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- 1.0556726 - ÚI 2023 RIV CH eng C - Conference Paper (international conference)
Matonoha, Ctirad - Moskovka, A. - Valdman, Jan
Minimization of p-Laplacian via the Finite Element Method in MATLAB.
Large-Scale Scientific Computing. Cham: Springer, 2022 - (Lirkov, I.; Margenov, S.), s. 533-540. Lecture Notes in Computer Science, 13127. ISBN 978-3-030-97548-7. ISSN 0302-9743.
[LSSC 2021: International Conference on Large-Scale Scientific Computations /13./. Sozopol (BG), 07.06.2021-11.06.2021]
R&D Projects: GA MŠMT 8J21AT001; GA ČR GA18-03834S
Institutional support: RVO:67985807 ; RVO:67985556
Keywords : Finite elements * Energy functional * Trust-region methods * p-Laplace equation * MATLAB code vectorization
OECD category: Pure mathematics; Applied mathematics (UTIA-B)
http://dx.doi.org/10.1007/978-3-030-97549-4_61
Permanent Link: http://hdl.handle.net/11104/0330880 - 2.0504615 - ÚI 2020 CZ eng V - Research Report
Lukšan, Ladislav - Matonoha, Ctirad - Vlček, Jan
Hybrid Methods for Nonlinear Least Squares Problems.
Prague: ICS CAS, 2019. 50 s. Technical Report, V-1246.
Institutional support: RVO:67985807
Keywords : numerical optimization * nonlinear least squares * trust region methods * hybrid methods * sparse problems * partially separable problems * numerical experiments
OECD category: Applied mathematics
Permanent Link: http://hdl.handle.net/11104/0296201File Download Size Commentary Version Access 0504615-av1.pdf 33 352.7 KB Verze 05/2019 Other open-access - 3.0497192 - 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/11104/0289769File Download Size Commentary Version Access 0497192a.pdf 3 103.1 KB Publisher’s postprint require - 4.0473663 - ÚI 2018 RIV CZ eng J - Journal Article
Lukšan, Ladislav - Vlček, Jan
New Quasi-Newton Method for Solving Systems of Nonlinear Equations.
Applications of Mathematics. Roč. 62, č. 2 (2017), s. 121-134. ISSN 0862-7940. E-ISSN 1572-9109
R&D Projects: GA ČR GA13-06684S
Institutional support: RVO:67985807
Keywords : nonlinear equations * systems of equations * trust-region methods * quasi-Newton methods * adjoint Broyden methods * numerical algorithms * numerical experiments
OECD category: Applied mathematics
Impact factor: 0.897, year: 2017
http://hdl.handle.net/10338.dmlcz/146699
Permanent Link: http://hdl.handle.net/11104/0270795 - 5.0462543 - ÚI 2017 CZ eng V - Research Report
Lukšan, Ladislav - Vlček, Jan
New Quasi-Newton Method for Solving Systems of Nonlinear Equations.
Prague: ICS CAS, 2016. 10 s. Technical Report, V-1233.
R&D Projects: GA ČR GA13-06684S
Institutional support: RVO:67985807
Keywords : nonlinear equations * systems of equations * trust-region methods * quasi-Newton methods * adjoint Broyden methods * numerical algorithms * numerical experiments
Subject RIV: BA - General Mathematics
Permanent Link: http://hdl.handle.net/11104/0261979File Download Size Commentary Version Access v1233-16.pdf 68 108.2 KB Other open-access - 6.0405609 - UIVT-O 330991 RIV CZ eng K - Conference Paper (Czech conference)
Matonoha, Ctirad
Nonlinear Optimization Problem.
[Nelineární optimalizační problém.]
Programs and Algorithms of Numerical Mathematics. Praha: Matematický ústav AV ČR, 2004 - (Chleboun, J.; Přikryl, P.; Segeth, K.), s. 162-168. ISBN 80-85823-53-5.
[Programy a algoritmy numerické matematiky /12./. Dolní Maxov (CZ), 06.06.2004-11.06.2004]
Institutional research plan: CEZ:AV0Z1030915
Keywords : optimization * trust region methods
Subject RIV: BA - General Mathematics
Permanent Link: http://hdl.handle.net/11104/0125759 - 7.0404051 - 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 - 8.0402815 - 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 - 9.0402792 - UIVT-O 981039 US eng J - Journal Article
Lukšan, Ladislav - Vlček, Jan
Truncated Trust Region Methods Based on Preconditioned Iterative Subalgorithms for Large Sparse Systems of Nonlinear Equations.
Journal of Optimization Theory and Applications. Roč. 95, č. 3 (1997), s. 637-658. ISSN 0022-3239. E-ISSN 1573-2878
R&D Projects: GA ČR GA201/96/0918
Keywords : nonlinear equations * trust region methods * global convergence * inexact Jacobians * nonsymetric linear systems * conjugate gradient-type methods * residual smoothing
Impact factor: 0.537, year: 1997
Permanent Link: http://hdl.handle.net/11104/0123174 - 10.0402788 - UIVT-O 960095 CZ eng V - Research Report
Lukšan, Ladislav - Vlček, Jan
Inexact Trust Region Methods Based on Preconditioned Iterative Subalgorithms for Large Sparse Systems of Nonlinear Equations.
Prague: ICS AS CR, 1996. 18 s. Technical Report, V-667.
R&D Projects: GA ČR GA201/96/0918
Keywords : nonlinear equations * trust region methods * global convergence * inexact Jacobians * nonsymetric linear systems * conjugate gradient-type methods * residual smoothing
Permanent Link: http://hdl.handle.net/11104/0123170File Download Size Commentary Version Access v667-96.pdf 21 216.8 KB Other open-access