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- 1.0404727 - UIVT-O 20030115 RIV US eng J - Journal Article
Benzi, M. - Tůma, Miroslav
A Robust Preconditioner with Low Memory Requirements for Large Sparse Least Squares Problems.
SIAM Journal on Scientific Computing. Roč. 25, č. 2 (2003), s. 499-512. ISSN 1064-8275. E-ISSN 1095-7197
R&D Projects: GA AV ČR IAA1030103; GA AV ČR IAA2030801
Institutional research plan: AV0Z1030915
Keywords : large sparse least squares problems * preconditioned CGLS * robust incomplete factorization * incomplete C-orthogonalization * incomplete QR
Subject RIV: BA - General Mathematics
Impact factor: 1.379, year: 2003
Permanent Link: http://hdl.handle.net/11104/0124965File Download Size Commentary Version Access 0404727.pdf 0 682.1 KB Author´s preprint open-access - 2.0404726 - UIVT-O 20030114 RIV GB eng J - Journal Article
Benzi, M. - Tůma, Miroslav
A Robust Incomplete Factorization Preconditioner for Positive Definite Matrices.
Numerical Linear Algebra with Applications. Roč. 10, - (2003), s. 385-400. ISSN 1070-5325. E-ISSN 1099-1506
R&D Projects: GA AV ČR IAA2030801; GA AV ČR IAA1030103
Institutional research plan: AV0Z1030915
Keywords : sparse linear systems * positive definite matrices * preconditioned conjugate gradients * incomplete factorization * A-orthogonalization * SAINV
Subject RIV: BA - General Mathematics
Impact factor: 1.042, year: 2003
Permanent Link: http://hdl.handle.net/11104/0124964File Download Size Commentary Version Access 0404726.pdf 2 726.5 KB Author´s preprint open-access - 3.0404360 - UIVT-O 20020017 RIV DE eng J - Journal Article
Paige, C. C. - Strakoš, Zdeněk
Bounds for the Least Squares Distance using Scaled Total Least Squares.
Numerische Mathematik. Roč. 91, - (2002), s. 93-115. ISSN 0029-599X. E-ISSN 0945-3245
R&D Projects: GA AV ČR IAA1030103
Grant - others:NSERC(CA) OGP0009236
Institutional research plan: AV0Z1030915
Keywords : overdetermined inconsistent linear systems * least squares correction * scaled total least squares correction * bounds * minimal residual methods
Subject RIV: BA - General Mathematics
Impact factor: 1.239, year: 2002
Permanent Link: http://hdl.handle.net/11104/0124616 - 4.0404264 - UIVT-O 20020013 RIV NL eng J - Journal Article
Gutknecht, M. H. - Rozložník, Miroslav
A Framework for Generalized Conjugate Gradient Methods - with Special Emphasis on Contributions by Rüdiger Weiss.
Applied Numerical Mathematics. Roč. 41, - (2002), s. 7-22. ISSN 0168-9274. E-ISSN 1873-5460
R&D Projects: GA AV ČR IAA1030103; GA ČR GA101/00/1035
Institutional research plan: AV0Z1030915
Keywords : sparse linear systems * Krylov space method * orthogonal residual method * minimal residual method * conjugate gradient method * residual smoothing * CG * CGNE * CGNR * CR * FOM * GMRES * PRES
Subject RIV: BA - General Mathematics
Impact factor: 0.504, year: 2002
Permanent Link: http://hdl.handle.net/11104/0124527File Download Size Commentary Version Access 0404264.pdf 0 749.4 KB Author´s preprint open-access - 5.0404084 - UIVT-O 20020010 RIV US eng J - Journal Article
Paige, C. C. - Strakoš, Zdeněk
Residual and Backward Error Bounds in Minimum Residual Krylov Subspace Methods.
SIAM Journal on Scientific Computing. Roč. 23, č. 6 (2002), s. 1899-1924. ISSN 1064-8275. E-ISSN 1095-7197
R&D Projects: GA AV ČR IAA1030103
Institutional research plan: AV0Z1030915
Keywords : linear equations * eigenproblem * large sparse matrices * iterative solutions * Krylov subspace methods * Arnoldi method * GMRES * modified Gram-Schmidt * least squares * total least squares * singular values
Subject RIV: BA - General Mathematics
Impact factor: 1.291, year: 2002
Permanent Link: http://hdl.handle.net/11104/0124355 - 6.0404002 - UIVT-O 20010018 RIV US eng J - Journal Article
Liesen, J. - Rozložník, Miroslav - Strakoš, Zdeněk
Least Squares Residuals and Minimal Residual Methods.
SIAM Journal on Scientific Computing. Roč. 23, č. 5 (2002), s. 1503-1525. ISSN 1064-8275. E-ISSN 1095-7197
R&D Projects: GA AV ČR IAA1030103
Institutional research plan: AV0Z1030915
Keywords : linear systems * least squares problems * Krylov subspace methods * minimal residual methods * GMRES * convergence * rounding errors
Subject RIV: BA - General Mathematics
Impact factor: 1.291, year: 2002
Permanent Link: http://hdl.handle.net/11104/0124283File Download Size Commentary Version Access a0404002.pdf 0 692.5 KB Publisher’s postprint open-access - 7.0103267 - UIVT-O 20040008 RIV SE eng J - Journal Article
Lukšan, Ladislav - Matonoha, Ctirad - Vlček, Jan
Interior-Point Method for Non-Linear Non-Convex Optimization.
[Metoda vnitřních bodů pro nelineární nekonvexní optimalizaci.]
Numerical Linear Algebra with Applications. Roč. 11, č. 5-6 (2004), s. 431-453. ISSN 1070-5325. E-ISSN 1099-1506
R&D Projects: GA AV ČR IAA1030103
Institutional research plan: CEZ:AV0Z1030915
Keywords : non-linear programming * interior point methods * indefinite systems * indefinite preconditioners * preconditioned conjugate gradient method * merit functions * algorithms * computational experiments
Subject RIV: BA - General Mathematics
Impact factor: 0.727, year: 2004
https://www.math.ru.nl/pmocco/Announcement_2.html
Permanent Link: http://hdl.handle.net/11104/0010579 - 8.0092642 - 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 - 9.0039324 - ÚI 2007 RIV US eng J - Journal Article
Tůma, Miroslav
A Note on the LDL T Decomposition of Matrices from Saddle-Point Problems.
[O LDLT rozkladu matic sedlového bodu.]
SIAM Journal on Matrix Analysis and Applications. Roč. 23, č. 4 (2002), s. 903-915. ISSN 0895-4798. E-ISSN 1095-7162
R&D Projects: GA AV ČR IAA1030103; GA ČR GA101/00/1035
Institutional research plan: CEZ:AV0Z1030915
Keywords : system of sparse linear algebraic equations * symmetric indefinite systems * direct methods * LDL T decomposition * supernodal solvers
Subject RIV: BA - General Mathematics
Impact factor: 0.753, year: 2002
Permanent Link: http://hdl.handle.net/11104/0133444File Download Size Commentary Version Access 0039324.pdf 0 720.9 KB Author´s preprint open-access