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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:
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:
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:
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:
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:
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 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:
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:
An inverse matrix of an upper triangular matrix can be lower triangular
Autorzy:
Hołubowski, Waldemar
Powiązania:
https://bibliotekanauki.pl/articles/729021.pdf
Data publikacji:
2002
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
upper tringular invertible matrix
group of matrices
Dedekind-finite ring
Opis:
In this note we explain why the group of n×n upper triangular matrices is defined usually over commutative ring while the full general linear group is defined over any associative ring.
Źródło:
Discussiones Mathematicae - General Algebra and Applications; 2002, 22, 2; 161-166
1509-9415
Pojawia się w:
Discussiones Mathematicae - General Algebra and Applications
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Matrix black box algorithms - a survey
Autorzy:
Respondek, Jerzy
Powiązania:
https://bibliotekanauki.pl/articles/2173638.pdf
Data publikacji:
2022
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
matrix algebra
matrix multiplication algorithm
numerical recipes
recursion
algebra macierzowa
algorytm mnożenia macierzy
receptury numeryczne
rekurencja
Opis:
The implementations of matrix multiplication on contemporary, vector-oriented, and multicore-oriented computer hardware are very carefully designed and optimized with respect to their efficiency, due to the essential significance of that operation in other science and engineering domains. Consequently, the available implementations are very fast and it is a natural desire to take advantage of the efficiency of those implementations in other problems, both matrix and nonmatrix. Such an approach is often called a black box matrix computation paradigm in the literature on the subject. In this article, we gathered a broad series of algorithms taking advantage of the efficiency of fast matrix multiplication algorithms in other mathematical and computer science operations.
Źródło:
Bulletin of the Polish Academy of Sciences. Technical Sciences; 2022, 70, 2; art. no. e140535
0239-7528
Pojawia się w:
Bulletin of the Polish Academy of Sciences. Technical Sciences
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:
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:
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:
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:
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:
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:
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:
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:
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:
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:
Matrix jako cykl intertekstualny
Autorzy:
Adam, Franke,
Powiązania:
https://bibliotekanauki.pl/articles/897427.pdf
Data publikacji:
2015
Wydawca:
Uniwersytet Warszawski. Wydawnictwa Uniwersytetu Warszawskiego
Tematy:
Men in Black
Science fiction
Matrix
Anonymous
Monomit
Gurdżijew
Gnostycyzm
Opis:
The text is an attempt to present lesser-known plot interpretations of the Matrix series (both film trilogy and anime Animatrix) movies. The author uses various research perspectives (religio-mystical, political and socio-economic ones) to present possible ways of interpretation of particular motifs and characters, referring among others to mystical beliefs, Gnostic ideas and the tradition of initiation novel, but also to contemporary popular culture regarding films and science fiction novels. The analysis contains as well socio-political issues touched upon in the movie; moreover on the example of Anonymous Group activities the author reveals the way Matrix series still influences contemporary culture.
Źródło:
Przegląd Humanistyczny; 2015, 59(3 (450)); 145-153
0033-2194
Pojawia się w:
Przegląd Humanistyczny
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:
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
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:
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:
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:
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:
The J-matrix method: numerical computations
Autorzy:
Syty, P.
Powiązania:
https://bibliotekanauki.pl/articles/1954523.pdf
Data publikacji:
1999
Wydawca:
Politechnika Gdańska
Tematy:
atomic physics
scattering theory
J-matrix method
numerical computations
Opis:
Numerical calculations of scattering phase shifts have been done using J-matrix method (both non-relativistic and relativistic versions). Results of computations for some simple potentials are described and discussed in this paper. In particularly, it has been shown, that successive numerical approximations converge to results obtained using an analytical formula.
Źródło:
TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk; 1999, 3, 3; 269-276
1428-6394
Pojawia się w:
TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk
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:
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:
Connection matrix pairs
Autorzy:
Richeson, David
Powiązania:
https://bibliotekanauki.pl/articles/1341687.pdf
Data publikacji:
1999
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
Conley index
multi-valued maps
connection matrix pairs
Morse decomposition
index filtrations
Opis:
We discuss the ideas of Morse decompositions and index filtrations for isolated invariant sets for both single-valued and multi-valued maps. We introduce the definition of connection matrix pairs and present the theorem of their existence. Connection matrix pair theory for multi-valued maps is used to show that connection matrix pairs obey the continuation property. We conclude by addressing applications to numerical analysis. This paper is primarily an overview of the papers [R1] and [R2].
Źródło:
Banach Center Publications; 1999, 47, 1; 219-232
0137-6934
Pojawia się w:
Banach Center Publications
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On the matrix negative Pell equation
Autorzy:
Grytczuk, Aleksander
Kurzydło, Izabela
Powiązania:
https://bibliotekanauki.pl/articles/728746.pdf
Data publikacji:
2009
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
the matrix negative Pell equation
powers matrices
Opis:
Let N be a set of natural numbers and Z be a set of integers. Let M₂(Z) denotes the set of all 2x2 matrices with integer entries.
We give necessary and suficient conditions for solvability of the matrix negative Pell equation
(P) X² - dY² = -I with d ∈ N
for nonsingular X,Y belonging to M₂(Z) and his generalization
(Pn) $∑_{i=1}^{n} X₂_{i} - d ∑_{i=1}^{n} Y²_{i} = -I$ with d ∈ N
for nonsingular $X_{i},Y_{i} ∈ M₂(Z)$, i=1,...,n.
Źródło:
Discussiones Mathematicae - General Algebra and Applications; 2009, 29, 1; 35-45
1509-9415
Pojawia się w:
Discussiones Mathematicae - General Algebra and Applications
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:
Matrix i Kartezjusz
Autorzy:
Gumułka, Piotr
Powiązania:
https://bibliotekanauki.pl/articles/429219.pdf
Data publikacji:
2014
Wydawca:
Uniwersytet Papieski Jana Pawła II w Krakowie
Źródło:
Semina Scientiarum; 2014, 13
1644-3365
Pojawia się w:
Semina Scientiarum
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:
Inter-frame Prediction with Fast Weighted Low-rank Matrix Approximation
Autorzy:
Huang, Z. L.
Hsiao, H. F.
Powiązania:
https://bibliotekanauki.pl/articles/227337.pdf
Data publikacji:
2013
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
inter-frame prediction
template matching
block matching
low-rank matrix approximation
weighted low rank
matrix approximation
Opis:
In the field of video coding, inter-frame prediction plays an important role in improving compression efficiency. The improved efficiency is achieved by finding predictors for video blocks such that the residual data can be close to zero as much as possible. For recent video coding standards, motion vectors are required for a decoder to locate the predictors during video reconstruction. Block matching algorithms are usually utilized in the stage of motion estimation to find such motion vectors. For decoder-side motion derivation, proper templates are defined and template matching algorithms are used to produce a predictor for each block such that the overhead of embedding coded motion vectors in bit-stream can be avoided. However, the conventional criteria of either block matching or template matching algorithms may lead to the generation of worse predictors. To enhance coding efficiency, a fast weighted low-rank matrix approximation approach to deriving decoder-side motion vectors for inter frame video coding is proposed in this paper. The proposed method first finds the dominating block candidates and their corresponding importance factors. Then, finding a predictor for each block is treated as a weighted low-rank matrix approximation problem, which is solved by the proposed column-repetition approach. Together with mode decision, the coder can switch to a better mode between the motion compensation by using either block matching or the proposed template matching scheme.
Źródło:
International Journal of Electronics and Telecommunications; 2013, 59, 1; 9-16
2300-1933
Pojawia się w:
International Journal of Electronics and Telecommunications
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Clustering based on eigenvectors of the adjacency matrix
Autorzy:
Lucińska, M.
Wierzchoń, S. T.
Powiązania:
https://bibliotekanauki.pl/articles/331178.pdf
Data publikacji:
2018
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
spectral clustering
adjacency matrix eigenvalues
adjacency matrix eigenvectors
graph perturbation theory
eigengap heuristics
klastrowanie widmowe
macierz sąsiedztwa
teoria grafów
Opis:
The paper presents a novel spectral algorithm EVSA (eigenvector structure analysis), which uses eigenvalues and eigenvectors of the adjacency matrix in order to discover clusters. Based on matrix perturbation theory and properties of graph spectra we show that the adjacency matrix can be more suitable for partitioning than other Laplacian matrices. The main problem concerning the use of the adjacency matrix is the selection of the appropriate eigenvectors. We thus propose an approach based on analysis of the adjacency matrix spectrum and eigenvector pairwise correlations. Formulated rules and heuristics allow choosing the right eigenvectors representing clusters, i.e., automatically establishing the number of groups. The algorithm requires only one parameter—the number of nearest neighbors. Unlike many other spectral methods, our solution does not need an additional clustering algorithm for final partitioning. We evaluate the proposed approach using real-world datasets of different sizes. Its performance is competitive to other both standard and new solutions, which require the number of clusters to be given as an input parameter.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2018, 28, 4; 771-786
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Matrix metalloproteinases in urinary system tumors. Part II - Matrix metalloproteinases in urinary bladder carcinoma
Autorzy:
Młynarczyk, G.
Kudelski, J.
Darewicz, B.
Galewska, Z.
Romanowicz, L.
Powiązania:
https://bibliotekanauki.pl/articles/1918522.pdf
Data publikacji:
2017
Wydawca:
Uniwersytet Medyczny w Białymstoku
Tematy:
matrix metalloproteinases
urinary tract tumors
urinary bladder carcinoma
Opis:
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 the extracellular matrix, resulting in its continuous remodeling. 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 tumor invasion, the formation of distant metastases, as well as to angiogenesis Urinary tract tumors pose a significant diagnostic and therapeutic challenge and their incidence tends to grow every year. The aim of this second part of the review is to describe the urinary system structure and function, and to highlight the contribution of matrix metalloproteinases to the development of urinary bladder tumors
Źródło:
Progress in Health Sciences; 2017, 7(1); 169-174
2083-1617
Pojawia się w:
Progress in Health Sciences
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 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:
Distance Fibonacci numbers, their interpretations and matrix generators
Autorzy:
Bednarz, Urszula
Wołowiec-Musiał, Małgorzata
Powiązania:
https://bibliotekanauki.pl/articles/746716.pdf
Data publikacji:
2013
Wydawca:
Polskie Towarzystwo Matematyczne
Tematy:
Fibonacci numbers, matching, covering, matrix generators
Opis:
In this paper we define a distance Fibonacci numbers, also for negative integers, which generalize the classical Fibonacci numbers and Padovan numbers, simultaneously. We give different interpretations of these numbers with respect to special partitions and compositions, also in graphs. We show a construction of the sequence of distance Fibonacci numbers using the Pascal's triangle. Moreover, we give matrix generators of these numbers, for negative integers, too.
Źródło:
Commentationes Mathematicae; 2013, 53, 1
0373-8299
Pojawia się w:
Commentationes Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On generalized Mersenne numbers, their interpretations and matrix generators
Autorzy:
Ochalik, Paweł
Włoch, Andrzej
Powiązania:
https://bibliotekanauki.pl/articles/747035.pdf
Data publikacji:
2018
Wydawca:
Uniwersytet Marii Curie-Skłodowskiej. Wydawnictwo Uniwersytetu Marii Curie-Skłodowskiej
Tematy:
Mersenne numbers
Fibonacci numbers
matrix generators
Opis:
In this paper we introduce generalized Mersenne numbers. We shall present some of their interpretations and matrix generators which are very useful for determining identities.
Źródło:
Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica; 2018, 72, 1
0365-1029
2083-7402
Pojawia się w:
Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Application of the matrix converter to power flow control
Autorzy:
Szcześniak, P.
Fedyczak, Z.
Powiązania:
https://bibliotekanauki.pl/articles/141546.pdf
Data publikacji:
2014
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
matrix converter
AC systems
power flow
Opis:
Advanced power electronic converters can provide the means to control power flow and ensure proper and secure operation of the future power grid. The small electrical energy sources dispersed in electrical power systems referred to as distributed generation are one of the most significant parts of future grids - Smart Grids. The threephase, direct matrix converter is an alternative solution to the conventional AC-DC-AC converter for interfacing two AC systems in distributed power generation with different voltage and/or frequency parameters. This paper presents a control analysis of a threephase matrix converter employed as a power interface of future electrical grids. The proposed system has been successfully tested for bidirectional power flow operation with different grid operating conditions, such as, frequency and voltage variation.
Źródło:
Archives of Electrical Engineering; 2014, 63, 3; 409-422
1427-4221
2300-2506
Pojawia się w:
Archives of Electrical Engineering
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:
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:
The Safe Control Sensitivity Functions in Matrix Game of Ships
Autorzy:
Lisowski, J.
Powiązania:
https://bibliotekanauki.pl/articles/116375.pdf
Data publikacji:
2018
Wydawca:
Uniwersytet Morski w Gdyni. Wydział Nawigacyjny
Tematy:
matrix game
matrix game of ships
sensitivity
safe control
sensitivity functions
safe control sensitivity functions
ship control algorithm
Safety at Sea
Opis:
The paper describes the use of matrix game theory for the synthesis of safe control of a ship in collision situations. An analysis of the sensitivity of the ship control algorithm to the inaccuracy of process state information and changes in its parameters was presented. Sensitivity characteristics were compared on the example of the navigational situation in the Kattegat Strait for good and restricted visibility at sea.
Źródło:
TransNav : International Journal on Marine Navigation and Safety of Sea Transportation; 2018, 12, 3; 527-532
2083-6473
2083-6481
Pojawia się w:
TransNav : International Journal on Marine Navigation and Safety of Sea Transportation
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Tree-like matrix rings
Autorzy:
Dlab, Vlastimil
Powiązania:
https://bibliotekanauki.pl/articles/1377667.pdf
Data publikacji:
1971
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Źródło:
Fundamenta Mathematicae; 1971, 72, 2; 155-163
0016-2736
Pojawia się w:
Fundamenta Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Matrix divisors of mI
Autorzy:
Spence, Edward
Powiązania:
https://bibliotekanauki.pl/articles/1393882.pdf
Data publikacji:
1972
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Źródło:
Acta Arithmetica; 1972, 20, 2; 189-201
0065-1036
Pojawia się w:
Acta Arithmetica
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:
Incomplete Pairwise Comparison Matrix and Its Application to Ranking of Alternatives
Autorzy:
Ramik, Jaroslav
Powiązania:
https://bibliotekanauki.pl/articles/578493.pdf
Data publikacji:
2013
Wydawca:
Uniwersytet Ekonomiczny w Katowicach
Tematy:
Macierze
Optymalizacja wielokryterialna
Matrix
Multiple criteria optimization
Opis:
A fuzzy preference matrix is the result of pairwise comparison - a powerful method in multi-criteria optimization. When comparing two elements, the decision maker assigns a value between 0 and 1 to any pair of alternatives representing the element of the fuzzy preference matrix. Here, we investigate relations between transitivity and consistency of fuzzy preference matrices and multiplicative preference ones. The results obtained are applied to decision situations where some elements of the fuzzy preference matrix are missing. We propose a new method for completing the fuzzy preference matrix with missing elements called the extension of the fuzzy preference matrix and investigate an important particular case of the fuzzy preference matrix with missing elements. Next, using the eigenvector of the transformed matrix we obtain the corresponding priority vector. Illustrative numerical examples are supplied.
Źródło:
Multiple Criteria Decision Making; 2013, 8; 114-128
2084-1531
Pojawia się w:
Multiple Criteria Decision Making
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:
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 alternative to Gower’s inverse matrix
Autorzy:
López-Bonilla, J.
López-Vázquez, R.
Vidal-Beltrán, S.
Powiązania:
https://bibliotekanauki.pl/articles/1177483.pdf
Data publikacji:
2018
Wydawca:
Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
Tematy:
Adjoint matrix
Characteristic equation
Eigenvalue problem
Faddeev-Sominsky’s method
Gower’s pseudoinverse matrix
Leverrier-Takeno’s algorithm
Opis:
We show that the Faddeev-Sominsky’s process allows construct a natural inverse for any square matrix, which is an alternative to the inverse obtained by Gower.
Źródło:
World Scientific News; 2018, 102; 166-172
2392-2192
Pojawia się w:
World Scientific News
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Strict spectral approximation of a matrix and some related problems
Autorzy:
Ziętak, Krystyna
Powiązania:
https://bibliotekanauki.pl/articles/1339193.pdf
Data publikacji:
1997
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
positive semi-definite matrix
$c_p$-minimal approximation
Moore-Penrose generalized inverse
strict spectral approximation of a matrix
singular values preserving functions
Opis:
We show how the strict spectral approximation can be used to obtain characterizations and properties of solutions of some problems in the linear space of matrices. Namely, we deal with (i) approximation problems with singular values preserving functions, (ii) the Moore-Penrose generalized inverse. Some properties of approximation by positive semi-definite matrices are commented.
Źródło:
Applicationes Mathematicae; 1996-1997, 24, 3; 267-280
1233-7234
Pojawia się w:
Applicationes Mathematicae
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:
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:
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 computation of the minimal polynomial of a polynomial matrix
Autorzy:
Karampetakis, P.
Tzekis, P.
Powiązania:
https://bibliotekanauki.pl/articles/908531.pdf
Data publikacji:
2005
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
wielomian minimalny
dyskretna transformacja Fouriera
macierz wielomianowa
macierzowe równanie liniowe
minimal polynomial
discrete Fourier transform
polynomial matrix
linear matrix equations
Opis:
The main contribution of this work is to provide two algorithms for the computation of the minimal polynomial of univariate polynomial matrices. The first algorithm is based on the solution of linear matrix equations while the second one employs DFT techniques. The whole theory is illustrated with examples.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2005, 15, 3; 339-349
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A method for solving a system of linear equations with a symmetric indefinite coefficient matrix
Autorzy:
Czochralska, Izabela
Powiązania:
https://bibliotekanauki.pl/articles/748583.pdf
Data publikacji:
2006
Wydawca:
Polskie Towarzystwo Matematyczne
Tematy:
Gaussian elimination, triangular and triangular-diagonal factorization of a matrix, numerically stable diagonalization of a symmetric indefinite matrix.
Opis:
The subject of this article is a numerically stable method for solving nonsingular Cramerian systems of linear equations, with a symmetric indefinite coefficient matrix. It consists in adapting the algorithm presented in [1] that can stably and effectively diagonalize any indefinite symmetric matrix. It is in fact some modification of the Gaussian symmetric elimination procedure.
Źródło:
Mathematica Applicanda; 2006, 34, 48/07
1730-2668
2299-4009
Pojawia się w:
Mathematica Applicanda
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Moving cast shadow detection using block nonnegative matrix factorization
Autorzy:
Yang, X.
Liu, D.
Zhou, D.
Yang, R.
Powiązania:
https://bibliotekanauki.pl/articles/200448.pdf
Data publikacji:
2018
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
moving cast shadow detection
video surveillance
nonnegative matrix factorization
block nonnegative matrix factorization
nadzór wideo
nieujemna faktoryzacja macierzy
Opis:
In recent years, moving cast shadow detection has become a critical challenge in improving the accuracy of moving object detection in video surveillance. In this paper, we propose two novel moving cast shadow detection methods based on nonnegative matrix factorization (NMF) and block nonnegative matrix factorization (BNMF). First, the algorithm of moving cast shadow detection using NMF is given and the key points such as the determination of moving shadow areas and the choice of discriminant function are specified. Then BNMF are introduced so that the new training samples and new classes can be added constantly with lower computational complexity. Finally, the improved shadow detection method is detailed described according to BNMF. The effectiveness of proposed methods is evaluated in various scenes. Experimental results demonstrate that the method achieves high detection rate and outperforms several state-of-the-art methods.
Źródło:
Bulletin of the Polish Academy of Sciences. Technical Sciences; 2018, 66, 2; 229-234
0239-7528
Pojawia się w:
Bulletin of the Polish Academy of Sciences. Technical Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Szczególne zalety algorytmu regulacji Dynamix Matrix Control (DMC)
Special advantages of control algorithm Dynamic Matrix Control (DMC)
Autorzy:
Marusak, P.
Pułaczewski, J.
Powiązania:
https://bibliotekanauki.pl/articles/152056.pdf
Data publikacji:
1999
Wydawca:
Stowarzyszenie Inżynierów i Techników Mechaników Polskich
Opis:
Przedstawiono nowe, łatwiejsze do zrozumienia wprowadzanie algorytmu DMC, należącego do grupy algorytmów predykcyjnych wielowarunkowych, oparte na koncepcji pośredniego pomiaru dostrajalnego, pozwalającego uzyskać wymagany kompromis między szybkościa i odpornoscią regulacji. przedstawiono także dwa najważniejsze warianty projektowania algorytmu DMC: - z pomiarem i prognozą głównego zakłócenia oraz - wariant dotyczący regulacji wielowymiarowej. Pokazano również, bardzo ważny dla zastosowań przemysłowych, sposób osiągnięcia odporności algorytmu na ograniczenia wartości sygnałów sterujących.
In the paper a new easier to understand way of deriving DMC algorithm is presented. This algorithm belongs to the group of multiconditional, predictive algorithms. The process of deriving is based on indirect meas-urement of disturbance. The role of tuning parameter is dis-cussed. This parameter allows to achieve required compromise between speed and robustness of control. in the paper, two most important variants of DMC algorithm design are presented: - the first, involving measurement and prediction of the main disturbance and - the second related to multivariable control. The way of important of the algorithm robustness in the case of control signal saturation, so important in industry, is given.
Źródło:
Pomiary Automatyka Kontrola; 1999, R. 45, nr 12, 12; 39-43
0032-4140
Pojawia się w:
Pomiary Automatyka Kontrola
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:
Options to use data matrix codes in production engineering
Autorzy:
Karrach, L.
Pivarčiová, E.
Powiązania:
https://bibliotekanauki.pl/articles/409860.pdf
Data publikacji:
2018
Wydawca:
STE GROUP
Tematy:
adaptive thresholding
Data Matrix
Finder Pattern
Timing Pattern
Opis:
The paper deals with the possibilities of using Data Matrix codes in production engineering. We designed and tested the computationally efficient method for locating the Data Matrix code in the images. The location search procedure consists of identification of candidate regions using image binarization, then joining adjacent points into continuous regions and also examining outer boundaries of the regions. Afterwards we verify the presence of the Finder Pattern (as two perpendicular line segments) and Timing Pattern (as alternating sequence of black and white modules) in these candidate regions. Such procedure is invariant to shift rotation and scale change of Data Matrix codes. The method we have proposed has been verified on a set of real industrial images and compared to other commercial algorithms. We are also convinced that such technique is also suitable for real-time processing and has achieved better results than comparable commercial algorithms.
Źródło:
Management Systems in Production Engineering; 2018, 4 (26); 231-236
2299-0461
Pojawia się w:
Management Systems in Production Engineering
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:
A matrix paraphrase of cyclotomy
Autorzy:
Lehmer, D.
Powiązania:
https://bibliotekanauki.pl/articles/1392287.pdf
Data publikacji:
1990
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Źródło:
Acta Arithmetica; 1989-1990, 53, 4; 357-366
0065-1036
Pojawia się w:
Acta Arithmetica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Jacobian matrix and p-basis
Autorzy:
Niitsuma, Hiroshi
Powiązania:
https://bibliotekanauki.pl/articles/721618.pdf
Data publikacji:
1990
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Źródło:
Banach Center Publications; 1990, 26, 2; 185-188
0137-6934
Pojawia się w:
Banach Center Publications
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:
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:
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:
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:
Solution of the Stieltjes truncated matrix moment problem
Autorzy:
Adamyan, V.M.
Tkachenko, I.M.
Powiązania:
https://bibliotekanauki.pl/articles/255081.pdf
Data publikacji:
2005
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
Stieltjes power moments
canonical solutions
Nevanlinna's formula
matrix
Opis:
The truncated Stieltjes matrix moment problem consisting in the description of all matrix distributions sigma(t) on [0, infin) with given first 2n + 1 power moments (Cj)nj=0 is solved using known results on the corresponding Hamburger problem for which sigma(t) are defined on (-infin, infin). The criterion of solvability of the Stieltjes problem is given and all its solutions in the non-degenerate case are described by selection of the appropriate solutions among those of the Hamburger problem for the same set of moments. The results on extensions of non-negative operators are used and a purely algebraic algorithm for the solution of both Hamburger and Stieltjes problems is proposed.
Źródło:
Opuscula Mathematica; 2005, 25, 1; 5-24
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
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:
Matrix Quadratic Equations, Column/row Reduced Factorizations and an Inertia Theorem for Matrix Polynomials
Autorzy:
Karelin, I.
Lerer, L.
Powiązania:
https://bibliotekanauki.pl/articles/908122.pdf
Data publikacji:
2001
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
macierz
równanie różniczkowe Riccatiego
matrix quadratic equations
Bezoutians
inertia
column (row) reduced polynomials
factorization
algebraic Riccati equation
extremal solutions
Opis:
It is shown that a certain Bezout operator provides a bijective correspondence between the solutions of the matrix quadratic equation and factorizatons of a certain matrix polynomial G(lambda) (which is a specification of a Popov-type function) into a product of row and column reduced polynomials. Special attention is paid to the symmetric case, i.e. to the Algebraic Riccati Equation. In particular, it is shown that extremal solutions of such equations correspond to spectral factorizations of G(lambda). The proof of these results depends heavily on a new inertia theorem for matrix polynomials which is also one of the main results in this paper.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2001, 11, 6; 1285-1310
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
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:
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:
Multiplicative Algorithm for Correntropy-Based Nonnegative Matrix Factorization
Autorzy:
Hosseini-Asl, E.
Zurada, J. M.
Powiązania:
https://bibliotekanauki.pl/articles/108758.pdf
Data publikacji:
2013
Wydawca:
Społeczna Akademia Nauk w Łodzi
Tematy:
Nonnegative Matrix Factorization (NMF)
Correntropy
Multiplicative Algorithm
Document Clustering
Opis:
Nonnegative matrix factorization (NMF) is a popular dimension reduction technique used for clustering by extracting latent features from highdimensional data and is widely used for text mining. Several optimization algorithms have been developed for NMF with different cost functions. In this paper we evaluate the correntropy similarity cost function. Correntropy is a nonlinear localized similarity measure which measures the similarity between two random variables using entropy-based criterion, and is especially robust to outliers. Some algorithms based on gradient descent have been used for correntropy cost function, but their convergence is highly dependent on proper initialization and step size and other parameter selection. The proposed general multiplicative factorization algorithm uses the gradient descent algorithm with adaptive step size to maximize the correntropy similarity between the data matrix and its factorization. After devising the algorithm, its performance has been evaluated for document clustering. Results were compared with constrained gradient descent method using steepest descent and L-BFGS methods. The simulations show that the performance of steepest descent and LBFGS convergence are highly dependent on gradient descent step size which depends on σ parameter of correntropy cost function. However, the multiplicative algorithm is shown to be less sensitive to σ parameterand yields better clustering results than other algorithms. The results demonstrate that clustering performance measured by entropy and purity improve the clustering. The multiplicative correntropy-based algorithm also shows less variation in accuracy of document clusters for variable number of clusters. The convergence of each algorithm is also investigated, and the experiments have shown that the multiplicative algorithm converges faster than L-BFGS and steepest descent method.
Źródło:
Journal of Applied Computer Science Methods; 2013, 5 No. 2; 89-104
1689-9636
Pojawia się w:
Journal of Applied Computer Science Methods
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:
Norm estimates for solutions of matrix equations AX-XB=C and X-AXB=C
Autorzy:
Gil', Michael
Powiązania:
https://bibliotekanauki.pl/articles/729497.pdf
Data publikacji:
2014
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
matrix equations
norm estimates
perturbations
invariant subspaces
Opis:
Let A, B and C be matrices. We consider the matrix equations Y-AYB=C and AX-XB=C. Sharp norm estimates for solutions of these equations are derived. By these estimates a bound for the distance between invariant subspaces of matrices is obtained.
Źródło:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2014, 34, 2; 191-206
1509-9407
Pojawia się w:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Projective nonnegative matrix factorization based on α-divergence
Autorzy:
Yang, Z.
Oja, E.
Powiązania:
https://bibliotekanauki.pl/articles/91672.pdf
Data publikacji:
2011
Wydawca:
Społeczna Akademia Nauk w Łodzi. Polskie Towarzystwo Sieci Neuronowych
Tematy:
Nonnegative Matrix Factorization
NMF
α-divergence
PNMF
α-NMF
α-PNMF
Opis:
The well-known Nonnegative Matrix Factorization (NMF) method can be provided with more flexibility by generalizing the non-normalized Kullback-Leibler divergence to α- divergences. However, the resulting α-NMF method can only achieve mediocre sparsity for the factorizing matrices. We have earlier proposed a variant of NMF, called Projective NMF (PNMF) that has been shown to have superior sparsity over standard NMF. Here we propose to incorporate both merits of α-NMF and PNMF. Our α-PNMF method can produce a much sparser factorizing matrix, which is desired in many scenarios. Theoretically, we provide a rigorous convergence proof that the iterative updates of α-PNMF monotonically decrease the α-divergence between the input matrix and its approximate. Empirically, the advantages of α-PNMF are verified in two application scenarios: (1) it is able to learn highly sparse and localized part-based representations of facial images; (2) it outperforms α-NMF and PNMF for clustering in terms of higher purity and smaller entropy.
Źródło:
Journal of Artificial Intelligence and Soft Computing Research; 2011, 1, 1; 7-16
2083-2567
2449-6499
Pojawia się w:
Journal of Artificial Intelligence and Soft Computing Research
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:
Linear Matrix Inequalities in multivariable ship’s steering
Autorzy:
Rybczak, M.
Powiązania:
https://bibliotekanauki.pl/articles/259077.pdf
Data publikacji:
2012
Wydawca:
Politechnika Gdańska. Wydział Inżynierii Mechanicznej i Okrętownictwa
Tematy:
linear matrix inequality
use of LMI
synthesis of regulators
multivariable system
ship's control
Opis:
This paper explains the basics of the Linear Matrix Inequalities (LMI), with examples of simulations and calculations created in Matlab/Simulink programming environment where the controlled plant is the “Blue Lady” ship model. First chapter of this paper gives a short overview of publications describing the use of Linear Matrix Inequalities method. Second chapter contains basic definitions and equations for the LMI method. Chapter three presents the use of LMI method for ship control by describing controller synthesis for the “Blue Lady”. Chapter four compares the operation of two controllers, the first one consisting of three independent proper adjusted PID controllers and the second one being a multivariable LMI controller. Finally conclusions from the above comparison are drawn.
Źródło:
Polish Maritime Research; 2012, S 1; 37-44
1233-2585
Pojawia się w:
Polish Maritime Research
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The effects of matrix module structure on shipyard panel line’s throughput
Autorzy:
Ozkok, M.
Powiązania:
https://bibliotekanauki.pl/articles/259148.pdf
Data publikacji:
2012
Wydawca:
Politechnika Gdańska. Wydział Inżynierii Mechanicznej i Okrętownictwa
Tematy:
shipyard
ship production
panel line
matrix module assembly
simulation
Opis:
Over the last decades a really tough competitive environment has been observed in shipbuilding sector. Under these circumstances shipyards desire to reduce product cycle time in order to manufacture the product as soon as possible. For this reason it is required to make some alterations in shipyard production system in order to reduce cycle time. In this study a panel fabrication line used in a shipyard, has been considered. The workstations of the panel line have been modeled by using ARENA simulation software and the effects of matrix module assembly on panel line throughput, have been determined.
Źródło:
Polish Maritime Research; 2012, 3; 65-71
1233-2585
Pojawia się w:
Polish Maritime Research
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Silver Matrix Composites - Structure and Properties
Autorzy:
Wieczorek, J.
Oleksiak, B.
Łabaj, J.
Węcki, B.
Mańka, M.
Powiązania:
https://bibliotekanauki.pl/articles/351539.pdf
Data publikacji:
2016
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
silver matrix composites
tribological properties
mechanical properties
Opis:
Phase compositions of composite materials determine their performance as well as physical and mechanical properties. Depending on the type of applied matrix and the kind, amount and morphology of the matrix reinforcement, it is possible to shape the material properties so that they meet specific operational requirements. In the paper, results of investigations on silver alloy matrix composites reinforced with ceramic particles are presented. The investigations enabled evaluation of hardness, tribological and mechanical properties as well as the structure of produced materials. The matrix of composite material was an alloy of silver and aluminium, magnesium and silicon. As the reinforcing phase, 20-60 μm ceramic particles (SiC, SiO2, Al2O3 and Cs) were applied. The volume fraction of the reinforcing phase in the composites was 10%. The composites were produced using the liquid phase (casting) technology, followed by plastic work (the KOBO method). The mechanical and tribological properties were analysed for plastic work-subjected composites. The mechanical properties were assessed based on a static tensile and hardness tests. The tribological properties were investigated under dry sliding conditions. The analysis of results led to determination of effects of the composite production technology on their performance. Moreover, a relationship between the type of reinforcing phase and the mechanical and tribological properties was established.
Źródło:
Archives of Metallurgy and Materials; 2016, 61, 1; 323-328
1733-3490
Pojawia się w:
Archives of Metallurgy and Materials
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:
Aluminum Metal Matrix Composites with SiC, Al2O3 and Graphene – Review
Autorzy:
Aybarc, U.
Dispinar, D.
Seydibeyoglu, M. O.
Powiązania:
https://bibliotekanauki.pl/articles/380332.pdf
Data publikacji:
2018
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
SiC
Al2O3
graphene
aluminum metal matrix composite
metal matrix composite
grafen
kompozyt osnowy metalowej
kompozyt metalowy
Opis:
Light weight, low density with high mechanical properties and corrosion resistance, aluminum is the most important material and is commonly used for high performance applications such as aerospace, military and especially automotive industries. The researchers who participate in these industries are working hard to further decrease the weight of end products according to legal boundaries of greenhouse gases. A lot of research was undertaken to produce thin sectioned aluminum parts with improved mechanical properties. Several alloying element addition were investigated. Yet, nowadays aluminum has not met these expectations. Thus, composite materials, particularly metal matrix composites, have taken aluminum’s place due to the enhancement of mechanical properties of aluminum alloys by reinforcements. This paper deals with the overview of the reinforcements such as SiC, Al2O3 and graphene. Graphene has recently attracted many researcher due to its superior elastic modulus, high fatigue strength and low density. It is foreseen and predicted that graphene will replace and outperform carbon nanotubes (CNT) in near future.
Źródło:
Archives of Foundry Engineering; 2018, 18, 2; 5-10
1897-3310
2299-2944
Pojawia się w:
Archives of Foundry Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Generalized reasoning about faults based on the diagnostic matrix
Autorzy:
Bartyś, M.
Powiązania:
https://bibliotekanauki.pl/articles/330190.pdf
Data publikacji:
2013
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
fault isolation
binary diagnostic matrix
fault information system
alternative fault signature
dominant fault signature
matrix of alternative fault signatures
fuzzy diagnosis
lokalizacja uszkodzeń
binarna macierz diagnostyczna
sygnatura alternatywna
Opis:
This paper introduces a set of comprehensive general reasoning rules about single faults based on a diagnostic matrix. The reasoning scheme unifies inference about faults based on a conventional binary diagnostic matrix, a two- and three-valued fault isolation system as well as on their fuzzy counterparts. There are introduced and defined notions of alternative and dominant fault signatures, fuzzy fault signatures as well as a matrix of alternative signatures. This matrix is supposed to be used instead of the classic diagnostic one. It is also shown that dominant fault signatures are transformable into alternative ones. Finally, three variants of concise general reasoning rules of faults are given. Three examples illustrate key point issues of the paper. The first example refers to a medical diagnostic case. It shows an instance of dominant fault signatures and, in fact, proposes a rational approach for planning diagnostic tests. The other examples describe the fuzzy reasoning approach employing a matrix of fuzzy alternative signatures applicable for use with multi-valued fuzzy diagnostic signals. Future works are outlined in the summary section.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2013, 23, 2; 407-417
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Relationships between the permanents of a certain type of k-tridiagonal symmetric Toeplitz matrix and the Chebyshev polynomials
Autorzy:
Kucuk, A. Z.
Duz, M.
Powiązania:
https://bibliotekanauki.pl/articles/122660.pdf
Data publikacji:
2017
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
permanent
Toeplitz matrix
k-tridiagonal matrix
Chebyshev polynomials
recurrence relation
macierz Toeplitza
wielomiany Chebyszewa
relacje rekurencyjne
Opis:
In this study, the recursive relations between the permanents of a certain type of the k-tridiagonal symmetric Toeplitz matrix with complex entries and the Chebyshev polynomials of the second kind are presented.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2017, 16, 1; 75-86
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Tame triangular matrix algebras
Autorzy:
Leszczyński, Zbigniew
Skowroński, Andrzej
Powiązania:
https://bibliotekanauki.pl/articles/965836.pdf
Data publikacji:
2000
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Opis:
We describe all finite-dimensional algebras A over an algebraically closed field for which the algebra $T_2(A)$ of 2×2 upper triangular matrices over A is of tame representation type. Moreover, the algebras A for which $T_2(A)$ is of polynomial growth (respectively, domestic, of finite representation type) are also characterized.
Źródło:
Colloquium Mathematicum; 2000, 86, 2; 259-303
0010-1354
Pojawia się w:
Colloquium Mathematicum
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On matrix rapid filters
Autorzy:
Just, Winfried
Vojtáš, Peter
Powiązania:
https://bibliotekanauki.pl/articles/1205418.pdf
Data publikacji:
1997
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Opis:
Galois-Tukey equivalence between matrix summability and absolute convergence of series is shown and an alternative characterization of rapid ultrafilters on ω is derived.
Źródło:
Fundamenta Mathematicae; 1997, 154, 2; 177-182
0016-2736
Pojawia się w:
Fundamenta Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Every reasonably sized matrix group is a subgroup of $S_∞$
Autorzy:
Kallman, Robert
Powiązania:
https://bibliotekanauki.pl/articles/1205071.pdf
Data publikacji:
2000
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
infinite symmetric group
matrix groups
nonarchimedian absolute values
field extensions
topological groups
Opis:
Every reasonably sized matrix group has an injective homomorphism into the group $S_∞$ of all bijections of the natural numbers. However, not every reasonably sized simple group has an injective homomorphism into $S_∞$.
Źródło:
Fundamenta Mathematicae; 2000, 164, 1; 35-40
0016-2736
Pojawia się w:
Fundamenta Mathematicae
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:
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 system of linear recurrence equations for determinant of pentadiagonal matrix
Autorzy:
Borowska, J.
Łacińska, L.
Rychlewska, J.
Powiązania:
https://bibliotekanauki.pl/articles/122846.pdf
Data publikacji:
2014
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
pentadiagonal matrix
determinant
linear recurrence equations
determinanta
Opis:
In this paper we present an application of the system of two homogeneous linear recurrence equations to evaluate the determinant of pentadiagonal matrix. The general considerations are illustrated by two examples. It is shown that the proposed approach is suited for implementation using computer algebra systems.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2014, 13, 2; 5-12
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł

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