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  1. 1.
    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
    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/11104/0124527
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    0404264.pdf0749.4 KBAuthor´s preprintopen-access
     
  2. 2.
    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
    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/11104/0124515
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    0404252.pdf01.3 MBAuthor´s preprintopen-access
     
  3. 3.
    0403905 - UIVT-O 20000069 RIV US eng J - Journal Article
    Gutknecht, M. H. - Strakoš, Zdeněk
    Accuracy of Two Three-Term and Three Two-Term Recurrences for Krylov Space Solvers.
    SIAM Journal on Matrix Analysis and Applications. Roč. 22, č. 1 (2000), s. 213-229. ISSN 0895-4798
    R&D Projects: GA ČR GA205/96/0921; GA AV ČR IAA2030706
    Institutional research plan: AV0Z1030915
    Keywords : linear system of equations * iterative method * Krylov space method * conjugate gradient method * tree-term recurrence * accuracy * roundoff
    Subject RIV: BA - General Mathematics
    Impact factor: 1.182, year: 2000
    Permanent Link: http://hdl.handle.net/11104/0124192
     
  4. 4.
    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
    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/11104/0124013
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    0403719.pdf01.2 MBAuthor´s preprintopen-access
     
  5. 5.
    0310698 - ÚI 2010 RIV US eng J - Journal Article
    Jiránek, P. - Rozložník, Miroslav - Gutknecht, M. H.
    How to make Simpler GMRES and GCR more Stable.
    [Jak stabilizovat metody Simpler GMRES and GCR?]
    SIAM Journal on Matrix Analysis and Applications. Roč. 30, č. 4 (2008), s. 1483-1499. ISSN 0895-4798
    R&D Projects: GA MŠk 1M0554; GA AV ČR IAA100300802; GA AV ČR IAA1030405
    Institutional research plan: CEZ:AV0Z10300504
    Keywords : large-scale nonsymmetric linear systems * Krylov subspace methods * minimum residual methods * numerical stability * rounding errors
    Subject RIV: BA - General Mathematics
    Impact factor: 1.328, year: 2008
    Permanent Link: http://hdl.handle.net/11104/0162481
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    0310698.pdf0735.6 KBAuthor´s preprintopen-access