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Wyświetlanie 1-50 z 1199
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:
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:
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:
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:
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:
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:
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:
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:
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:
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:
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 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:
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:
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
Wyświetlanie 1-50 z 1199

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