Search results
- 1.0405034 - UIVT-O 330134 RIV US eng J - Journal Article
Liesen, J. - Strakoš, Zdeněk
GMRES Convergence Analysis for a Convection-Diffusion Model Problem.
[Analýza GMRES konvergence pro modelový problém konvekce s difuzí.]
SIAM Journal on Scientific Computing. Roč. 26, - (2005), s. 1989-2009. ISSN 1064-8275. E-ISSN 1095-7197
R&D Projects: GA ČR GA201/02/0595
Institutional research plan: CEZ:AV0Z10300504
Keywords : convection-diffusion problem * SUPG discretization * GMRES * rate of convergence * ill conditioned eigenvectors * nonnormality * tridiagonal Toeplitz matrices
Subject RIV: BA - General Mathematics
Impact factor: 1.509, year: 2005
Permanent Link: http://hdl.handle.net/11104/0125254 - 2.0404926 - UIVT-O 330025 RIV US eng J - Journal Article
Strakoš, Zdeněk - Tichý, Petr
On Estimation of the A-norm of the Error in CG and PCG.
[O odhadech A-normy chyby v CG a PCG.]
Proceedings in Applied Mathematics and Mechanics. Roč. 3, - (2003), s. 553-554. ISSN 1617-7061.
[GAMM. Padua, 24.03.2003-28.03.2003]
R&D Projects: GA ČR GA201/02/0595
Institutional research plan: CEZ:AV0Z1030915
Keywords : preconditioned conjugate gradient * error estimates * stopping criteria
Subject RIV: BA - General Mathematics
Permanent Link: http://hdl.handle.net/11104/0125146 - 3.0404915 - UIVT-O 330014 RIV US eng J - Journal Article
Liesen, J. - Strakoš, Zdeněk
Slow Initial Convergence of GMRES for SUPG Discretized Convection Diffusion Problems.
[Pomalá počáteční konvergence GMRES pro SUPG diskretizovaný problém konvekce s difuzí.]
Proceedings in Applied Mathematics and Mechanics. Roč. 3, - (2003), s. 551-552. ISSN 1617-7061.
[GAMM. Padua, 24.03.2003-28.03.2003]
R&D Projects: GA ČR GA201/02/0595
Institutional research plan: CEZ:AV0Z1030915
Keywords : convergence of GMRES * SUPG discretization * convective-diffusive problems
Subject RIV: BA - General Mathematics
Permanent Link: http://hdl.handle.net/11104/0125137 - 4.0404211 - UIVT-O 20020143 RIV US eng J - Journal Article
Strakoš, Zdeněk - Tichý, Petr
On Error Estimation in the Conjugate Gradient Method and why it Works in Finite Precision Computations.
Electronic Transactions on Numerical Analysis. Roč. 13, - (2002), s. 56-80. ISSN 1068-9613. E-ISSN 1068-9613
R&D Projects: GA ČR GA201/02/0595
Institutional research plan: AV0Z1030915
Keywords : conjugate gradient method * Gauss kvadrature * evaluation of convergence * error bounds * finite precision arithmetic * rounding errors * loss of orthogonality
Subject RIV: BA - General Mathematics
Impact factor: 0.565, year: 2002
http://etna.mcs.kent.edu/volumes/2001-2010/vol13/abstract.php?vol=13&pages=56-80
Permanent Link: http://hdl.handle.net/11104/0124477File Download Size Commentary Version Access 0404211.pdf 0 815.3 KB Author´s preprint open-access - 5.0103272 - UIVT-O 20040013 RIV US eng J - Journal Article
Liesen, J. - Strakoš, Zdeněk
Convergence of GMRES for Tridiagonal Toeplitz Matrices.
[Konvergence metody GMRES pro třídiagonální Toeplitzovské matice.]
SIAM Journal on Matrix Analysis and Applications. Roč. 26, č. 1 (2004), s. 233-251. ISSN 0895-4798. E-ISSN 1095-7162
R&D Projects: GA ČR GA201/02/0595
Institutional research plan: CEZ:AV0Z1030915
Keywords : Krylov subspace methods * GMRES * minimal residual methods * convergence analysis * Jordan blocks * Toeplitz matrices
Subject RIV: BA - General Mathematics
Impact factor: 0.727, year: 2004
Permanent Link: http://hdl.handle.net/11104/0010584 - 6.0092642 - ÚI 2008 RIV GB eng J - Journal Article
Cullum, J. K. - Johnson, K. - Tůma, Miroslav
Effects of Problem Decomposition (Partitioning) on the Rate of Convergence of Parallel Numerical Algorithms.
[Vliv způsobu dekompozice problému na rychlost konvergence paralelních numerických algoritmů.]
Numerical Linear Algebra with Applications. Roč. 10, - (2003), s. 445-465. ISSN 1070-5325. E-ISSN 1099-1506
R&D Projects: GA ČR GA201/02/0595; GA AV ČR IAA1030103
Institutional research plan: CEZ:AV0Z1030915
Keywords : parallel algorithms * graph partitioning * problem decomposition * rate of convergence
Subject RIV: BA - General Mathematics
Impact factor: 1.042, year: 2003
Permanent Link: http://hdl.handle.net/11104/0152907File Download Size Commentary Version Access 0092642.pdf 0 917.9 KB Author´s preprint open-access