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Wyświetlanie 1-10 z 1199
Tytuł:
Intervals of certain classes of Z-matrices
Autorzy:
Kannan, M.
Sivakumar, K.
Powiązania:
https://bibliotekanauki.pl/articles/729209.pdf
Data publikacji:
2014
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
interval matrix
M-matrix
N-matrix
N₀-matrix
nonnegativity
Opis:
Let A and B be M-matrices satisfying A ≤ B and J = [A,B] be the set of all matrices C such that A ≤ C ≤ B, where the order is component wise. It is rather well known that if A is an M-matrix and B is an invertible M-matrix and A ≤ B, then aA + bB is an invertible M-matrix for all a,b > 0. In this article, we present an elementary proof of a stronger version of this result and study corresponding results for certain other classes as well.
Źródło:
Discussiones Mathematicae - General Algebra and Applications; 2014, 34, 1; 85-93
1509-9415
Pojawia się w:
Discussiones Mathematicae - General Algebra and Applications
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
An algorithm for checking Hurwitz stability of K-symmetrizable interval matrices
Autorzy:
Kowynia, J.
Powiązania:
https://bibliotekanauki.pl/articles/970091.pdf
Data publikacji:
2005
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
symmetrizable matrix
interval matrix
positive definite matrix
Opis:
The necessary and sufficient condition for stability of K-symmetrizable interval matrix is given. An algorithm for checking stability of K-symmetrizable interval matrix is proposed.
Źródło:
Control and Cybernetics; 2005, 34, 2; 477-486
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On the matrix form of Kronecker lemma
Autorzy:
da Silva, João
Oliveira, António
Powiązania:
https://bibliotekanauki.pl/articles/729968.pdf
Data publikacji:
2009
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
matrix Kronecker lemma
matrix analysis
convergence
Opis:
A matrix generalization of Kronecker's lemma is presented with assumptions that make it possible not only the unboundedness of the condition number considered by Anderson and Moore (1976) but also other sequences of real matrices, not necessarily monotone increasing, symmetric and nonnegative definite. A useful matrix decomposition and a well-known equivalent result about convergent series are used in this generalization.
Źródło:
Discussiones Mathematicae Probability and Statistics; 2009, 29, 2; 233-243
1509-9423
Pojawia się w:
Discussiones Mathematicae Probability and Statistics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Inflammatory bowel disease: the function of metalloproteinases
Autorzy:
Pasternak, Grzegorz
Aebisher, David
Filip, Rafał
Bartusik-Aebisher, Dorota
Powiązania:
https://bibliotekanauki.pl/articles/454718.pdf
Data publikacji:
2018
Wydawca:
Uniwersytet Rzeszowski. Wydawnictwo Uniwersytetu Rzeszowskiego
Tematy:
inflammatory bowel disease
matrix metalloproteinases extracellular matrix
Opis:
Introduction. Inflammatory bowel disease (IBD) is a group of inflammatory conditions of the colon and small intestine. Aim. The aim of this work was to review the current literature regarding matrix metalloproteinases. The databases such as PubMed, ScienceDirect and Springer were utilized to search the literature for relevant articles. Materials and methods. An analysis of literature. We collected information, data, and examples of the function of metalloproteinases. Results. Herein we show that metalloproteinases play a role in such processes as the immune response, angiogenesis, the epithelial barrier function, fibrosis induced by the inflammatory process, and in the process of carcinogenesis. Conclusions. Further studies on the role of metalloproteinases in the process of carcinogenesis associated with inflammatory bowel diseases are required.
Źródło:
European Journal of Clinical and Experimental Medicine; 2018, 4; 346-349
2544-2406
2544-1361
Pojawia się w:
European Journal of Clinical and Experimental Medicine
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Asymptotic behaviour and approximation of eigenvalues for unbounded block Jacobi matrices
Autorzy:
Malejki, M.
Powiązania:
https://bibliotekanauki.pl/articles/255505.pdf
Data publikacji:
2010
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
symmetric unbounded Jacobi matrix
block Jacobi matrix
tridiagonal matrix
point spectrum
eigenvalue
asymptotics
Opis:
The research included in the paper concerns a class of symmetric block Jacobi matrices. The problem of the approximation of eigenvalues for a class of a self-adjoint unbounded operators is considered. We estimate the joint error of approximation for the eigenvalues, numbered from 1 to N, for a Jacobi matrix J by the eigenvalues of the finite submatrix J(n) of order pn x pn, where N = max{k ∈ N : k ≤ rpn} and r ∈ (0, 1) is suitably chosen. We apply this result to obtain the asymptotics of the eigenvalues of J in the case p = 3.
Źródło:
Opuscula Mathematica; 2010, 30, 3; 311-330
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Matrix metalloproteinase-2 (MMP-2), MMP-9, tissue inhibitor of matrix metalloproteinases (TIMP-1) and transforming growth factor-beta2 (TGF-beta2) expression in eutopic endometrium of women with peritoneal endometriosis
Autorzy:
Szymanowski, Krzysztof
Mikołajczyk, Mateusz
Wirstlein, Przemysław
Dera-Szymanowska, Anna
Powiązania:
https://bibliotekanauki.pl/articles/987106.pdf
Data publikacji:
2016
Wydawca:
Instytut Medycyny Wsi
Tematy:
endometriosis
matrix metalloproteinases
tissue inhibitor of matrix metalloproteinases
Opis:
Introduction. The prevalence of endometriosis among reproductive age women is 7–17%; however, these figures reach 20–50% in patients suffering from infertility. Matrix metalloproteinases (MMPs) activity is thought to be particularly essential in the early phases of endometriosis development. Any changes in the equilibrium between MMPs activity and their tissue inhibitors (TIMPs) could be potentially harmful, promoting endometriosis development. The aim of this study was to investigate whether the MMP-2, MMP-9, TIMP-1 or TGF-B2 expression in eutopic endometrium from women with early endometriosis differ when compared with healthy subjects. The results were referred to the serum progesterone levels. Materials and method. Endometrial biopsy was taken from 42 patients (18 in the study group, 22 in thecontrol group) at the time of hysteroscopy for routine histology and for RT-PCR procedures. Comparison of the quantity of gene products was performed with a programme for densitometry and compared to GADPH product, which was a reference value. Results. The obtained results did not reveal any statistical difference in endometrial expression of MMP-2, MMp-9, TIMP-1, and TGF-β2 or serum progesterone level between women with endometriosis and without visible signs of this illness. Conclusion. Despite the lack of statistical differences, it was observed that both examined metalloproteinases expressed a tendency to higher gene expression in the eutopic endometrium of women with endometriosis. However, both TIMP-1 and TGF-β2 expressions had the same tendency – higher values in endometriosis patients.
Źródło:
Annals of Agricultural and Environmental Medicine; 2016, 23, 4
1232-1966
Pojawia się w:
Annals of Agricultural and Environmental Medicine
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
An analytical study on the elastic-plastic behavior of metal matrix composites under tensile loading
Autorzy:
Khosoussi, S.
Mondali, M.
Abedian, A.
Powiązania:
https://bibliotekanauki.pl/articles/281901.pdf
Data publikacji:
2014
Wydawca:
Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:
metal matrix composites
plasticity in matrix
shear lag
Opis:
An analytical approach is proposed for studying the elastic-plastic behavior of short fiber reinforced metal matrix composites under tensile loading. In the proposed research, a micro- mechanical approach is employed considering an axi-symmetric unit cell including one fiber and the surrounding matrix. First, the governing equations and the boundary conditions are derived and the elastic solution is obtained based on some shear lag type methods. Since under normal loading conditions and according to the fiber material characteristics the me- tal matrix undergoes plastic deformation, while the fiber remains within the elastic region, a plastic deformation is obtained for the matrix under each small tensile loading step. Then, the elastic-plastic stress transfer behavior of the composite is studied considering this plastic deformation. The results are finally compared with the numerical results obtained from the FE analysis of the considered micromechanical model.
Źródło:
Journal of Theoretical and Applied Mechanics; 2014, 52, 2; 323-334
1429-2955
Pojawia się w:
Journal of Theoretical and Applied Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Boolean matrices ... neither Boolean nor matrices
Autorzy:
Ricci, Gabriele
Powiązania:
https://bibliotekanauki.pl/articles/728832.pdf
Data publikacji:
2000
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
universal matrix
functional application
generalized matrix
analytic monoid
Opis:
Boolean matrices, the incidence matrices of a graph, are known not to be the (universal) matrices of a Boolean algebra. Here, we also show that their usual composition cannot make them the matrices of any algebra. Yet, later on, we "show" that it can. This seeming paradox comes from the hidden intrusion of a widespread set-theoretical (mis) definition and notation and denies its harmlessness. A minor modification of this standard definition might fix it.
Źródło:
Discussiones Mathematicae - General Algebra and Applications; 2000, 20, 1; 141-151
1509-9415
Pojawia się w:
Discussiones Mathematicae - General Algebra and Applications
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The Drazin inverse of a class of partitioned matrices
Autorzy:
Kanan, Asmaa M.
Powiązania:
https://bibliotekanauki.pl/articles/1030682.pdf
Data publikacji:
2020
Wydawca:
Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
Tematy:
Drazin inverse
Partitioned matrix
Rank
Trace of matrix
Opis:
In this work, we give the representations of the Drazin inverse for the partitioned matrix [■(A_1&A_2@O&A_3 )] with A_1 and A_3 square and singular under the conditions that rank(A_1 )=rank(A_3 )=1, Trace(A_1)≠0 and Trace(A_3)≠0, and then we give the representations of the Drazin inverse for the partitioned EP matrix [■(A_1&A_2@A_3&A_4 )] with A_1 is square and non-singular under the conditions that rank(A_1 )=rank([■(A_1&A_2@A_3&A_4 )]), and [■(A_1&A_2@A_3&A_4 )]=[■(I@P)] A_1 [■(I&Q)] where P=A_3 〖A_1〗^(-1) and Q= 〖A_1〗^(-1) A_2. Also, we give the representations of the Drazin inverse for the partitioned matrix [■(A_1&A_2@A_3&A_4 )] with A_1 square and singular under the conditions that rank(A_1 )=rank([■(A_1&A_2@A_3&A_4 )])=1, Trace([■(A_1&A_2@A_3&A_4 )])≠0.
Źródło:
World Scientific News; 2020, 139, 2; 173-185
2392-2192
Pojawia się w:
World Scientific News
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Basic properties of the full matrices
Podstawowe własności macierzy pełnych
Autorzy:
Wituła, R.
Gawrońska, N.
Słota, D.
Powiązania:
https://bibliotekanauki.pl/articles/87341.pdf
Data publikacji:
2011
Wydawca:
Politechnika Śląska. Wydawnictwo Politechniki Śląskiej
Tematy:
macierz pełna
macierz kwadratowa
full matrix
square matrix
Opis:
In this paper the, so called, full matrices are distinguished. A number of basic properties of such matrices are also presented. Moreover, few possible directions for further research are indicated.
W artykule wyróżniono tzw. macierze pełne. Przedstawiono wiele podstawowych własności tych macierzy. Wskazano też kilka możliwych kierunków badań.
Źródło:
Zeszyty Naukowe. Matematyka Stosowana / Politechnika Śląska; 2011, 1; 69-80
2084-073X
Pojawia się w:
Zeszyty Naukowe. Matematyka Stosowana / Politechnika Śląska
Dostawca treści:
Biblioteka Nauki
Artykuł
Wyświetlanie 1-10 z 1199

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