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- 1.0404487 - UIVT-O 20010142 RIV US eng J - Journal Article
Lukšan, Ladislav - Vlček, Jan
Numerical Experience with Iterative Methods for Equality Constrained Nonlinear Programming Problems.
Optimization Methods & Software. Roč. 16, č. 1-4 (2001), s. 257-287. ISSN 1055-6788. E-ISSN 1029-4937
R&D Projects: GA ČR GA201/00/0080
Institutional research plan: AV0Z1030915
Keywords : nonlinear equations * sparse problems * equality constraints * inexact Newton method * line search methods * indefinite systems * indefinite preconditioners * symmetric Krylov subspace methods * residual smoothing * computational experiments
Subject RIV: BB - Applied Statistics, Operational Research
Impact factor: 0.623, year: 2001
Permanent Link: http://hdl.handle.net/11104/0124740 - 2.0404265 - UIVT-O 20010084 CH eng V - Research Report
Gutknecht, M. H. - Rozložník, Miroslav
A Framework for Generalized Conjugate Gradient Methods - with Special Emphasis on Contributions by Rüdiger Weiss.
Zurich: SAM ETH, 2001. 20 s. Research Report, SAM.
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
Permanent Link: http://hdl.handle.net/11104/0124528 - 3.0404264 - 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 - 4.0404252 - UIVT-O 20010076 RIV NL eng J - Journal Article
Gutknecht, M. H. - Rozložník, Miroslav
By how much can Residual Minimization Accelerate the Convergence of Orthogonal Residual Methods?
Numerical Algorithms. Roč. 27, - (2001), s. 189-213. ISSN 1017-1398. E-ISSN 1572-9265
R&D Projects: GA ČR GA201/98/P108
Institutional research plan: AV0Z1030915
Keywords : system of linear algebraic equations * iterative method * Krylov space method * conjugate gradient method * biconjugate gradient method * CG * CGNE * CGNR * CGS * FOM * GMRes * QMR * TFQMR * residual smoothing * MR smoothing * QMR smoothing
Subject RIV: BA - General Mathematics
Impact factor: 0.438, year: 2001
Permanent Link: http://hdl.handle.net/11104/0124515File Download Size Commentary Version Access 0404252.pdf 0 1.3 MB Author´s preprint open-access - 5.0404051 - UIVT-O 20000185 CZ eng V - Research Report
Lukšan, Ladislav - Vlček, Jan
Numerical Experience with Iterative Methods for Equality Constrained Nonlinear Programming Problems.
Prague: ICS AS CR, 2000. 28 s. Technical Report, V-779.
R&D Projects: GA ČR GA201/00/0080
Institutional research plan: AV0Z1030915
Keywords : nonlinear programming * sparse problems * equality constraints * inexact Newton method * line search methods * trust region methods * indefinite systems * indefinite preconditioners * symmetric Krylov subspace methods * residual smoothing * computational experiments
Permanent Link: http://hdl.handle.net/11104/0124329File Download Size Commentary Version Access v779-99.pdf 31 272.8 KB Other open-access - 6.0404045 - UIVT-O 20000180 CH eng V - Research Report
Gutknecht, M. H. - Rozložník, Miroslav
By how much can Residual Minimization Accelerate the Convergence of Orthogonal Residual Methods?.
Zurich: SAM ETH, 2000. 20 s. Technical Report, SAM 2000-09.
R&D Projects: GA ČR GA201/98/P108
Institutional research plan: AV0Z1030915
Keywords : system of linear algebraic equations * iterative method * Krylov space method * conjugate gradient method * biconjugate gradient method * CG * CGNE * CGNR * CGS * FOM * GMRes * QMR * TFQMR * residual smoothing * MR smoothing * QMR smoothing
Permanent Link: http://hdl.handle.net/11104/0124325 - 7.0403719 - UIVT-O 20010006 RIV SE eng J - Journal Article
Gutknecht, M. H. - Rozložník, Miroslav
Residual Smoothing Techniques: Do They Improve the Limiting Accuracy of Iterative Solvers?
Bit. Roč. 41, č. 1 (2001), s. 86-114. ISSN 0006-3835. E-ISSN 1572-9125
R&D Projects: GA ČR GA201/98/P108
Institutional research plan: AV0Z1030915
Keywords : iterative methods * residual smoothing * limiting accuracy
Subject RIV: BA - General Mathematics
Impact factor: 0.835, year: 2001
Permanent Link: http://hdl.handle.net/11104/0124013File Download Size Commentary Version Access 0403719.pdf 0 1.2 MB Author´s preprint open-access - 8.0403246 - UIVT-O 980021 RIV SE eng J - Journal Article
Lukšan, Ladislav - Vlček, Jan
Indefinitely preconditioned inexact Newton method for large sparse equality constrained non-linear programming problems.
Numerical Linear Algebra with Applications. Roč. 5, č. 3 (1998), s. 219-247. ISSN 1070-5325. E-ISSN 1099-1506
R&D Projects: GA ČR GA201/96/0918
Keywords : nonlinear programming * sparse problems * equality constraints * truncated Newton method * augmented Lagrangian function * indefinite systems * indefinite preconditioners * conjugate gradient method * residual smoothing
Subject RIV: BA - General Mathematics
Impact factor: 0.741, year: 1998
Permanent Link: http://hdl.handle.net/11104/0123566 - 9.0403202 - UIVT-O 970115 CZ eng V - Research Report
Lukšan, Ladislav - Vlček, Jan
PEQN, PEQL - CGS Based Algorithms for Sparse Systems of Nonlinear Equations.
Prague: ICS AS CR, 1997. 16 s. Technical Report, V-719.
R&D Projects: GA ČR GA201/96/0918
Keywords : nonlinear equations * sparse systems * discrete Newton method * limited memory quasi-Newton method * iterative solution of linear systems * conjugate gradient squared * residual smoothing
Permanent Link: http://hdl.handle.net/11104/0123527File Download Size Commentary Version Access v719-97.pdf 17 198.2 KB Other open-access - 10.0402856 - UIVT-O 960167 CZ eng V - Research Report
Lukšan, Ladislav - Vlček, Jan
Fully Iterative Indefinitely Preconditioned Algorithm for Large Sparse Equality Constrained Nonlinear Programming Problems.
Prague: ICS AS CR, 1996. 12 s. Technical Report, V-691.
R&D Projects: GA ČR GA201/96/0918
Keywords : nonlinear programming * sparse problem * equality constraints * truncated Newton method * augmented Lagrangian function * indefinite system * conjugate gradient method * residual smoothing * indefinite preconditioner
Permanent Link: http://hdl.handle.net/11104/0123231File Download Size Commentary Version Access v691-96.pdf 19 178.3 KB Other open-access