 48,9% of all group). Results. It was a statistically significant increase in MMP-2 blood levels in patients with abdominal aortic aneurysm and primary abdominal hernia compared to patients with only abdominal aortic aneurysm. It was a statistically significant increase in the prevalence of POCHP in patients with only abdominal aortic aneurysm compared to patients with abdominal aortic aneurysm and primary abdominal hernia. Conclusions. Statistically significant higher MMP-2 blood levels in patients with abdominal aortic aneurysm and primary abdominal hernia seems shows that this enzyme plays a role in the pathogenesis of primary abdominal hernias. The observed distribution of MMP-2 blood levels in patients with abdominal aortic aneurysm and primary abdominal hernia may raise the conclusion that this enzyme determines the presence of multi-organ failure of the connective tissue - the patients with only abdominal aortic aneurysm had significantly lower MMP-2 blood levels.
Źródło:
Polish Journal of Surgery; 2013, 85, 5; 271-278
0032-373X
2299-2847
Pojawia się w:
Polish Journal of Surgery
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Stiffness Matrix Analysis of Six-Revolute Serial Manipulator
Autorzy:
Knapczyk, J.
Ryska, M.
Powiązania:
https://bibliotekanauki.pl/articles/387089.pdf
Data publikacji:
2012
Wydawca:
Politechnika Białostocka. Oficyna Wydawnicza Politechniki Białostockiej
Tematy:
manipulator szeregowy
jakobian
kartezjańska macierz sztywności
serial manipulator
Jacobian matrix
cartesian stiffness matrix
Opis:
This paper presents a simple procedure that can be used to determine the stiffness matrix of 6R serial manipulator in selected points of the work space with joint stiffness coefficients taking into account. Elastokinematical model for the robot manipulator FANUC S-420F was considered as spatial and serial kinematical chain composed of six rigid links, connected by ideal revolute joint (without clearances and deformable elements), with torsion elasticity of the joint drive system (relative torsion deformations are proportional to acted torques) taking into account. Assumed model is used for displacement analysis of the end-effector for a given applied force in quasi-static condition. The analysis results are presented as Cartesian stiffness matrix of studied manipulator.
Źródło:
Acta Mechanica et Automatica; 2012, 6, 2; 62-65
1898-4088
2300-5319
Pojawia się w:
Acta Mechanica et Automatica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Stabilization of an epidemic model via an N-periodic approach
Autorzy:
Cantó, B.
Coll, C.
Sánchez, E.
Powiązania:
https://bibliotekanauki.pl/articles/330825.pdf
Data publikacji:
2018
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
nonnegative matrix
reducible matrix
seasonality
epidemic process
macierz nieujemna
macierz redukowalna
proces epidemiczny
Opis:
We analyze the evolution of an infectious disease by combining different groups of a population when the route of transmission is via encounters with free-living virulent organisms that can survive for a long time outside the individual. This study involves matrix analysis of lower triangular block matrices and some of their spectral properties. We propose an N-periodic control strategy in order to stabilize the disease around the disease-free equilibrium point.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2018, 28, 1; 185-195
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Maximum packings of the a-fold complete 3-uniform hypergraph with loose 3-cycles
Autorzy:
Bunge, Ryan C.
Collins, Dontez
Conko-Camel, Daryl
El-Zanati, Saad I.
Liebrecht, Rachel
Vasquez, Alexander
Powiązania:
https://bibliotekanauki.pl/articles/255534.pdf
Data publikacji:
2020
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
tridiagonal matrix
band matrix
unbounded self-adjoint operator discrete spectrum
large eigenvalues
asymptotics
Opis:
It is known that the 3-uniform loose 3-cycle decomposes the complete 3-uniform hypergraph of order v if and only if v ≡0, 1, or 2 (mod 9). For all positive integers λand v, we find a maximum packing with loose 3-cycles of the λ-fold complete 3-uniform hypergraph of order v. We show that, if v ≥6, such a packing has a leave of two or fewer edges.
Źródło:
Opuscula Mathematica; 2020, 40, 2; 209-225
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Centrosymmetric graphs and a lower bound for graph energy of fullerenes
Autorzy:
Katona, Gyula Y.
Faghani, Morteza
Ashrafi, Ali Reza
Powiązania:
https://bibliotekanauki.pl/articles/30148717.pdf
Data publikacji:
2014-11-01
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
centrosymmetric matrix
fullerene graph
energy
Opis:
The energy of a molecular graph G is defined as the summation of the absolute values of the eigenvalues of adjacency matrix of a graph G. In this paper, an infinite class of fullerene graphs with 10n vertices, n ≥ 2, is considered. By proving centrosymmetricity of the adjacency matrix of these fullerene graphs, a lower bound for its energy is given. Our method is general and can be extended to other class of fullerene graphs.
Źródło:
Discussiones Mathematicae Graph Theory; 2014, 34, 4; 751-768
2083-5892
Pojawia się w:
Discussiones Mathematicae Graph Theory
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Modified music algorithm for DOA estimation using the a-priori defined unitary matrix
Autorzy:
Janowski, T.
Porosińska, E.
Zając, R.
Powiązania:
https://bibliotekanauki.pl/articles/332526.pdf
Data publikacji:
2009
Wydawca:
Polskie Towarzystwo Akustyczne
Tematy:
DOA
unitary matrix
music algorithm
Opis:
The determination of the number of the simultaneously observed objects is an important problem of the MUSIC algorithm. As the result of the covariance matrix eigendecomposition the eingevector and unitary matrix are obtained. The unitary matrix defines the transformation of the measurement vector. Consequently the obtained vector is orthogonal to the noise subspace. The solution of the eigendecomposition problem can be avoided assuming a-priori knowledge of the unitary matrix. Practically, the passive sonar detects the first appeared noisy object. This enable to beforehand define the set of the unitary matrixes exactly matched to the previously determined directions of the signal arrival. The article presents the form of the matrix and features of the measurement vector transformation. The results of the DOA algorithm computer simulation for passive sonar composed of four hydrophones developed in the OBR CTM S.A. are also presented.
Źródło:
Hydroacoustics; 2009, 12; 77-82
1642-1817
Pojawia się w:
Hydroacoustics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A Generalization of a Theorem of Móricz and Rhoades on Weighted Means
Autorzy:
Natarajan, P.N.
Powiązania:
https://bibliotekanauki.pl/articles/1912849.pdf
Data publikacji:
2012
Wydawca:
Polskie Towarzystwo Matematyczne
Tematy:
Regular matrix
Weighted means
Equivalence
Opis:
In this paper,we prove a theorem which gives an equivalent formulation of summability by weighted mean methods. The result of Hardy [1] and that of Móricz and Rhoades [2] are special cases of this theorem. In this context, it is important to note that the result of Móricz and Rhoades is valid even without the assumption \(\frac{p_n}{P_n}\to0\) as \(n\to\infty\).
Źródło:
Commentationes Mathematicae; 2012, 52, 1
0373-8299
Pojawia się w:
Commentationes Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The Laplacian spectrum of some digraphs obtained from the wheel
Autorzy:
Su, Li
Li, Hong-Hai
Zheng, Liu-Rong
Powiązania:
https://bibliotekanauki.pl/articles/743220.pdf
Data publikacji:
2012
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
digraph
Laplacian matrix
eigenvalue
wheel
Opis:
The problem of distinguishing, in terms of graph topology, digraphs with real and partially non-real Laplacian spectra is important for applications. Motivated by the question posed in [R. Agaev, P. Chebotarev, Which digraphs with rings structure are essentially cyclic?, Adv. in Appl. Math. 45 (2010), 232-251], in this paper we completely list the Laplacian eigenvalues of some digraphs obtained from the wheel digraph by deleting some arcs.
Źródło:
Discussiones Mathematicae Graph Theory; 2012, 32, 2; 255-261
2083-5892
Pojawia się w:
Discussiones Mathematicae Graph Theory
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On solving linear algebraic equations with an ill-conditioned matrix
Autorzy:
Moszyński, Krzysztof
Powiązania:
https://bibliotekanauki.pl/articles/1340476.pdf
Data publikacji:
1995
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
matrix decomposition
linear algebraic systems
Źródło:
Applicationes Mathematicae; 1993-1995, 22, 4; 499-513
1233-7234
Pojawia się w:
Applicationes Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A note on Andersons note on a stationary autoregressive process
Autorzy:
Kala, Radosław
Powiązania:
https://bibliotekanauki.pl/articles/729964.pdf
Data publikacji:
2010
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
spectral radius
stationarity
covariance matrix
Opis:
A form of the covariance matrix of a weakly stationary first-order autoregressive process is established.
Źródło:
Discussiones Mathematicae Probability and Statistics; 2010, 30, 2; 237-239
1509-9423
Pojawia się w:
Discussiones Mathematicae Probability and Statistics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Unusual application of porous matrix made from quartzite schist
Autorzy:
Marciniszyn, T.
Powiązania:
https://bibliotekanauki.pl/articles/110623.pdf
Data publikacji:
2013
Wydawca:
Politechnika Wrocławska. Oficyna Wydawnicza Politechniki Wrocławskiej
Tematy:
quartzite schist matrix
QSM
resonance
Opis:
Results of dielectric spectroscopy of quartzite slate are presented. New type of a porous matrix based on quartzite schist was described. The matrix was filled by a ferroelectric TGS-crystal. The phase transition of the TGS bulk was shown to occur and compared with the phase transition of the component quartzite schist filled with TGS (QSM-TGS). The resonance phenomena in the QSM were shown and described from the point of view filled material.
Źródło:
Physicochemical Problems of Mineral Processing; 2013, 49, 1; 323-328
1643-1049
2084-4735
Pojawia się w:
Physicochemical Problems of Mineral Processing
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A key metric and its calculation models for a continuous diagnosis capability based on a dependency matrix
Autorzy:
Shi, J.-Y.
Lin, X.-G.
Shi, M.
Powiązania:
https://bibliotekanauki.pl/articles/221741.pdf
Data publikacji:
2012
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
fault diagnosis
dependency matrix
measurement
Opis:
This paper is devoted to measuring the continuous diagnosis capability of a system. A key metric and its calculation models are proposed enabling us to measure the continuous diagnosis capability of a system directly without establishing and searching the sequential fault tree (SFT) of the system. At first a description of a D matrix is given and its metric is defined to determine the weakness of a continuous diagnosis. Then based on the definition of a sequential fault combination, a sequential fault tree (SFT) is defined with its establishment process summarized. A key SFT metric is established to measure the continuous diagnosis capability of a system. Two basic types of dependency graphical models (DGMs) and one combination type of DGM are selected for characteristics analysis and establishment of metric calculation models. Finally, both the SFT searching method and direct calculation method are applied to two designs of one type of an auxiliary navigation equipment, which shows the high efficiency of the direct calculation method.
Źródło:
Metrology and Measurement Systems; 2012, 19, 3; 509-520
0860-8229
Pojawia się w:
Metrology and Measurement Systems
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Reconstructing Surface Triangulations by Their Intersection Matrices
Autorzy:
Arocha, Jorge L.
Bracho, Javier
García-Colín, Natalia
Hubard, Isabel
Powiązania:
https://bibliotekanauki.pl/articles/31339343.pdf
Data publikacji:
2015-08-01
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
triangulated surface
isomorphism
intersection matrix
Opis:
The intersection matrix of a simplicial complex has entries equal to the rank of the intersecction of its facets. We prove that this matrix is enough to define up to isomorphism a triangulation of a surface.
Źródło:
Discussiones Mathematicae Graph Theory; 2015, 35, 3; 483-491
2083-5892
Pojawia się w:
Discussiones Mathematicae Graph Theory
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Utilization of graph theory in security analysis of power grid
Autorzy:
Válek, Dalibor
Powiązania:
https://bibliotekanauki.pl/articles/526987.pdf
Data publikacji:
2014
Wydawca:
Collegium Civitas
Tematy:
Security
matrix
power grid
graph
Opis:
This paper describes way how to use graph theory in security analysis. As an environment is used network of power lines and devices which are included here. Power grid is considered as a system of nodes which make together graph (network). On the simple example is applied Fiedler´s theory which is able to select the most important power lines of whole network. Components related to these lines are logicly ordered and considered by author´s modified analysis. This method has been improved and optimalized for risks related with illegal acts. Each power grid component has been connected with possible kind of attack and every of this device was gradually evaluated by five coefficients which takes values from 1 to 10. On the coefficient basis was assessed the level of risk. In the last phase the most risky power grid components have been selected. On the selected devices have been proposed security measures.
Źródło:
Securitologia; 2014, 2(20); 87-99
1898-4509
Pojawia się w:
Securitologia
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A method of approximate factorization of positive definite matrix functions
Autorzy:
Janashia, Gigla
Lagvilava, Edem
Powiązania:
https://bibliotekanauki.pl/articles/1216256.pdf
Data publikacji:
1999
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
positive definite matrix function
factorization
Opis:
An algorithm of factorization of positive definite matrix functions of second order is proposed.
Źródło:
Studia Mathematica; 1999, 137, 1; 93-100
0039-3223
Pojawia się w:
Studia Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Incomplete matrix partial fraction expansion
Autorzy:
Dahimene, A.
Azrar, A.
Nourreddine, M.
Powiązania:
https://bibliotekanauki.pl/articles/969685.pdf
Data publikacji:
2009
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
solvent
partial fraction
matrix polynomials
Opis:
The paper presents a method for computing a matrix partial fraction when a complete set of solvents for the "denominator" matrix polynomial does not exist. Partial fraction expansion is a useful tool of analysis and of decomposition of multiple input, multiple output linear time invariant system.
Źródło:
Control and Cybernetics; 2009, 38, 3; 649-654
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Modelling of electric current flow in 1D Pd-C nanostructure: comparison with experiment
Autorzy:
Bielski, W.
Kowalczyk, P.
Czerwosz, E.
Idzik, A.
Rymarczyk, J.
Powiązania:
https://bibliotekanauki.pl/articles/200117.pdf
Data publikacji:
2014
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
nanocomposites
palladium
carbonaceous matrix
homogenization
Opis:
In this paper we propose a model of electric current flow through one-dimensional palladium-carbon nanostructure (nanowire) and compare the results of numerical computations with the experimental data. We focus on two aspects: 1) calculation of the current flow through the nanowire model, 2) determination of the macroscopic parameters in the nanocomposite in our model. Because of a complex micro-geometry of a nanowire, we apply the homogenization method to perform the numerical computations.
Źródło:
Bulletin of the Polish Academy of Sciences. Technical Sciences; 2014, 62, 3; 465-469
0239-7528
Pojawia się w:
Bulletin of the Polish Academy of Sciences. Technical Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Linear operators preserving maximal column ranks of nonbinary boolean matrices
Autorzy:
Song, Seok-Zun
Yang, Sung-Dae
Hong, Sung-Min
Jun, Young-Bae
Kim, Seon-Jeong
Powiązania:
https://bibliotekanauki.pl/articles/728798.pdf
Data publikacji:
2000
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
Boolean matrix
semiring
linear operator on matrices
congruence operator on matrices
maximal column rank of a matrix
Boolean rank of a matrix
Opis:
The maximal column rank of an m by n matrix is the maximal number of the columns of A which are linearly independent. We compare the maximal column rank with rank of matrices over a nonbinary Boolean algebra. We also characterize the linear operators which preserve the maximal column ranks of matrices over nonbinary Boolean algebra.
Źródło:
Discussiones Mathematicae - General Algebra and Applications; 2000, 20, 2; 255-265
1509-9415
Pojawia się w:
Discussiones Mathematicae - General Algebra and Applications
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Some Algebraic Structures of Picture Fuzzy Matrices
Autorzy:
Silambarasan, I.
Powiązania:
https://bibliotekanauki.pl/articles/1031777.pdf
Data publikacji:
2020
Wydawca:
Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
Tematy:
Algebraic product
Algebraic sum
Exponentiation operations
Intuitionistic fuzzy matrix
Picture fuzzy matrix
Scalar multiplication
Opis:
In this paper, the concept of Picture fuzzy matrices, which are direct extensions of an intuitionistic fuzzy matrices. Then we define some algebraic operations of Picture fuzzy matrices, such as max-min, min-max, complement, algebraic sum, algebraic product, scalar multiplication (nA) and exponentiation (A^n). We also investigate their algebraic properties of these operations. Furthermore, we define a new operation(@) on Picture fuzzy matrices and discuss distributive laws in the case where the operations of ⊕_℘,〖 ⊗〗_℘,〖 ∧〗_℘ and ∨_℘ are combined each other.
Źródło:
World Scientific News; 2020, 150; 78-91
2392-2192
Pojawia się w:
World Scientific News
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Asymptotics of the discrete spectrum for complex Jacobi matrices
Autorzy:
Malejki, M.
Powiązania:
https://bibliotekanauki.pl/articles/255272.pdf
Data publikacji:
2014
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
tridiagonal matrix
complex Jacobi matrix
discrete spectrum
eigenvalue
asymptotic formula
unbounded operator
Riesz projection
Opis:
The spectral properties and the asymptotic behaviour of the discrete spectrum for a special class of infinite tridiagonal matrices are given. We derive the asymptotic formulae for eigenvalues of unbounded complex Jacobi matrices acting in l2(N).
Źródło:
Opuscula Mathematica; 2014, 34, 1; 139-160
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Determining preference orders based on a majority margin matrix
Autorzy:
Bury, H.
Wagner, D.
Powiązania:
https://bibliotekanauki.pl/articles/406661.pdf
Data publikacji:
2013
Wydawca:
Politechnika Wrocławska. Oficyna Wydawnicza Politechniki Wrocławskiej
Tematy:
profile of preference orders
pairwise comparisons
outranking matrix
majority margin matrix
Debord’s method
Opis:
When determining a group ranking, the information about experts’ opinions may be sometimes incomplete. In such cases, usually only the outranking matrix L or the majority margin matrix ΔL is available. Debord [2] presented a technique for constructing the set of experts’ opinions based on the majority margin matrix. The method proposed – simple and efficient – provides a set of experts’ opinions consistent with the given majority margin matrix.
Źródło:
Operations Research and Decisions; 2013, 23, 2; 25-41
2081-8858
2391-6060
Pojawia się w:
Operations Research and Decisions
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Low Density Parity Check Codes Constructed from Hankel Matrices
Autorzy:
Tehami, M. A.
Djebbari, A.
Powiązania:
https://bibliotekanauki.pl/articles/958065.pdf
Data publikacji:
2018
Wydawca:
Instytut Łączności - Państwowy Instytut Badawczy
Tematy:
dual diagonal matrix
error correcting codes
girth
Hankel matrix
low density parity check code
Opis:
In this paper, a new technique for constructing low density parity check codes based on the Hankel matrix and circulant permutation matrices is proposed. The new codes are exempt of any cycle of length 4. To ensure that parity check bits can be recursively calculated with linear computational complexity, a dual-diagonal structure is applied to the parity check matrices of those codes. The proposed codes provide a very low encoding complexity and reduce the stored memory of the matrix H in which this matrix can be easily implemented comparing to others codes used in channel coding. The new LDPC codes are compared, by simulation, with uncoded bi-phase shift keying (BPSK). The result shows that the proposed codes perform very well over additive white Gaussian noise (AWGN) channels.
Źródło:
Journal of Telecommunications and Information Technology; 2018, 3; 37-41
1509-4553
1899-8852
Pojawia się w:
Journal of Telecommunications and Information Technology
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Recurrence form for determinant of a heptadiagonal symmetric Toeplitz matrix
Autorzy:
Borowska, J.
Łacińska, L.
Powiązania:
https://bibliotekanauki.pl/articles/122918.pdf
Data publikacji:
2014
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
Toeplitz matrix
heptadiagonal matrix
determinant
linear recurrence equations
macierze Teoplitza
determinanta
liniowe równania rekurencyjne
Opis:
In this paper we show that the determinant of heptadiagonal symmetric Toeplitz matrix can be represented by a particular solution of the system of three homogeneous linear recurrence equations. The general considerations are illustrated by certain numerical example implementated in the Maple system.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2014, 13, 4; 19-26
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Stability of the Gaussian elimination for special classes of matrices. Part I
Autorzy:
Kiełbasiński, Andrzej
Powiązania:
https://bibliotekanauki.pl/articles/747677.pdf
Data publikacji:
1989
Wydawca:
Polskie Towarzystwo Matematyczne
Tematy:
Direct methods for linear systems and matrix inversion
Matrix norms, conditioning, scaling
Roundoff error
Opis:
.
Part I contains rounding-error analysis of Gaussian elimination for the triangular factorization and for solving linear systems in the case of tridiag-onal symmetric definite matrix.
Źródło:
Mathematica Applicanda; 1989, 17, 31
1730-2668
2299-4009
Pojawia się w:
Mathematica Applicanda
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Konsekwencje majoryzowania macierzy korelacji przez macierz uniwersalną na tle nierównoci Hellwiga
The Consequences of the Majorisation of the Correlation Matrix by the Universal Matrix Based on Hellwigs Inequality
Autorzy:
Kolupa, Michał
Plebaniak, Joanna
Powiązania:
https://bibliotekanauki.pl/articles/1830802.pdf
Data publikacji:
2011-12-31
Wydawca:
Główny Urząd Statystyczny
Tematy:
macierz korelacji
macierz uniwersalna
nierówność Z. Hellwiga
correlation matrix
universal matrix
Hellwig’s inequality
Źródło:
Przegląd Statystyczny; 2011, 58, 3-4; 224-230
0033-2372
Pojawia się w:
Przegląd Statystyczny
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The K4 graph and the inertia of the adjacency matrix for a connected planar graph
Autorzy:
Taliceo, Nicholas P.
Griffith, Daniel A.
Powiązania:
https://bibliotekanauki.pl/articles/2021553.pdf
Data publikacji:
2018
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
K4 graph
planar graph
matrix inertia
adjacency matrix
Jacobian term
Nauki Humanistyczne i Społeczne
Źródło:
Studia komitetu przestrzennego zagospodarowania kraju PAN; 2018, 183; 185-209
0079-3507
Pojawia się w:
Studia komitetu przestrzennego zagospodarowania kraju PAN
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The bovine tyrosine hydroxylase gene associates in vitro with the nuclear matrix by its first intron sequence*.;
Autorzy:
Lenartowski, Robert
Grzybowski, Tomasz
Miścicka-Śliwka, Danuta
Wojciechowski, Waldemar
Goc, Anna
Powiązania:
https://bibliotekanauki.pl/articles/1043467.pdf
Data publikacji:
2003
Wydawca:
Polskie Towarzystwo Biochemiczne
Tematy:
intronic S/MAR
tissue specificity
scaffold/matrix attachment region (S/MAR)
tyrosine hydroxylase
nuclear matrix
Opis:
Recently we have shown that in vitro binding of the proximal part of the human tyrosine hydroxylase gene to the nuclear matrix is correlated with its transcriptional activity. The strongest binding potential was predicted by computing for the first intron sequence (Lenartowski & Goc, 2002, Neurosci Lett.; 330 : 151-154). In this study a 16 kb fragment of the bovine genomic DNA containing the tyrosine hydroxylase gene was investigated for its affinity to the nuclear matrix. Only a 950 bp fragment encoding the distal part of the first intron, second exon and a few nucleotides of the second intron bound to the nuclear matrix. The binding was independent of the tissue-specific tyrosine hydroxylase gene activation. The fragment was subcloned and sequenced. Computer search pointed to one potential intronic matrix attachment region with two AP1-like sites embedded in the sequence. We conclude that even if the position of the matrix binding region is conserved among the tyrosine hydroxylase genes in mammals, its tissue specificity and/or function is not preserved or is achieved by different mechanisms.
Źródło:
Acta Biochimica Polonica; 2003, 50, 3; 865-873
0001-527X
Pojawia się w:
Acta Biochimica Polonica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Pozyskiwanie helu z gazu ziemnego za pomocą technik membranowych
Acquistion of helium from natural gas using membrane techniques
Autorzy:
Szwast, M.
Zalewski, M.
Nikpour, R.
Sobczak, A.
Powiązania:
https://bibliotekanauki.pl/articles/2072941.pdf
Data publikacji:
2014
Wydawca:
Stowarzyszenie Inżynierów i Techników Mechaników Polskich
Tematy:
hel
separacja membranowa
membrany Mixed Matrix
Pebax
Matrimid
helium
membrane separation
Mixed Matrix membrane Pebax
Opis:
Przeanalizowano komercyjne membrany, które umożliwiły zatężenie helu w strumieniu metanu. Przebadano również własne moduły, w których warstwa separacyjna składała się z polimerów: Matrimid i Pebax oraz membrany typu Mixed Matrix, w których warstwa separacyjna składała się z polimeru Pebax oraz z nanocząstek krzemionki. Uzyskane wyniki były gorsze od wyników na modułach komercyjnych. Przebadano również moduł o strukturze szklistej firmy Polymemtech, który wzbogacał gaz w hel w większym stopniu niż komercyjne moduły.
In this study, the commercial membranes were analyzed which allowed the concentration of helium in methane stream. Our own modules were examined, too. Membranes composed of separation layers made of polymers: Pebax and Matrimid and also Mixed Matrix membranes with a separation layer (composed of a polymer Pebax and silica nanoparticles) were tested. The results were worse than those obtained for commercial modules. In the last step a module produced by the Polish company - Polymemtech was tested. Good results of helium enrichment were obtained in the module with glassy membranes.
Źródło:
Inżynieria i Aparatura Chemiczna; 2014, 4; 304--305
0368-0827
Pojawia się w:
Inżynieria i Aparatura Chemiczna
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Almost convergent sequence spaces derived by the domain of quadruple band matrix
Autorzy:
Bişgin, Mustafa Cemil
Powiązania:
https://bibliotekanauki.pl/articles/1794787.pdf
Data publikacji:
2020-07-06
Wydawca:
Uniwersytet Pedagogiczny im. Komisji Edukacji Narodowej w Krakowie
Tematy:
matrix domain
Schauder basis
beta- and gamma-duals
Banach Limits
almost convergence and matrix classes
Opis:
In this work, we construct the sequence spaces $f(Q(r,s,t,u))$, $f_0(Q(r,s,t,u))$ and $f_s(Q(r,s,t,u))$, where $Q(r,s,t,u)$ is quadruple band matrix which generalizes the matrices $Δ^{3}$, $B(r,s,t)$, $Δ^{2}$, $B(r,s)$ and $Δ$, where $Δ^{3}$, $B(r,s,t)$, $Δ^{2}$, $B(r,s)$ and $Δ$ are called third order difference, triple band, second order difference, double band and difference matrix, respectively. Also, we prove that these spaces are BK-spaces and are linearly isomorphic to the sequence spaces $f$, $f_0$ and $f_s$, respectively. Moreover, we give the Schauder basis and $β$-, $γ$-duals of those spaces. Lastly, we characterize some matrix classes related to those spaces.
Źródło:
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica; 2020, 19; 155-170
2300-133X
Pojawia się w:
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Grafika jako narzędzie badawcze. Dwugłos o matrycy
Graphic art as a cognitive tool. Two voices upon the matrix
Autorzy:
Dudzik, Sebastian
Glinkowski, Marek
Powiązania:
https://bibliotekanauki.pl/articles/424699.pdf
Data publikacji:
2016
Wydawca:
Akademia Sztuk Pięknych w Gdańsku
Tematy:
graphic art, cultural matrix, transcoding, objectivity of matrix, grafika, matryca kulturowa, matryca transkodowanie, obiektowość matrycy
Opis:
In the article “Graphic art as a cognitive tool. Two voices upon the matrix”, Sebastian Dudzik from the perspective of an art historian, and Marek Glinkowski as an artist, analyse a range of issues constituent for the field of graphic art. Presenting the potential of research rarely used in the discipline of graphic art, they consider its crucial strategies, attitudes and categories. The matrix takes the most important position, the process of creating the matrix, the use of creative strategies and analysis of printed images as a record of cognitive processes. The graphic artist as a researcher and observer, his basic tools and their possibilities are presented here in a wide historical, contemporary, media and scientific context. The graphic matrix and multiplication as analytic tools are considered on the basis of the artistic experience of Marek Glinkowski. Matrix and multiplication are treated as cognitive tools used in the field of media and in social and cultural contexts. These considerations serve as contributions to further discussion, which become more and more audible beyond the narrow group of professionals, this recognition owing also to the propagation of art based research attitudes.
Źródło:
Sztuka i Dokumentacja; 2016, 14; 92-104
2080-413X
Pojawia się w:
Sztuka i Dokumentacja
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
An Interval-Valued Intuitionistic Fuzzy Matrices Based on Hamacher Operations
Autorzy:
Silambarasan, I.
Powiązania:
https://bibliotekanauki.pl/articles/1031793.pdf
Data publikacji:
2020
Wydawca:
Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
Tematy:
Exponentiation operations
Fuzzy matrix
Hamacher product
Hamacher sum
Interval-valued intuitionistic fuzzy matrix
Scalar multiplication
Opis:
The objective of this paper is to apply the concept of fuzzy matrices to interval-valued intuitionistic fuzzy matrices. In this paper, we introduce the Hamacher operations of interval-valued intuitionistic fuzzy matrices and prove some desirable properties of these operations, such as commutativity, idempotency and monotonicity. Further, we prove De Morgan's laws over complement for these operations. Then we constructe the scalar multiplication (n._h A) and exponentiation (A^(∧_h n)) operations of interval-valued fuzzy intuitionistic matrices and investigates the algebraic properties.
Źródło:
World Scientific News; 2020, 150; 148-161
2392-2192
Pojawia się w:
World Scientific News
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Non symmetric random walk on infinite graph
Autorzy:
Zygmunt, M. J.
Powiązania:
https://bibliotekanauki.pl/articles/254997.pdf
Data publikacji:
2011
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
random walk on an infinite graph
block tridiagonal transition matrix
spectral measure matrix orthogonal polynomials
Opis:
We investigate properties of a non symmetric Markov's chain on an infinite graph. We show the connection with matrix valued random walk polynomials which satisfy the orthogonality formula with respect to non a symmetric matrix valued measure.
Źródło:
Opuscula Mathematica; 2011, 31, 4; 669-674
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Discrete spectra for some complex infinite band matrices
Autorzy:
Malejki, Maria
Powiązania:
https://bibliotekanauki.pl/articles/2048983.pdf
Data publikacji:
2021
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
unbounded operator
band-type matrix
complex tridiagonal matrix
discrete spectrum
eigenvalue
limit points of eigenvalues
Opis:
Under suitable assumptions the eigenvalues for an unbounded discrete operator A in $l_{2}$ , given by an infinite complex band-type matrix, are approximated by the eigenvalues of its orthogonal truncations. Let $\Lambda(A)=\{\lambda \in Lim_{n \rightarrow \infty} \lambda_{n}: \lambda_{n}$ is an eigenvalue of $A_{n}$ for $n \geq 1\}$ where $Lim_{n \rightarrow \infty} \lambda_{n}$ is the set of all limit points of the sequence (λn) and An is a finite dimensional orthogonal truncation of A. The aim of this article is to provide the conditions that are sufficient for the relations σ (A) ⊂ Λ (A) or Λ(A) ) ⊂ σ (A) to be satisfied for the band operator A.
Źródło:
Opuscula Mathematica; 2021, 41, 6; 861-879
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Evaluation of the thermodynamics of a four level system using canonical density matrix method
Autorzy:
Awoga, O.
Ikot, A.
Ituen, E.
Akpabio, L.
Powiązania:
https://bibliotekanauki.pl/articles/240775.pdf
Data publikacji:
2012
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
entropia
Iloczynem Kroneckera
macierz gęstości
redukcja
Canonical density matrix
entropy
Kronecker product
Reduced density matrix
Opis:
We consider a four-level system with two subsystems coupled by weak interaction. The system is in thermal equilibrium. The thermodynamics of the system, namely internal energy, free energy, entropy and heat capacity, are evaluated using the canonical density matrix by two methods. First by Kronecker product method and later by treating the subsystems separately and then adding the evaluated thermodynamic properties of each subsystem. It is discovered that both methods yield the same result, the results obey the laws of thermodynamics and are the same as earlier obtained results. The results also show that each level of the subsystems introduces a new degree of freedom and increases the entropy of the entire system. We also found that the four-level system predicts a linear relationship between heat capacity and temperature at very low temperatures just as in metals. Our numerical results show the same trend.
Źródło:
Archives of Thermodynamics; 2012, 33, 4; 91-107
1231-0956
2083-6023
Pojawia się w:
Archives of Thermodynamics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Evaluation of the transmission and the scattering matrix applicability to the mufflers analysis
Autorzy:
Snakowska, Anna
Gorazd, Łukasz
Jurkiewicz, Jerzy
Powiązania:
https://bibliotekanauki.pl/articles/127786.pdf
Data publikacji:
2019
Wydawca:
Politechnika Poznańska. Instytut Mechaniki Stosowanej
Tematy:
transmission matrix
scattering matrix
multimode wave
silencer
muffler
macierz transmisji
macierz S
fala wielomodowa
tłumik
Opis:
The analysis of the acoustical systems can be carried out based on a number of different formalisms, of which applied frequently are the transfer matrix formalism, in which the chosen state variables are the sound pressure p and the sound velocity v, and the scattering matrix formalism adopting the sound pressures p+ and p and the sound velocities v+ and v of waves propagating through an element in both directions. Even though, they are mathematically equivalent, i.e. there exists the unequivocal transformation from one to another there are some advantages and disadvantages in applying one or the other to analyse mufflers or other acoustic system, especially when the propagation of a multimode wave is assumed and numerical calculations are indispensable. In the paper the transformation between the formalisms has been derived and applied to analyse the phenomena at a junction between the tail pipe and the chamber and also in mufflers composed of one or two chambers. The more flexible for numerical calculations seems the scattering matrix formalism, especially when the number of propagating modes differs on both sides of a junction. On the other hand the transmission matrix formalism is suitable for analysing systems constituting a cascade. The sources of the advantages and disadvantages of both formalisms are explained. The results obtained can be helpful in the effective design of silencers with specific properties.
Źródło:
Vibrations in Physical Systems; 2019, 30, 1; 1-8
0860-6897
Pojawia się w:
Vibrations in Physical Systems
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
More on Signed Graphs with at Most Three Eigenvalues
Autorzy:
Ramezani, Farzaneh
Rowlinson, Peter
Stanić, Zoran
Powiązania:
https://bibliotekanauki.pl/articles/32222534.pdf
Data publikacji:
2022-11-01
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
adjacency matrix
simple eigenvalue
strongly regular signed graph
vertex-deleted subgraph
weighing matrix
association scheme
Opis:
We consider signed graphs with just 2 or 3 distinct eigenvalues, in particular (i) those with at least one simple eigenvalue, and (ii) those with vertex-deleted subgraphs which themselves have at most 3 distinct eigenvalues. We also construct new examples using weighing matrices and symmetric 3-class association schemes.
Źródło:
Discussiones Mathematicae Graph Theory; 2022, 42, 4; 1313-1331
2083-5892
Pojawia się w:
Discussiones Mathematicae Graph Theory
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Three-phase hybrid transformer using matrix-chopper as an interface between two AC voltage sources
Autorzy:
Kaniewski, J.
Fedyczak, Z.
Szcześniak, P.
Powiązania:
https://bibliotekanauki.pl/articles/950668.pdf
Data publikacji:
2014
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
hybrid transformer
power system
matrix chopper
Opis:
This paper deals with a three-phase power system with hybrid transformer (HT) installed between two AC sources. The main aim of this paper is analyze the basic properties of HT with active load and ability to bidirectional energy flow. The HT contains two main units – a conventional transformer with electromagnetic coupling and PWM AC line chopper connected with secondary windings with electric coupling. The HT is located between the distribution system and a Local Balancing Area (LBA) with low power local energy sources. After describing the HT circuit and three-phase, twosources power system, the mathematical and circuit models of the AC source with HT are presented. These models are verified by means of the simulation and experimental test results obtained for a three-phase HT of about 3 kVA rated power.
Źródło:
Archives of Electrical Engineering; 2014, 63, 2; 197-210
1427-4221
2300-2506
Pojawia się w:
Archives of Electrical Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Numerical characterization of an axisymmetric lined duct with flow using the multimodal scattering matrix
Numeryczna charakteryzacja wyściełanego przewodu osiowo-symetrycznego z przepływem za pomocą wielomodalnej macierzy rozpraszania
Autorzy:
Taktak, M.
Majdoub, M. A.
Haddar, M.
Bentahar, M.
Powiązania:
https://bibliotekanauki.pl/articles/281218.pdf
Data publikacji:
2013
Wydawca:
Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:
lined duct
scattering matrix
mean flow
Opis:
In this paper, the development of a numerical method to compute the multimodal scattering matrix of a lined duct in the presence of flow is presented. This method is based on the use of the convected Helmholtz equation and the addition of modal pressures at duct boundaries as additional degrees of freedom of the system. The boundary effects at the inlet and outlet of the finite waveguide are neglected. The choice of this matrix is justified by the fact that it represents an intrinsic characterization of a duct system. The validation of the proposed finite element is done by a comparison with the analytical formulation for simple cases of ducts. Then, the numerical coefficients of the scattering matrix of a lined duct and its acoustic power attenuation are computed for several flow velocities to evaluate the flow effect.
W pracy zaprezentowano numeryczną metodę wyznaczania macierzy rozpraszania dla wyściełanego przewodu z uwzględnieniem wewnętrznego przepływu czynnika. Metodę oparto na zastosowaniu równania konwekcji Helmholtza z wprowadzeniem ciśnień modalnych na brzegach jako dodatkowych stopni swobody układu. Efekty brzegowe na wlocie i wylocie przewodu falowego o skończonej długości pominięto. Wybór macierzy rozpraszania uzasadniono faktem, że reprezentuje ona wewnętrzną charakterystykę analizowanego modelu. Zaproponowany element skończony zweryfikowano poprzez porównanie z istniejącymi rozwiązaniami analitycznymi dla prostych przypadków konfiguracji przewodu. Następnie numerycznie obliczono wartości elementów macierzy rozpraszania oraz współczynniki tłumienia akustycznego dla kilku prędkości przepływu w celu określenia, jak dalece wpływa on na badany układ.
Źródło:
Journal of Theoretical and Applied Mechanics; 2013, 51, 2; 313-325
1429-2955
Pojawia się w:
Journal of Theoretical and Applied Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Effect of multiple remelting on selected properties of dispersed reinforced aluminum matrix composite
Autorzy:
Klasik, A.
Wojciechowski, A.
Sobczak, J.
Sobczak, N.
Powiązania:
https://bibliotekanauki.pl/articles/247582.pdf
Data publikacji:
2008
Wydawca:
Instytut Techniczny Wojsk Lotniczych
Tematy:
transport
recycling
aluminium matrix composite
remelting
Opis:
In the investigations, described in the paper, the analysis of conditions for recycling materials used in car vehicles is presented. This problem is related with the requirement of UE regarding recovery of product, material or energy -(the Instruction EU No. 2000/53/WE, 18.09.2000). This research is aimed on the investigation of the recycling treatment on properties of commercial aluminum matrix composite reinforced with SiC particles, as a candidate for prototype production of modern brake discs and rotors for automotive applications. Repeated remelting of F3S.10S composite (A359 aluminum alloy reinforced with 10% by vol. of SiC particulates) has been performed. Multiple remelting of composite followed by its gravity casting to the cast iron die does not cause any important changes in composite microstructure noticeable under optical microscopy magnifications. The results of investigation of physical and mechanical properties show that recycling treatment, characterized by the number of remelts followed by the same casting procedure, causes the noticeable change of all properties of composite material. The results demonstrate a continuous decrease in utility properties of composite material with increase of the number of remelting operations, showing tolerable reduced strength characteristics after 9th remelting. Nevertheless, in the face of occasional increase in a given property from one remelt to another, these preliminary investigations suggest the possibility to improve recycling process by proper selection of liquid metal treatment and subsequent casting procedure.
Źródło:
Journal of KONES; 2008, 15, 3; 233-238
1231-4005
2354-0133
Pojawia się w:
Journal of KONES
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Cermet composite material based on aluminothermy
Autorzy:
Penkov, I.
Petkov, V.
Valov, R.
Powiązania:
https://bibliotekanauki.pl/articles/391610.pdf
Data publikacji:
2017
Wydawca:
Sieć Badawcza Łukasiewicz - Instytut Odlewnictwa
Tematy:
aluminum matrix composite
aluminum nitride
aluminothermy
Opis:
A new method for synthesis of cermet composite materials was developed based on aluminothermy. Employing this method a cermet composite material with a high content of AlN crystal phase was synthesized. Fine powders of aluminum and silica glass were mixed and heated in a corundum crucible for 6 hours at 1100°C in air. The X-ray diffraction analysis showed that the composite material thus synthesized contains a high concentration of AlN particles (about 33 vol. %) embedded in an aluminum silicon alloy. A small amount of Al2O3 particles (about 8 vol. %) was also found. The method proposed can also be used for synthesis of aluminum matrix composite materials containing, besides AlN, other ceramic reinforcement phases. The properties of these composite materials can be tailored by choosing an appropriate composition of the initial powder mixture for aluminothermic synthesis.
Źródło:
Prace Instytutu Odlewnictwa; 2017, 57, 4; 293-296
1899-2439
Pojawia się w:
Prace Instytutu Odlewnictwa
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Prognozirovanie processa utilizacii proizvodstvennyh othodov matricej tehnologičeskih koèfficientov na baze metoda balansa
Prediction of industrial waste disposal matrix of technological factors on the basis of the method for balance
Autorzy:
Arefyev, I.
Powiązania:
https://bibliotekanauki.pl/articles/360373.pdf
Data publikacji:
2013
Wydawca:
Akademia Morska w Szczecinie. Wydawnictwo AMSz
Tematy:
matrix
method of balance
recycling
ecology
Opis:
Traditional methods for assessing threats were ekological but today are ineffective. It is proposed to address this problem based on the classic balance method, known as the law of conservation of matter Lomonosov– Lavoisier, according to which the total mass of the physical system is preserved for all natural and man-made processes, including the procedures for processing and disposal.
Źródło:
Zeszyty Naukowe Akademii Morskiej w Szczecinie; 2013, 35 (107); 5-10
1733-8670
2392-0378
Pojawia się w:
Zeszyty Naukowe Akademii Morskiej w Szczecinie
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Efektywna metoda przetwarzania macierzy rzadkich
Effective method of processing of sparse matrix
Autorzy:
Jabłoński, J.
Turos, J.
Powiązania:
https://bibliotekanauki.pl/articles/152889.pdf
Data publikacji:
2007
Wydawca:
Stowarzyszenie Inżynierów i Techników Mechaników Polskich
Tematy:
kompresja
macierze rzadkie
compression
sparse matrix
Opis:
Wiele problemów optymalizacyjnych sprowadzanych jest do przetwarzania macierzy rzadkich o bardzo dużych rozmiarach. Tradycyjne metody operacji na macierzach o tak dużych rozmiarach jest czasochłonne dlatego poszukiwane są rozwiązania gwarantujące większą efektywność i krótszy czas przetwarzania. W artykule omówiono wybrane metody i zaproponowano autorską metodę wykorzystania kompresji w poprawie efektywności przetwarzania macierzy rzadkich.
Many optimization problems can be imported to processing of thin matrices about very large sizes. The traditional methods of operation on the matrices about so it is the large sizes time-consuming therefore the guaranteeing the larger efficiency solutions be in the demand and the shorter time of processing. This paper presented the author's method of utilization in improvement of efficiency the compression of processing of sparse matrix in presented study was introduced.
Źródło:
Pomiary Automatyka Kontrola; 2007, R. 53, nr 5, 5; 63-65
0032-4140
Pojawia się w:
Pomiary Automatyka Kontrola
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Material investigations of composites and their selected applications in motor transport
Autorzy:
Rudnik, D.
Pietrzak, K.
Wojciechowski, A.
Sobczak, J.
Kowalewski, Z. L.
Powiązania:
https://bibliotekanauki.pl/articles/243917.pdf
Data publikacji:
2008
Wydawca:
Instytut Techniczny Wojsk Lotniczych
Tematy:
metal matrix composites
microstructure
properties
applications
Opis:
The paper presents advances in the range of brake discs and engine pistons production using metal matrix composites and identifies their advantages in comparison to materials traditionally applied. The wear characteristics in the case of brake discs and thermal shock resistance in the case of pistons were determined. The wear was assessed by measurements of friction coefficients in different temperatures. The thermal shock resistance was described as the crack length formed during the tests. The image analysis was used in the quantitative microstructure assessments for determination of synthetic geometrical parameter correlated with composites properties. The two synthetic geometrical variables have been proposed in the microstructure description of a new generation brake discs and pistons. The selected relationships between functional properties and composite microstructure are presented. It was shown that a life of brake discs made from A359 aluminum alloy reinforced by SiC precipitates is much longer in comparison to traditional, made from cast iron. It was ascertained also that the best thermal shock resistance was obtained in the case of AK12 composite with Al2O3 short fibers in cast heat treated. The results may be treated as the base for the recommendations of tested metal matrix composites for applicability in selected vehicle parts and subsets producing.
Źródło:
Journal of KONES; 2008, 15, 2; 399-407
1231-4005
2354-0133
Pojawia się w:
Journal of KONES
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Oscillation criteria for second order self-adjoint matrix differential equations
Autorzy:
Parhi, N.
Praharaj, P.
Powiązania:
https://bibliotekanauki.pl/articles/1293939.pdf
Data publikacji:
1999
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
matrix differential equations
self-adjoint
oscillation
Opis:
Some results concerning oscillation of second order self-adjoint matrix differential equations are obtained. These may be regarded as a generalization of results for the corresponding scalar equations.
Źródło:
Annales Polonici Mathematici; 1999, 72, 1; 1-14
0066-2216
Pojawia się w:
Annales Polonici Mathematici
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Analysis of catfish value chain in akwa ibom state, Nigeria
Autorzy:
Obot, Akaninyene Patrick
Powiązania:
https://bibliotekanauki.pl/articles/1892306.pdf
Data publikacji:
2020-04-02
Wydawca:
Uniwersytet Przyrodniczy w Poznaniu. Wydawnictwo Uczelniane
Tematy:
Policy Analysis Matrix, Competitiveness and Profitability.
Opis:
Capture fisheries production has increased sharply, and its contribution to economic growth of the region and welfare of the people in Akwa Ibom State have been quite significant. Up to now, micro-analyses of artisanal and capture fisheries, especially catfish (Clarias gariepinus) have often been carried out. Nevertheless, the competitiveness analysis of catfish capture is still limited; also, there is lack of development policies for capture and artisanal fisheries based on economic analyses. Therefore, this paper aims to come up with economic policies supporting the development of artisanal and capture fisheries in Akwa Ibom State. Data was collected in Akwa Ibom State. The types of data used include catfish value chain data, and farmers’ costs and incomes. The Policy Analysis Matrix (PAM) method was used to reach the objective of this study. The study found that the Private Cost Ratio (PCR) was 0.61 for producers, 0.96 for processors and 0.59 for marketers which means that the production of agricultural goods was profitable for the farmers. In turn, the Domestic Resources Cost Ratio (DRC) was 0.17 for producers, 0.65 for processors and 0.34 for marketers, meaning that the value of domestic resources used in production is lower than the value of foreign exchange earned or saved; this indicates that the industry might have a comparative advantage. Research implications showed that the catfish fisheries business generated economic and financial benefits for local fishermen. It would be more advantageous to be able to compete with catfish from other regions as well as other countries, particularly if supported by government policies for a consistent and sustainable stabilization of input prices and production output of catfish fisheries.
Źródło:
Journal of Agribusiness and Rural Development; 2020, 55, 1; 53-60
1899-5241
Pojawia się w:
Journal of Agribusiness and Rural Development
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Mózgi w naczyniu
Brains in a vat
Autorzy:
Albiński, Tomasz
Powiązania:
https://bibliotekanauki.pl/articles/950198.pdf
Data publikacji:
2012-06-16
Wydawca:
Uniwersytet im. Adama Mickiewicza w Poznaniu
Tematy:
brains in vats
putnam
realism
matrix
Opis:
Although there is a disagreement about how Putnam’s argument should be understood, it is possible to point to several elements of this argument which are common for many different reconstructions. In this paper I have tried to show that not all of them are unquestionable. And I want to propose a new way in which self-refutation of statement „I am a brain in a vat” may be understood. A form of this reconstruction is neutral for controversy about metaphysical realism or skepticism – it differs from the argument suggested by Putnam’s text. But I think that a story about envatted brains is simply a story about a language.
Źródło:
Filozofia Publiczna i Edukacja Demokratyczna; 2012, 1, 1; 81-92
2299-1875
Pojawia się w:
Filozofia Publiczna i Edukacja Demokratyczna
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Determinantal identities and examples of their applications
Autorzy:
Paszkowski, Stefan
Powiązania:
https://bibliotekanauki.pl/articles/747818.pdf
Data publikacji:
2005
Wydawca:
Polskie Towarzystwo Matematyczne
Tematy:
Determinants, permanents, other special matrix functions
Opis:
The author provides several less known determinantal identities, mainly variants of Sylvester and Schur. Applications to numerical analysis as well as some historical remarks (concerning Polish contributions) are mentioned.
Źródło:
Mathematica Applicanda; 2005, 33, 47/06
1730-2668
2299-4009
Pojawia się w:
Mathematica Applicanda
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Order unicyclic graphs according to spectral radius of unoriented laplacian matrix
Autorzy:
Fan, Yi-Zheng
Wu, Song
Powiązania:
https://bibliotekanauki.pl/articles/743077.pdf
Data publikacji:
2008
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
unicyclic graph
Laplacian matrix
spectral radius
Opis:
The spectral radius of a graph is defined by that of its unoriented Laplacian matrix. In this paper, we determine the unicyclic graphs respectively with the third and the fourth largest spectral radius among all unicyclic graphs of given order.
Źródło:
Discussiones Mathematicae Graph Theory; 2008, 28, 3; 487-499
2083-5892
Pojawia się w:
Discussiones Mathematicae Graph Theory
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Algebraic approach to domain decomposition
Autorzy:
Práger, Milan
Powiązania:
https://bibliotekanauki.pl/articles/1361065.pdf
Data publikacji:
1994
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
block matrix
domain decomposition
iterative methods
Opis:
An iterative procedure containing two parameters for solving linear algebraic systems originating from the domain decomposition technique is proposed. The optimization of the parameters is investigated. A numerical example is given as an illustration.
Źródło:
Banach Center Publications; 1994, 29, 1; 207-214
0137-6934
Pojawia się w:
Banach Center Publications
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Connection matrix theory for discrete dynamical systems
Autorzy:
Bartłomiejczyk, Piotr
Dzedzej, Zdzisław
Powiązania:
https://bibliotekanauki.pl/articles/1341654.pdf
Data publikacji:
1999
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
Conley index
Morse decomposition
connection matrix
Opis:
In [C] and [F1] the connection matrix theory for Morse decomposition is developed in the case of continuous dynamical systems. Our purpose is to study the case of discrete time dynamical systems. The connection matrices are matrices between the homology indices of the sets in the Morse decomposition. They provide information about the structure of the Morse decomposition; in particular, they give an algebraic condition for the existence of connecting orbit set between different Morse sets.
Źródło:
Banach Center Publications; 1999, 47, 1; 67-78
0137-6934
Pojawia się w:
Banach Center Publications
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Processing and Characterization of Fe-Cu-Ni Sinters Prepared by Ball Milling and Hot Pressing
Autorzy:
Borowiecka-Jamrozek, J.
Powiązania:
https://bibliotekanauki.pl/articles/354394.pdf
Data publikacji:
2020
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
matrix
diamond
hot pressing
diamond tools
Opis:
The main objective of the present work was to determine the effect of powder composition on microstructure and properties of iron-base materials used as matrices in diamond impregnated tools. The Fe-Cu-Ni powders premixed and ball-milled for 30 hours, were used for the experiments. The influence of manufacturing process parameters on microstructure and mechanical properties of produced sinters was investigated. Sintering was done by hot-pressing technique in graphite mould. The powders were consolidated to a virtually pore-free condition during 3 minutes hold at 35 MPa and 900°C. Investigations of the sintered materials included: density, hardness, static tensile test and X-ray diffraction (XRD) analysis. Microstructural and fractographic observations were also made with a scanning electron microscope (SEM). The obtained results indicate that the sintered parts have a high density, close to the theoretical value, good plasticity, relatively high hardness and yield strength, and are characterized by a coarse-grained microstructure.
Źródło:
Archives of Metallurgy and Materials; 2020, 65, 3; 1157-1161
1733-3490
Pojawia się w:
Archives of Metallurgy and Materials
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Nauczanie i wychowanie w pracy z pacjentami chorymi na schizofrenię
Teaching and education in work with patients with schizophrenia
Autorzy:
Witusik, Andrzej
Pietras, Tadeusz
Powiązania:
https://bibliotekanauki.pl/articles/920110.pdf
Data publikacji:
2014-01-01
Wydawca:
Uniwersytet im. Adama Mickiewicza w Poznaniu
Tematy:
psychiatric rehabilitation
social psychiatry
matrix model
Opis:
The purpose of this paper is to discuss the role of pedagogical work in the rehabilitation of patients with schizophrenia. The article discusses ways of rehabilitation of patients with schizophrenia taking into account the importance of teachers work. This model developed G. Thornicroft and coworkers and it is called the matrix model.
Źródło:
Interdyscyplinarne Konteksty Pedagogiki Specjalnej; 2014, 5; 41-50
2300-391X
Pojawia się w:
Interdyscyplinarne Konteksty Pedagogiki Specjalnej
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Eigenvalues of 2-tridiagonal Toeplitz matrix
Autorzy:
Borowska, J.
Łacińska, L.
Powiązania:
https://bibliotekanauki.pl/articles/973624.pdf
Data publikacji:
2015
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
eigenvalues
k-tridiagonal matrices
Toeplitz matrix
Opis:
In this article an explicit formula for eigenvalues of a 2-tridiagonal Toeplitz matrix can be derived on the basis of a certain relation between the determinant of this matrix and the determinant of a pertinent tridiagonal matrix. It can be pointed out that the problem is investigated without imposing any conditions on the elements of matrix.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2015, 14, 4; 11-17
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł

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