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  1. 1.
    0504548 - ÚI 2020 RIV CZ eng C - Conference Paper (international conference)
    Vlček, Jan - Lukšan, Ladislav
    Application of the Infinitely Many Times Repeated BNS Update and Conjugate Directions to Limited-Memory Optimization Methods.
    Programs and Algorithms of Numerical Mathematics 19. Prague: Institute of Mathematics of the Czech Academy of Sciences, 2019 - (Chleboun, J.; Kůs, P.; Přikryl, P.; Rozložník, M.; Segeth, K.; Šístek, J.; Vejchodský, T.), s. 177-185. ISBN 978-80-85823-69-1.
    [Programs and Algorithms of Numerical Mathematics /19./. Hejnice (CZ), 24.06.2018-29.06.2018]
    Institutional support: RVO:67985807
    Keywords : unconstrained minimization * limited-memory variable metric methods * the repeated Byrd-Nocedal-Schnabel update * the Lyapunov matrix equation * the conjugate directions * global convergence * numerical results
    OECD category: Applied mathematics
    Permanent Link: http://hdl.handle.net/11104/0296152
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    0504548-a.pdf3377.8 KBPublisher’s postprintrequire
     
     
  2. 2.
    0497192 - ÚI 2020 RIV CZ eng C - Conference Paper (international conference)
    Lukšan, Ladislav - Vlček, Jan
    A Hybrid Method for Nonlinear Least Squares that Uses Quasi-Newton Updates Applied to an Approximation of the Jacobian Matrix.
    Programs and Algorithms of Numerical Mathematics 19. Prague: Institute of Mathematics of the Czech Academy of Sciences, 2019 - (Chleboun, J.; Kůs, P.; Přikryl, P.; Rozložník, M.; Segeth, K.; Šístek, J.; Vejchodský, T.), s. 99-106. ISBN 978-80-85823-69-1.
    [Programs and Algorithms of Numerical Mathematics /19./. Hejnice (CZ), 24.06.2018-29.06.2018]
    Institutional support: RVO:67985807
    Keywords : nonlinear least squares * hybrid methods * trust-region methods * quasi-Newton methods * numerical algorithms * numerical experiments
    OECD category: Applied mathematics
    Permanent Link: http://hdl.handle.net/11104/0289769
    FileDownloadSizeCommentaryVersionAccess
    0497192a.pdf3103.1 KBPublisher’s postprintrequire
     
     
  3. 3.
    0476437 - ÚI 2018 RIV CZ eng C - Conference Paper (international conference)
    Vlček, Jan - Lukšan, Ladislav
    A Generalized Limited-Memory BNS Method Based on the Block BFGS Update.
    Programs and algorithms of numerical mathematics 18. Prague: Institute of Mathematics CAS, 2017 - (Chleboun, J.; Kůs, P.; Přikryl, P.; Segeth, K.; Šístek, J.; Vejchodský, T.), s. 164-171. ISBN 978-80-85823-67-7.
    [Programs and Algorithms of Numerical Mathematics /18./. Janov nad Nisou (CZ), 19.06.2016-24.06.2016]
    R&D Projects: GA ČR GA13-06684S
    Institutional support: RVO:67985807
    Keywords : unconstrained minimization * block variable metric methods * limited-memory methods * the BFGS update * global convergence * numerical results
    OECD category: Applied mathematics
    http://dml.cz/handle/10338.dmlcz/703010
    Permanent Link: http://hdl.handle.net/11104/0272937
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    PANM_18-2016-1_22.pdf4254 KBPublisher’s postprintopen-access
     
     
  4. 4.
    0444129 - ÚI 2016 RIV CZ eng C - Conference Paper (international conference)
    Vlček, Jan - Lukšan, Ladislav
    A Modified Limited-Memory BNS Method for Unconstrained Minimization Derived from the Conjugate Directions Idea.
    Programs and algorithms of numerical mathematics 17. Proceedings of seminar. Praha: Matematický ústav AV ČR, v.v.i, 2015 - (Chleboun, J.; Přikryl, P.; Segeth, K.; Šístek, J.; Vejchodský, T.), s. 237-243. ISBN 978-80-85823-64-6.
    [Programs and Algorithms of Numerical Mathematics /17./. Dolní Maxov (CZ), 08.06.2014-13.06.2014]
    R&D Projects: GA ČR GA13-06684S
    Institutional support: RVO:67985807
    Keywords : large scale unconstrained optimization * numerical experiments * limited-memory variable metric method * BNS method * quasi-Newton method * convergence
    Subject RIV: BA - General Mathematics
    http://dml.cz/handle/10338.dmlcz/702689
    Permanent Link: http://hdl.handle.net/11104/0246707
    FileDownloadSizeCommentaryVersionAccess
    PANM_17-2014-1_37.pdf3206.2 KBPublisher’s postprintopen-access
     
     
  5. 5.
    0444128 - ÚI 2016 RIV CZ eng C - Conference Paper (international conference)
    Lukšan, Ladislav - Vlček, Jan
    Nonlinear Conjugate Gradient Methods.
    Programs and algorithms of numerical mathematics 17. Proceedings of seminar. Praha: Matematický ústav AV ČR, v.v.i, 2015 - (Chleboun, J.; Přikryl, P.; Segeth, K.; Šístek, J.; Vejchodský, T.), s. 130-135. ISBN 978-80-85823-64-6.
    [Programs and Algorithms of Numerical Mathematics /17./. Dolní Maxov (CZ), 08.06.2014-13.06.2014]
    Institutional support: RVO:67985807
    Keywords : minimization * nonlinear conjugate gradient methods * comparison of methods * efficiency of methods
    Subject RIV: BA - General Mathematics
    http://dml.cz/handle/10338.dmlcz/702674
    Permanent Link: http://hdl.handle.net/11104/0246706
    FileDownloadSizeCommentaryVersionAccess
    PANM_17-2014-1_22.pdf8173.2 KBPublisher’s postprintopen-access
     
     
  6. 6.
    0404921 - UIVT-O 20030205 RIV CZ cze C - Conference Paper (international conference)
    Lukšan, Ladislav - Vlček, Jan - Tůma, Miroslav
    Programový systém pro univerzální funkcionální optimalizaci.
    [Software System for Universal Functional Optimization.]
    Aplikace numerických metod v problematice podzemního skladování zemního plynu a v ložiskovém inženýrství. Praha: Český plynárenský svaz, 2003, nestr.
    [Aplikace numerických metod v problematice podzemního skladování zemního plynu a v ložiskovém inženýrstvíí. Mezinárodní workshop /2./. Lázně Libverda (CZ), 23.03.2003-25.03.2003]
    R&D Projects: GA AV ČR IAA1030103
    Institutional research plan: AV0Z1030915
    Keywords : optimization * large and sparse problems * variable-metric methods
    Subject RIV: BA - General Mathematics
    Permanent Link: http://hdl.handle.net/11104/0125142
     
     
  7. 7.
    0404131 - UIVT-O 20000234 RIV CZ eng C - Conference Paper (international conference)
    Lukšan, Ladislav - Vlček, Jan
    Preconditioning of Saddle Point Systems.
    Proceedings of the 1st International Workshop on Simulation, Modelling, and Numerical Analysis. Liberec: Technická univerzita, 2000 - (Maryška, J.; Tůma, M.; Šembera, J.), s. 83-92. ISBN 80-7083-451-X.
    [SIMONA 2000. Liberec (CZ), 04.09.2000-06.09.2000]
    R&D Projects: GA ČR GA201/00/0080
    Institutional research plan: AV0Z1030915
    Subject RIV: BA - General Mathematics
    Permanent Link: http://hdl.handle.net/11104/0124400
     
     
  8. 8.
    0403741 - UIVT-O 20000027 RIV CZ eng C - Conference Paper (international conference)
    Vlček, Jan - Lukšan, Ladislav
    Variable Metric Method for Nonconvex Nonsmooth Unconstrained Minimization.
    Proceedings of the XIIIth summer school software and algorithms of numerical mathematics. Plzeň: University of West Bohemia, 1999, s. 321-326. ISBN 80-7082-566-9.
    [SANM'99. Summer School on Software and Algorithms of Numerical Mathematics /13./. Nečtiny (CZ), 06.09.1999-10.09.1999]
    R&D Projects: GA AV ČR IAA2030706
    Institutional research plan: AV0Z1030915
    Keywords : nonsmooth minimization * nonconvex minimization * numerical methods * variable metric methods * global convergence
    Subject RIV: BA - General Mathematics
    Permanent Link: http://hdl.handle.net/11104/0124034
     
     
  9. 9.
    0403740 - UIVT-O 20000026 RIV CZ eng C - Conference Paper (international conference)
    Lukšan, Ladislav - Vlček, Jan
    Conjugate Gradient Methods for Saddle Point Systems.
    Proceedings of the XIIIth summer school software and algorithms of numerical mathematics. Plzeň: University of West Bohemia, 1999, s. 223-230. ISBN 80-7082-566-9.
    [SANM'99. Summer School on Software and Algorithms of Numerical Mathematics /13./. Nečtiny (CZ), 06.09.1999-10.09.1999]
    R&D Projects: GA AV ČR IAA2030706
    Institutional research plan: AV0Z1030915
    Subject RIV: BA - General Mathematics
    Permanent Link: http://hdl.handle.net/11104/0124033
     
     
  10. 10.
    0402815 - UIVT-O 970012 CZ eng C - Conference Paper (international conference)
    Lukšan, Ladislav - Vlček, Jan
    Globally Convergent Methods with Inexact Jacobians for Systems of Nonlinear Equations.
    Proceedings of the Prague Mathematical Conference 1996. Prague: ICARIS, 1996, s. 159-164.
    [PMC'96. Prague (CZ), 08.07.1996-12.07.1996]
    R&D Projects: GA ČR GA201/93/0429
    Keywords : nonlinear equations * Newton-like methods * Armijo-type descent methods * trust region methods * global convergence * preconditioned smoothed CGS method * algorithms
    Permanent Link: http://hdl.handle.net/11104/0123191
     
     

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