Search results
- 1.0474267 - ÚI 2018 RIV GB eng J - Journal Article
Scott, J. - Tůma, Miroslav
Improving the Stability and Robustness of Incomplete Symmetric Indefinite Factorization Preconditioners.
Numerical Linear Algebra with Applications. Roč. 24, č. 5 (2017), č. článku e2099. ISSN 1070-5325. E-ISSN 1099-1506
Grant - others:GA ČR(CZ) GC17-04150J; GA ČR(CZ) GC17-04150J; EPSRC(GB) EP/I013067/1
Institutional support: RVO:67985807
Keywords : incomplete factorizations * indefinite symmetric systems * iterative solvers * pivoting * preconditioning * sparse linear systems * sparse matrices
OECD category: Applied mathematics
Impact factor: 1.281, year: 2017
Permanent Link: http://hdl.handle.net/11104/0271387File Download Size Commentary Version Access a0474267.pdf 6 616.9 KB Publisher’s postprint require - 2.0432737 - ÚI 2015 RIV US eng J - Journal Article
Scott, J. - Tůma, Miroslav
On Signed Incomplete Cholesky Factorization Preconditioners for Saddle-Point Systems.
SIAM Journal on Scientific Computing. Roč. 36, č. 6 (2014), A2984-A3010. ISSN 1064-8275. E-ISSN 1095-7197
R&D Projects: GA ČR GA13-06684S
Grant - others:EPSRC(GB) EP/I013067/1
Program: GA
Institutional support: RVO:67985807
Keywords : sparse matrices * sparse linear systems * indefinite symmetric systems * saddle-point systems * iterative solvers * preconditioning * incomplete Cholesky factorization
Subject RIV: BA - General Mathematics
Impact factor: 1.854, year: 2014
Permanent Link: http://hdl.handle.net/11104/0237112 - 3.0428296 - ÚI 2015 RIV US eng J - Journal Article
Scott, J. - Tůma, Miroslav
On Positive Semidefinite Modification Schemes for Incomplete Cholesky Factorization.
SIAM Journal on Scientific Computing. Roč. 36, č. 2 (2014), A609-A633. ISSN 1064-8275. E-ISSN 1095-7197
R&D Projects: GA ČR GA13-06684S
Institutional support: RVO:67985807
Keywords : sparse matrices * sparse linear systems * positive-definite symmetric systems * iterative solvers * preconditioning * incomplete Cholesky factorization
Subject RIV: BA - General Mathematics
Impact factor: 1.854, year: 2014
Permanent Link: http://hdl.handle.net/11104/0233652File Download Size Commentary Version Access 0428296.pdf 5 1.3 MB Author´s preprint open-access - 4.0427228 - ÚI 2015 GB eng V - Research Report
Scott, J. - Tůma, Miroslav
On positive semidefinite modification schemes for incomplete Cholesky factorization.
Rutherford Appleton Laboratory, 2013. 23 s. Preprint, RAL-TR-2013-P-005. ISBN 1361- 4762
R&D Projects: GA ČR GA13-06684S
Institutional support: RVO:67985807
Keywords : sparse matrices * sparse linear systems * positive-definite symmetric systems * iterative solvers * preconditioning * incomplete Cholesky factorization
Subject RIV: BA - General Mathematics
Permanent Link: http://hdl.handle.net/11104/0232826 - 5.0427226 - ÚI 2015 GB eng V - Research Report
Scott, J. - Tůma, Miroslav
On signed incomplete Cholesky factorization preconditioners for saddle-point systems.
Rutherford Appleton Laboratory, 2014. 23 s. Preprint, RAL-P-2014-003. ISBN 1361- 4762
R&D Projects: GA ČR GA13-06684S
Institutional support: RVO:67985807
Keywords : sparse matrices * sparse linear systems * indenite symmetric systems * saddle-point systems * iterative solvers * preconditioning * incomplete Cholesky factorization
Subject RIV: BA - General Mathematics
Permanent Link: http://hdl.handle.net/11104/0232825File Download Size Commentary Version Access RAL-P-2014-003.pdf 0 516.1 KB Other open-access - 6.0405535 - UIVT-O 330913 SIGLE CZ eng V - Research Report
Duintjer Tebbens, Jurjen - Tůma, Miroslav
Preconditioner Updates for Solving Sequences of Large and Sparse Nonsymmetric Linear Systems.
Prague: ICS AS CR, 2005. 19 s. Technical Report, V-940.
R&D Projects: GA AV ČR 1ET400300415
Institutional research plan: CEZ:AV0Z10300504
Keywords : preconditioned iterative methods * sparse matrices * sequences of linear algebraic systems * incomplete factorizations * factorization updates * Gauss-Jordan transformations * minimum spanning tree
Subject RIV: BA - General Mathematics
Permanent Link: http://hdl.handle.net/11104/0125693File Download Size Commentary Version Access v940-05.pdf 15 289.1 KB Other open-access - 7.0405455 - UIVT-O 330830 RIV US eng J - Journal Article
Paige, C. C. - Rozložník, Miroslav - Strakoš, Zdeněk
Modified Gram-Schmidt (MGS), Least Squares, and Backward Stability of MGS-GMRES.
[Modifikovaný Gram-Schmidtův algoritmus, úloha nejmenších čtverců a zpětná stabilita metody GMRES.]
SIAM Journal on Matrix Analysis and Applications. Roč. 28, č. 1 (2006), s. 264-284. ISSN 0895-4798. E-ISSN 1095-7162
R&D Projects: GA AV ČR 1ET400300415
Institutional research plan: CEZ:AV0Z10300504
Keywords : rounding error analysis * modified Gram-Schmidt * QR factorization * loss of orthogonality * least squares * singular values * backward stability * linear equations * condition numbers * large sparse matrices * iterative solution * Krylov subspace methods * Arnoldi method * generalized minimum residual method
Subject RIV: BA - General Mathematics
Impact factor: 1.798, year: 2006
Permanent Link: http://hdl.handle.net/11104/0125619File Download Size Commentary Version Access 0405455.pdf 1 765.8 KB Author´s preprint open-access - 8.0404144 - UIVT-O 20010031 GB eng V - Research Report
Arioli, M. - Maryška, Jiří - Rozložník, Miroslav - Tůma, Miroslav
Dual Variable Methods for Mixed-Hybrid Finite Element Approximation of the Potential Fluid Flow Problem in Porous Media.
Rutherford Appleton Laboratory, 2001. 28 s. Technical Report, RAL-TR-2001-023.
R&D Projects: GA ČR GA201/98/P108; GA ČR GA101/00/1035
Institutional research plan: AV0Z1030915
Keywords : augmented systems * sparse matrices * mixed finite elements * mixed-hybrid formulation
Subject RIV: BA - General Mathematics
Permanent Link: http://hdl.handle.net/11104/0124412 - 9.0404084 - 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 - 10.0403595 - UIVT-O 980149 CZ eng V - Research Report
Paige, Ch. - Strakoš, Zdeněk
Residuals and Singular Values in Linear Least Squares Problems.
Prague: ICS AS CR, 1998. 23 s. Technical Report, V-765.
R&D Projects: GA ČR GA205/96/0921; GA AV ČR IAA2030706
Keywords : least squares * singular values * linear equations * large sparse matrices * Krylov methods * iterative solution * GMRES * modified Gram-Schmidt
Permanent Link: http://hdl.handle.net/11104/0123894File Download Size Commentary Version Access v765-98.pdf 13 264.4 KB Other open-access