Zobrazeno 1 - 10
of 20
pro vyhledávání: '"L. A. Krukier"'
Autor:
T. S. Martynova, L. A. Krukier
Publikováno v:
Numerical Analysis and Applications. 9:207-217
A class of preconditioners for solving non-Hermitian positive definite systems of linear algebraic equations is proposed and investigated. It is based on Hermitian and skew-Hermitian splitting of the initial matrix. A generalization for saddle point
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::aafb0f7817d07e41bddf279bdc9162cf
https://doi.org/10.1134/s1995423916030034
https://doi.org/10.1134/s1995423916030034
Publikováno v:
Numerical Analysis and Applications. 9:57-65
An iterative product-type triangular skew-symmetric method (PTSM) is used to solve systems of linear algebraic equations (SLAEs) obtained by approximation with a central-difference scheme of a first-type boundary value problem for convection–diffus
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f06aa55006e572d0d4c92d0c0d4bf938
https://doi.org/10.1134/s1995423916010067
https://doi.org/10.1134/s1995423916010067
Autor:
L. A. Krukier, T. S. Martynova
Publikováno v:
Mathematical Models and Computer Simulations. 7:331-338
An algorithm that is a modification of Hermitian and skew-Hermitian splitting is considered to be used to solve a large system of linear algebraic equations with a saddle point. The method is applied to solve constrained optimization problems. The nu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f19715eb81ec5f6af4ea21714de80a11
https://doi.org/10.1134/s2070048215040055
https://doi.org/10.1134/s2070048215040055
Using the Skew-Symmetric Iterative Methods for Solution of an Indefinite Nonsymmetric Linear Systems
Autor:
B. L. Krukier, L. A. Krukier
Publikováno v:
Journal of Computational Mathematics. 32:266-271
The concept of the field of value to localize the spectrum of the iteration matrices of the skew-symmetric iterative methods is further exploited. Obtained formulas are derived to relate the fields of values of the original matrix and the iteration m
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::332868f5d9c3311019a56b649edea125
https://doi.org/10.4208/jcm.1403-cr2
https://doi.org/10.4208/jcm.1403-cr2
Autor:
L. A. Krukier, S. A. Vinogradova
Publikováno v:
Mathematical Models and Computer Simulations. 5:190-197
The three-dimensional stationary convection-diffusion problem with mixed derivatives, describing the convection-diffusion processes in an anisotropic medium, is considered. The solution of this problem in an anisotropic medium is of significant inter
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f63ce9114c1c6f309326aa122a376453
https://doi.org/10.1134/s2070048213020099
https://doi.org/10.1134/s2070048213020099
Publikováno v:
Numerical Linear Algebra with Applications. 21:152-170
SUMMARY A generalized skew-Hermitian triangular splitting iteration method is presented for solving non-Hermitian linear systems with strong skew-Hermitian parts. We study the convergence of the generalized skew-Hermitian triangular splitting iterati
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::270daa2394779df8b653a590a6158706
https://doi.org/10.1002/nla.1870
https://doi.org/10.1002/nla.1870
Publikováno v:
ICCS
Steady convection-diffusion equation in 2-D domain is considered. Central finite-difference approximation has been taken to obtain a large sparse nonsymmetric linear system with positive real matrix. New class of product triangular skew-symmetric ite
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ed55c1364a073037c093ad68ac56561c
Publikováno v:
Mathematical Models and Computer Simulations. 3:346-356
An efficient algorithm for implementing the mathematical model of convection-diffusion transport with a dominant convection is proposed. Preconditioned Krylov subspace methods are used to solve strongly nonsymmetric systems of linear algebraic equati
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0bdba1a66801d7cb460388010b23221b
https://doi.org/10.1134/s2070048211030069
https://doi.org/10.1134/s2070048211030069
Autor:
B. L. Krukier, L. A. Krukier
Publikováno v:
Russian Mathematics. 55:64-67
We propose a new technique for studying the convergence of triangular skew-symmetric and product triangular skew-symmetric iterative methods (introduced earlier by the first author) based on the notion of a field of values of a matrix. We obtain form
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9cb9b02d14f46a4481de84d8eecbca92
https://doi.org/10.3103/s1066369x11060090
https://doi.org/10.3103/s1066369x11060090
Publikováno v:
Journal of Computational and Applied Mathematics. 232:3-16
By further generalizing the modified skew-Hermitian triangular splitting iteration methods studied in [L. Wang, Z.-Z. Bai, Skew-Hermitian triangular splitting iteration methods for non-Hermitian positive definite linear systems of strong skew-Hermiti
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8f1b776343ed211f95dd0a0693cadfe7
https://doi.org/10.1016/j.cam.2008.10.033
https://doi.org/10.1016/j.cam.2008.10.033