Search results
- 1.0500540 - ÚI 2019 RIV US eng J - Journal Article
Echeverría, C. - Liesen, J. - Szyld, D.B. - Tichý, Petr
Convergence of the multiplicative Schwarz method for singularly perturbed convection-diffusion problems discretized on a Shishkin mesh.
Electronic Transactions on Numerical Analysis. Roč. 48, February 22 (2018), s. 40-62. ISSN 1068-9613. E-ISSN 1068-9613
Institutional support: RVO:67985807
Keywords : Convergence analysis * Iterative methods * Multiplicative Schwarz method * Shishkin mesh discretization * Singularly perturbed problems
OECD category: Applied mathematics
Impact factor: 1.475, year: 2018
Permanent Link: http://hdl.handle.net/11104/0292636 - 2.0435950 - ÚI 2015 RIV US eng J - Journal Article
Liesen, J. - Tichý, Petr
Max-min and min-max Approximation Problems for Normal Matrices Revisited.
Electronic Transactions on Numerical Analysis. Roč. 41, 4 July (2014), s. 159-166. ISSN 1068-9613. E-ISSN 1068-9613
R&D Projects: GA ČR GA13-06684S
Grant - others:GA AV ČR(CZ) M100301201
Institutional support: RVO:67985807
Keywords : matrix approximation problems * min-max and max-min approximation problems * best approximation * normal matrices
Subject RIV: BA - General Mathematics
Impact factor: 0.759, year: 2014
http://etna.mcs.kent.edu/volumes/2011-2020/vol41/abstract.php?vol=41&pages=159-166
Permanent Link: http://hdl.handle.net/11104/0239752 - 3.0428023 - ÚI 2015 RIV US eng J - Journal Article
Papež, Jan - Liesen, J. - Strakoš, Z.
Distribution of the Discretization and Algebraic Error in Numerical Solution of Partial Differential Equations.
Linear Algebra and Its Applications. Roč. 449, 15 May (2014), s. 89-114. ISSN 0024-3795. E-ISSN 1873-1856
R&D Projects: GA AV ČR IAA100300802; GA ČR GA201/09/0917
Grant - others:GA MŠk(CZ) LL1202; GA UK(CZ) 695612
Institutional support: RVO:67985807
Keywords : numerical solution of partial differential equations * finite element method * adaptivity * a posteriori error analysis * discretization error * algebraic error * spatial distribution of the error
Subject RIV: BA - General Mathematics
Impact factor: 0.939, year: 2014
Permanent Link: http://hdl.handle.net/11104/0233442 - 4.0421797 - ÚI 2014 RIV US eng J - Journal Article
Faber, V. - Liesen, J. - Tichý, Petr
Properties of Worst-Case GMRES.
SIAM Journal on Matrix Analysis and Applications. Roč. 34, č. 4 (2013), s. 1500-1519. ISSN 0895-4798. E-ISSN 1095-7162
R&D Projects: GA ČR GA13-06684S
Grant - others:GA AV ČR(CZ) M10041090
Institutional support: RVO:67985807
Keywords : GMRES method * worst-case convergence * ideal GMRES * matrix approximation problems * minmax
Subject RIV: BA - General Mathematics
Impact factor: 1.806, year: 2013
Permanent Link: http://hdl.handle.net/11104/0228050File Download Size Commentary Version Access 0421797.pdf 0 768.9 KB Author´s preprint open-access - 5.0405244 - UIVT-O 330441 RIV DE eng J - Journal Article
Strakoš, Zdeněk - Liesen, J.
On Numerical Stability in Large Scale Linear Algebraic Computations.
[O numerické stabilitě v rozsáhlých algebraických výpočtech.]
ZAMM-Zeitschrift fur Angewandte Mathematik und Mechanik. Roč. 85, č. 5 (2005), s. 307-325. ISSN 0044-2267. E-ISSN 1521-4001
R&D Projects: GA AV ČR 1ET400300415
Institutional research plan: CEZ:AV0Z10300504
Keywords : linear algebraic systems * eigenvalue problems * convergence * numerical stability * backward error * accuracy * Lanczos method * conjugate gradient method * GMRES method
Subject RIV: BA - General Mathematics
Impact factor: 0.351, year: 2005
Permanent Link: http://hdl.handle.net/11104/0125429 - 6.0405034 - 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 - 7.0404915 - 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 - 8.0346245 - ÚI 2011 RIV US eng J - Journal Article
Faber, V. - Liesen, J. - Tichý, Petr
On Chebyshev Polynomials of Matrices.
SIAM Journal on Matrix Analysis and Applications. Roč. 31, č. 4 (2010), s. 2205-2221. ISSN 0895-4798. E-ISSN 1095-7162
R&D Projects: GA AV ČR IAA100300802
Grant - others:GA AV ČR(CZ) M100300901
Institutional research plan: CEZ:AV0Z10300504
Source of funding: I
Keywords : matrix approximation problems * Chebyshev polynomials * complex approximation theory * Krylov subspace methods * Arnoldi's method
Subject RIV: BA - General Mathematics
Impact factor: 1.725, year: 2010
Permanent Link: http://hdl.handle.net/11104/0187315File Download Size Commentary Version Access 0346245.pdf 0 801.6 KB Author´s preprint open-access - 9.0330308 - ÚI 2010 RIV US eng J - Journal Article
Liesen, J. - Tichý, Petr
On Best Approximations of Polynomials in Matrices in the Matrix 2-Norm.
[O nejlepší aproximaci maticových polynomů ve 2-normě matice.]
SIAM Journal on Matrix Analysis and Applications. Roč. 31, č. 2 (2009), s. 853-863. ISSN 0895-4798. E-ISSN 1095-7162
R&D Projects: GA AV ČR IAA100300802
Institutional research plan: CEZ:AV0Z10300504
Keywords : matrix approximation problems * polynomials in matrices * matrix functions * matrix 2-norm * GMRES * Arnoldi's method
Subject RIV: BA - General Mathematics
Impact factor: 2.411, year: 2009
Permanent Link: http://hdl.handle.net/11104/0176128File Download Size Commentary Version Access 0330308.pdf 0 313.7 KB Author´s preprint open-access - 10.0314393 - ÚI 2009 RIV US eng J - Journal Article
Faber, V. - Liesen, J. - Tichý, Petr
The Faber-Manteuffel Theorem for Linear Operators.
[Faber-Manteuffelova věta pro lineární operátory.]
SIAM Journal on Numerical Analysis. Roč. 46, č. 3 (2008), s. 1323-1337. ISSN 0036-1429. E-ISSN 1095-7170
R&D Projects: GA AV ČR 1ET400300415
Institutional research plan: CEZ:AV0Z10300504
Keywords : cyclic subspaces * Krylov subspaces * orthogonal bases * orthogonalization * short recurrences * normal matrices
Subject RIV: BA - General Mathematics
Impact factor: 1.152, year: 2008
Permanent Link: http://hdl.handle.net/11104/0164917