Search results
- 1.0545840 - ÚI 2022 RIV US eng J - Journal Article
Vlček, Jan - Lukšan, Ladislav
Two limited-memory optimization methods with minimum violation of the previous secant conditions.
Computational Optimization and Applications. Roč. 80, č. 3 (2021), s. 755-780. ISSN 0926-6003. E-ISSN 1573-2894
Institutional support: RVO:67985807
Keywords : Unconstrained minimization * Variable metric methods * Limited-memory methods * Variationally derived methods * Global convergence * Numerical results
OECD category: Applied mathematics
Impact factor: 2.005, year: 2021
Method of publishing: Limited access
http://dx.doi.org/10.1007/s10589-021-00318-y
Permanent Link: http://hdl.handle.net/11104/0322481 - 2.0497050 - ÚI 2020 RIV NL eng J - Journal Article
Vlček, Jan - Lukšan, Ladislav
A Limited-memory Optimization Method Using the Infinitely Many Times Repeated BNS Update and Conjugate Directions.
Journal of Computational and Applied Mathematics. Roč. 351, 1 May (2019), s. 14-28. ISSN 0377-0427. E-ISSN 1879-1778
Institutional support: RVO:67985807
Keywords : Unconstrained minimization * Limited-memory variable metric methods * The repeated Byrd–Nocedal–Schnabel update * The Lyapunov matrix equation * Global convergence * Numerical results
OECD category: Applied mathematics
Impact factor: 2.037, year: 2019
Method of publishing: Limited access
http://dx.doi.org/10.1016/j.cam.2018.10.054
Permanent Link: http://hdl.handle.net/11104/0289654 - 3.0488869 - ÚI 2020 RIV NL eng J - Journal Article
Vlček, Jan - Lukšan, Ladislav
Properties of the block BFGS update and its application to the limited-memory block BNS method for unconstrained minimization.
Numerical Algorithms. Roč. 80, č. 3 (2019), s. 957-987. ISSN 1017-1398. E-ISSN 1572-9265
R&D Projects: GA ČR GA13-06684S
Institutional support: RVO:67985807
Keywords : Unconstrained minimization * Block variable metric methods * Limited-memory methods * BFGS update * Global convergence * Numerical results
OECD category: Applied mathematics
Impact factor: 2.064, year: 2019
Method of publishing: Limited access
http://dx.doi.org/10.1007/s11075-018-0513-3
Permanent Link: http://hdl.handle.net/11104/0283390 - 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 - 5.0442775 - ÚI 2016 RIV GB eng J - Journal Article
Vlček, Jan - Lukšan, Ladislav
A Modified Limited-Memory BNS Method for Unconstrained Minimization Based on the Conjugate Directions Idea.
Optimization Methods & Software. Roč. 30, č. 3 (2015), s. 616-633. ISSN 1055-6788. E-ISSN 1029-4937
R&D Projects: GA ČR GA13-06684S
Institutional support: RVO:67985807
Keywords : unconstrained minimization * variable metric methods * limited-memory methods * the BFGS update * conjugate directions * numerical results
Subject RIV: BA - General Mathematics
Impact factor: 0.841, year: 2015
Permanent Link: http://hdl.handle.net/11104/0245614File Download Size Commentary Version Access 0442775.pdf 1 750.5 KB Author´s preprint require a0442775.pdf 8 721.9 KB Publisher’s postprint require - 6.0427366 - ÚI 2015 RIV US eng J - Journal Article
Lukšan, Ladislav - Vlček, Jan
Efficient Tridiagonal Preconditioner for the Matrix-Free Truncated Newton Method.
Applied Mathematics and Computation. Roč. 235, 25 May (2014), s. 394-407. ISSN 0096-3003. E-ISSN 1873-5649
R&D Projects: GA ČR GA13-06684S
Institutional support: RVO:67985807
Keywords : unconstrained optimization * large scale optimization * matrix-free truncated Newton method * preconditioned conjugate gradient method * preconditioners obtained by the directional differentiation * numerical algorithms
Subject RIV: BA - General Mathematics
Impact factor: 1.551, year: 2014
Permanent Link: http://hdl.handle.net/11104/0232910 - 7.0405454 - UIVT-O 330829 RIV IT eng J - Journal Article
Lukšan, Ladislav - Spedicato, E.
A Globally Convergent Nonlinear ABS Algorithm, Theory and Numerical Experiments.
[Globální konvergentní nelineární ABS metoda. Teorie a Numerické experimenty.]
Ricerca Operativa. Roč. 31, - (2001), s. 11-19. ISSN 0390-8127
R&D Projects: GA ČR GA201/00/0080
Institutional research plan: CEZ:AV0Z1030915
Keywords : nonlinear equations * ABS methods * global convergence * algorithms
Subject RIV: BA - General Mathematics
Permanent Link: http://hdl.handle.net/11104/0125618 - 8.0405316 - UIVT-O 330687 RIV NL eng J - Journal Article
Vlček, Jan - Lukšan, Ladislav
Shifted Limited-Memory Variable Metric Methods for Large-Scale Unconstrained Optimization.
[Posunuté metody s proměnnou metrikou s omezenou pamětí pro velkou řídkou neomezenou optimalizaci.]
Journal of Computational and Applied Mathematics. Roč. 186, č. 2 (2006), s. 365-390. ISSN 0377-0427. E-ISSN 1879-1778
R&D Projects: GA AV ČR IAA1030405
Institutional research plan: CEZ:AV0Z10300504
Keywords : unconstrained minimization * variable metric methods * limited-memory methods * global convergence * numerical results
Subject RIV: BA - General Mathematics
Impact factor: 0.759, year: 2006
Permanent Link: http://hdl.handle.net/11104/0125489 - 9.0405206 - UIVT-O 330373 RIV US eng J - Journal Article
Lukšan, Ladislav - Matonoha, Ctirad - Vlček, Jan
Interior Point Methods for Large-Scale Nonlinear Programming.
[Metody vnitřních bodů pro velké řídké úlohy nelineárního programování.]
Optimization Methods & Software. Roč. 20, č. 4-5 (2005), s. 569-582. ISSN 1055-6788. E-ISSN 1029-4937
R&D Projects: GA AV ČR IAA1030405
Institutional research plan: CEZ:AV0Z10300504
Keywords : nonlinear programming * interior point methods * KKT systems * indefinite preconditioners * filter methods * algorithms
Subject RIV: BA - General Mathematics
Impact factor: 0.477, year: 2005
Permanent Link: http://hdl.handle.net/11104/0125399 - 10.0404561 - UIVT-O 20010178 RIV US eng J - Journal Article
Lukšan, Ladislav - Vlček, Jan
Algorithm 811: NDA: Algorithms for Nondifferentiable Optimization.
ACM Transactions on Mathematical Software. Roč. 27, č. 2 (2001), s. 193-213. ISSN 0098-3500. E-ISSN 1557-7295
R&D Projects: GA ČR GA201/00/0080
Institutional research plan: AV0Z1030915
Keywords : minimax optimization * discrete Chebyshev approximation * sequential quadratic programming methods * variable metric methods * general linear constraints
Subject RIV: BA - General Mathematics
Impact factor: 0.649, year: 2001
Permanent Link: http://hdl.handle.net/11104/0124809