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  1. 1.
    0550984 - MÚ 2023 RIV US eng J - Journal Article
    Carson, E. - Lund, K. - Rozložník, Miroslav - Thomas, S.
    Block Gram-Schmidt algorithms and their stability properties.
    Linear Algebra and Its Applications. Roč. 638, April 1 (2022), s. 150-195. ISSN 0024-3795. E-ISSN 1873-1856
    R&D Projects: GA ČR(CZ) GA20-01074S
    Institutional support: RVO:67985840
    Keywords : Gram-Schmidt * Block Krylov subspace methods * stabilityLoss of orthogonality
    OECD category: Pure mathematics
    Impact factor: 1.1, year: 2022
    Method of publishing: Open access
    https://doi.org/10.1016/j.laa.2021.12.017
    Permanent Link: http://hdl.handle.net/11104/0326259
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    Rozloznik.pdf81.4 MBPublisher’s postprintopen-access
     
     
  2. 2.
    0545475 - MÚ 2022 RIV US eng J - Journal Article
    Carson, E. - Lund, K. - Rozložník, Miroslav
    The stability of block variants of classical Gram-Schmidt.
    SIAM Journal on Matrix Analysis and Applications. Roč. 42, č. 3 (2021), s. 1365-1380. ISSN 0895-4798. E-ISSN 1095-7162
    R&D Projects: GA ČR(CZ) GA20-01074S
    Institutional support: RVO:67985840
    Keywords : Gram-Schmidt * block vectors * block Krylov subspace methods * loss of orthogonality
    OECD category: Pure mathematics
    Impact factor: 1.908, year: 2021
    Method of publishing: Limited access
    https://doi.org/10.1137/21M1394424
    Permanent Link: http://hdl.handle.net/11104/0322163
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    Rozloznik1.pdf71.3 MBPublisher’s postprintrequire
     
     
  3. 3.
    0524496 - ÚGN 2021 RIV US eng J - Journal Article
    Kubínová, Marie - Soothalter, K. M.
    Admissible and Attainable Convergence Behavior of Block Arnoldi and GMRES.
    SIAM Journal on Matrix Analysis and Applications. Roč. 41, č. 2 (2020), s. 464-486. ISSN 0895-4798. E-ISSN 1095-7162
    R&D Projects: GA MŠMT LQ1602
    Institutional support: RVO:68145535
    Keywords : block Krylov subspace methods * multiple right-hand sides * block GMRES * convergence * spectrum * block companion matrix
    OECD category: Applied mathematics
    Impact factor: 1.944, year: 2020
    Method of publishing: Limited access
    https://epubs.siam.org/doi/10.1137/19M1272469
    Permanent Link: http://hdl.handle.net/11104/0308870
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    UGN_0524496.pdf0529.3 KBPublisher’s postprintrequire
     
     
  4. 4.
    0520882 - ÚGN 2020 RIV US eng L4 - Software
    Kružík, Jakub
    PCDeflation.
    Internal code: PCDeflation ; 2019
    Technical parameters: Jakub Kružík, Ústav geoniky AV ČR, v. v. i. , jakub.kružík@ugn.cas.cz
    Economic parameters: Deflační předpodmiňovač v PETSc sloužící ke zrychlení řešení soustav lineárních rovnic
    R&D Projects: GA MŠMT LQ1602
    Institutional support: RVO:68145535
    Keywords : deflaction * preconditioner * Krylov subspace methods
    OECD category: Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)
    https://www.mcs.anl.gov/petsc/petsc-3.12/docs/manualpages/PC/PCDEFLATION.html
    Permanent Link: http://hdl.handle.net/11104/0305555
     
     
  5. 5.
    0495023 - MÚ 2019 RIV US eng J - Journal Article
    Carson, E.T. - Rozložník, Miroslav - Strakoš, Z. - Tichý, P. - Tůma, M.
    The numerical stability analysis of pipelined conjugate gradient methods: historical context and methodology.
    SIAM Journal on Scientific Computing. Roč. 40, č. 5 (2018), A3549-A3580. ISSN 1064-8275. E-ISSN 1095-7197
    Institutional support: RVO:67985840
    Keywords : pipelined Krylov subspace methods * pipelined conjugate gradient methods * numerical stability
    OECD category: Pure mathematics
    Impact factor: 2.310, year: 2018
    https://epubs.siam.org/doi/abs/10.1137/16M1103361
    Permanent Link: http://hdl.handle.net/11104/0288062
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    Rozloznik1.pdf1519.5 MBPublisher’s postprintrequire
     
     
  6. 6.
    0492190 - ÚI 2019 RIV CH eng C - Conference Paper (international conference)
    Gergelits, Tomáš - Hnětynková, I. - Kubínová, Marie
    Relating Computed and Exact Entities in Methods Based on Lanczos Tridiagonalization.
    High Performance Computing in Science and Engineering - HPCSE 2017. Cham: Springer, 2018 - (Kozubek, T.; Čermák, M.; Tichý, P.; Blaheta, R.; Šístek, J.; Lukáš, D.; Jaroš, J.), s. 73-87. Lecture Notes in Computer Science, 11087. ISBN 978-3-319-97135-3. ISSN 0302-9743.
    [HPCSE 2017: International Conference on High Performance Computing in Science and Engineering /3./. Karolinka (CZ), 22.05.2017-25.05.2017]
    Grant - others:GA ČR(CZ) GC17-04150J
    Institutional support: RVO:67985807
    Keywords : Krylov subspace * CGL * Finite-precision computations * MINRES * Loss of orthogonality * Delay of convergence * Lanczos vectors
    OECD category: Applied mathematics
    Permanent Link: http://hdl.handle.net/11104/0285734
     
     
  7. 7.
    0483094 - ÚGN 2019 RIV DE eng C - Conference Paper (international conference)
    Axelsson, Owe - Lukáš, D.
    Preconditioners for Time-Harmonic Optimal Control Eddy-Current Problems.
    Lecture Notes in Computer Science. Berlin: Springer International Publishing AG, 2018, s. 47-54. Large-Scale Scientific Computing, 10665. ISBN 978-3-319-73440-8. ISSN 0302-9743. E-ISSN 1611-3349.
    [LSSC 2017 - Large Scale Scientific Computing 2017 /11./. Sozopol (BG), 05.06.2017-09.06.2017]
    R&D Projects: GA MŠMT LQ1602
    Institutional support: RVO:68145535
    Keywords : preconditioning * Krylov subspace methods Optimal control * Eddy currents * time-harmonic
    OECD category: Applied mathematics
    https://link.springer.com/chapter/10.1007/978-3-319-73441-5_4
    Permanent Link: http://hdl.handle.net/11104/0278504
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    UGN_0483094.pdf5294.8 KBAuthor´s preprintopen-access
     
     
  8. 8.
    0448127 - MÚ 2016 RIV GB eng J - Journal Article
    Šístek, Jakub - Cirak, F.
    Parallel iterative solution of the incompressible Navier-Stokes equations with application to rotating wings.
    Computers & Fluids. Roč. 122, 20 November (2015), s. 165-183. ISSN 0045-7930. E-ISSN 1879-0747
    R&D Projects: GA ČR GA14-02067S
    Institutional support: RVO:67985840
    Keywords : Navier-Stokes * incompressible flow * Krylov subspace methods
    Subject RIV: BA - General Mathematics
    Impact factor: 1.891, year: 2015
    http://www.sciencedirect.com/science/article/pii/S0045793015003023
    Permanent Link: http://hdl.handle.net/11104/0249850
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    Sistek3.pdf33.1 MBPublisher’s postprintrequire
     
     
  9. 9.
    0448099 - ÚI 2016 RIV US eng J - Journal Article
    Hnětynková, Iveta - Plešinger, M.
    Complex Wedge-Shaped Matrices: A Generalization of Jacobi Matrices.
    Linear Algebra and Its Applications. Roč. 487, 15 December (2015), s. 203-219. ISSN 0024-3795. E-ISSN 1873-1856
    R&D Projects: GA ČR GA13-06684S
    Keywords : eigenvalues * eigenvector * wedge-shaped matrices * generalized Jacobi matrices * band (or block) Krylov subspace methods
    Subject RIV: BA - General Mathematics
    Impact factor: 0.965, year: 2015
    Permanent Link: http://hdl.handle.net/11104/0249820
     
     
  10. 10.
    0437257 - ÚI 2015 ES eng A - Abstract
    Hnětynková, Iveta - Kubínová, Marie
    Noise propagation in Golub-Kahan bidiagonalization and its relation to projection methods for solving discrete inverse problems.
    Joint ALAMA-GAMM/ANLA 2014 Meeting. Book of abstracts. Barcelona: Universitat Politècnica de Catalunya, 2014.
    [Joint ALAMA-GAMM/ANLA 2014 Meeting. 14.07.2014-16.07.2014, Barcelona]
    R&D Projects: GA ČR GA13-06684S
    Grant - others:GA UK(CZ) 695612
    Institutional support: RVO:67985807
    Keywords : inverse problems * regularization * Krylov subspace methods * Golub-Kahan bidiagonalization
    Subject RIV: BA - General Mathematics
    Permanent Link: http://hdl.handle.net/11104/0240792
    FileDownloadSizeCommentaryVersionAccess
    0437257.pdf1659.9 KBAuthor´s preprintopen-access
     
     

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