Lukšan Ladislav

Publikace ASEP

RIV ID 8533598          

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Nalezeno záznamů: 206

0404044 - UIVT-O 20000179 IT eng V - Výzkumná zpráva
Bodon, E. - Lukšan, Ladislav - Spedicato, E.
Computational Experiments with ABS Algorithms for Determined and Underdetermined Linear Systems.
Bergamo: Universita degli Studi di Bergamo, 2000. 27 s. Technical Report, DMSIA 2000/21.
Grant CEP: GA ČR GA201/00/0080
Výzkumný záměr: AV0Z1030915
Trvalý odkaz: http://hdl.handle.net/11104/0124324

Citace, recenze

Citace:
Del Popolo A, Li X, Liu Y. C++ codes of implicit LU algorithms for ABSDLL01. in : Manuscript., (2005)

0404043 - UIVT-O 20000178 IT eng V - Výzkumná zpráva
Bodon, E. - Del Popolo, A. - Lukšan, Ladislav - Spedicato, E.
Computational Experiments with ABS Algorithms for KKT Linear Systems.
Bergamo: Universita degli Studi di Bergamo, 2000. 12 s. Technical Report, DMSIA 2000/20.
Grant CEP: GA ČR GA201/00/0080
Výzkumný záměr: AV0Z1030915
Trvalý odkaz: http://hdl.handle.net/11104/0124323

0404488 - UIVT-O 20010143 RIV US eng J - Článek v odborném periodiku
Bodon, E. - Del Popolo, A. - Lukšan, Ladislav - Spedicato, E.
Computational Experiments with ABS Algorithms for KKT Linear Systems.
Optimization Methods & Software. Roč. 16, č. 1-4 (2001), s. 85-99. ISSN 1055-6788
Grant CEP: GA ČR GA201/00/0080
Výzkumný záměr: AV0Z1030915
Klíčová slova: ABS algorithms * KKT systems
Kód oboru RIV: BB - Aplikovaná statistika, operační výzkum
Impakt faktor: 0.623, rok: 2001
Trvalý odkaz: http://hdl.handle.net/11104/0124741

0404042 - UIVT-O 20000177 IT eng V - Výzkumná zpráva
Bodon, E. - Del Popolo, A. - Lukšan, Ladislav - Spedicato, E.
Computational Experiments with ABS Algorithms for Overdetermined Linear Systems.
Bergamo: Universita degli Studi di Bergamo, 2000. 14 s. Technical Report, DMSIA 2000/19.
Grant CEP: GA ČR GA201/00/0080
Výzkumný záměr: AV0Z1030915
Trvalý odkaz: http://hdl.handle.net/11104/0124322

0404489 - UIVT-O 20010144 IT eng V - Výzkumná zpráva
Bodon, E. - Lukšan, Ladislav - Spedicato, E.
Computational Experiments with Conjugate Type ABS Algorithms.
Bergamo: Universita degli Studi di Bergamo, 2001. 13 s. Technical Report, DMSIA 2001/26.
Grant CEP: GA ČR GA201/00/0080
Výzkumný záměr: AV0Z1030915
Klíčová slova: linear equations * ABS methods * conjugate type algorithms * computational experiments
Kód oboru RIV: BA - Obecná matematika
Trvalý odkaz: http://hdl.handle.net/11104/0124742

0403743 - UIVT-O 20000029 CZ eng V - Výzkumná zpráva
Bodon, E. - Lukšan, Ladislav - Spedicato, E.
Computational Experiments with Linear ABS Algorithms.
Prague: ICS AS CR, 2000. 39 s. Technical Report, V-817.
Grant CEP: GA ČR GA201/00/0080
Výzkumný záměr: AV0Z1030915
Trvalý odkaz: http://hdl.handle.net/11104/0124036

Citace, recenze

Citace:
Del Popolo A, Li X, Liu Y. C++ codes of implicit LU algorithms for ABSDLL01. in : Manuscript., (2005)

0404490 - UIVT-O 20010145 IT eng V - Výzkumná zpráva
Bodon, E. - Lukšan, Ladislav - Spedicato, E.
Numerical Performance of ABS Codes for Nonlinear Least Squares.
Bergamo: Universita degli Studi di Bergamo, 2001. 18 s. Technical Report, DMSIA 2001/27.
Grant CEP: GA ČR GA201/00/0080
Výzkumný záměr: AV0Z1030915
Klíčová slova: nonlinear least squares * algorithms * test problems * ABS methods * computational experiments
Kód oboru RIV: BA - Obecná matematika
Trvalý odkaz: http://hdl.handle.net/11104/0124743

Citace, recenze

Citace:
DEL PIERO, S. - MELCHIOR, A. - POLESE, P. - PORTANOVA, R. - TOLAZZI, M. A novel multipurpose excel tool for equilibrium speciation based on Newton-Raphson method and on a hybrid genetic algorithm. ANNALI DI CHIMICA. ISSN 0003-4592, JAN-FEB 2006, vol. 96, no. 1-2, p. 29-49.

0404041 - UIVT-O 20000176 IT eng V - Výzkumná zpráva
Bodon, E. - Del Popolo, A. - Lukšan, Ladislav - Spedicato, E.
Numerical Performance of ABS Codes for Systems of Nonlinear Equations.
Bergamo: Universita degli Studi di Bergamo, 2001. 15 s. Technical Report, DMSIA 2001/1.
Grant CEP: GA ČR GA201/00/0080
Výzkumný záměr: AV0Z1030915
Trvalý odkaz: http://hdl.handle.net/11104/0124321

Citace, recenze

Citace:
RAMADAS, G.C.V. - FERNANDES, E.M.G.P. Self-adaptive combination of global tabu search and local search for nonlinear equations. INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS. ISSN 0020-7160, 2012, vol. 89, no. 13-14, SI, p. 1847-1864.

0092201 - UIVT-O 2008 SIGLE CZ eng V - Výzkumná zpráva
Hartman, J. - Lukšan, Ladislav - Zítko, J.
Automatic Differentiation and its Program Realization.
Prague: ICS AS CR, 2007. 14 s. Technical Report, V-992.
Grant CEP: GA AV ČR IAA1030405
Výzkumný záměr: CEZ:AV0Z10300504
Klíčová slova: automatic differentiation * modeling languages * systems of optimization
Kód oboru RIV: BA - Obecná matematika
Trvalý odkaz: http://hdl.handle.net/11104/0152588

0310704 - UIVT-O 2010 RIV CZ eng J - Článek v odborném periodiku
Hartman, J. - Lukšan, Ladislav - Zítko, J.
Automatic Differentiation and its Program Realization.
[Automatické derivování a jeho programová realizace.]
Kybernetika. Roč. 45, č. 5 (2009), s. 865-883. ISSN 0023-5954
Grant CEP: GA AV ČR IAA1030405
Výzkumný záměr: CEZ:AV0Z10300504
Klíčová slova: automatic differentiation * modeling languages * systems of optimization
Kód oboru RIV: BA - Obecná matematika
Impakt faktor: 0.445, rok: 2009
http://dml.cz/handle/10338.dmlcz/140037
Trvalý odkaz: http://hdl.handle.net/11104/0162483

0092202 - UIVT-O 2008 SIGLE CZ cze V - Výzkumná zpráva
Hartman, J. - Lukšan, Ladislav
Implementace automatického derivování v systému UFO.
Prague: ICS AS CR, 2007. 37 s. Technical Report, V-1002.
Grant CEP: GA AV ČR IAA1030405
Výzkumný záměr: CEZ:AV0Z10300504
Klíčová slova: automatic differentiation * modeling languages * systems for optimization
Kód oboru RIV: BA - Obecná matematika
Trvalý odkaz: http://hdl.handle.net/11104/0152589

0381681 - UIVT-O 2013 CZ eng V - Výzkumná zpráva
Královcová, J. - Lukšan, Ladislav - Mlýnek, J.
Exposure optimization for warming of shapes in the automotive industry.
Prague: ICS AS CR, 2010. 13 s. Technical Report, V-1080.
Grant CEP: GA MŠk 1M0554
Výzkumný záměr: CEZ:AV0Z10300504
Klíčová slova: numerical mathematics * applied mathematics * optimization methods * automotive industry
Kód oboru RIV: BA - Obecná matematika
Trvalý odkaz: http://hdl.handle.net/11104/0216973

0384440 - UIVT-O 2013 RIV CZ eng K - Konferenční příspěvek (tuzemská konf.)
Královcová, J. - Lukšan, Ladislav - Mlýnek, J.
Heat exposure optimization applied to moulding process in the automotive industry.
Programs and Algorithms of Numerical Matematics 16. Prague: Institute of Mathematics, Academy of Sciences of the Czech Republic, 2013 - (Chleboun, J.; Segeth, K.; Šístek, J.; Vejchodský, T.), s. 118-123. ISBN 978-80-85823-62-2.
[Programy a algoritmy numerické matematiky /16./. Dolní Maxov (CZ), 03.06.2012-08.06.2012]
Institucionální podpora: RVO:67985807
Klíčová slova: heat exposure * moulding process * constrained optimization * applied optimization * numerical solution
Kód oboru RIV: BA - Obecná matematika
http://users.math.cas.cz/~panm/Panm16/proceedings_final/118_luksan.pdf
Královcová, J.
Trvalý odkaz: http://hdl.handle.net/11104/0214092

0322751 - UIVT-O 2009 SIGLE CZ cze V - Výzkumná zpráva
Královcová, J. - Lukšan, Ladislav - Mlýnek, J.
Optimalizace osvitu pro tepelný ohřev forem v automobilovém průmyslu.
Prague: ICS AS CR, 2009. 20 s. Technical Report, V-1050.
Grant CEP: GA MŠk 1M0554
Výzkumný záměr: CEZ:AV0Z10300504
Klíčová slova: model osvitu plochy * optimalizace * nelineární programování * metoda rekursivního kvadratického programování * softwarová realizace * optimalizační systém UFO
Kód oboru RIV: BA - Obecná matematika
Trvalý odkaz: http://hdl.handle.net/11104/0170917

0402702 - UIVT-O 960049 CZ eng V - Výzkumná zpráva
Lukšan, Ladislav - Vlček, Jan
A Bundle-Newton Method for Nonsmooth Unconstrained Minimization.
Prague: ICS AS CR, 1996. 15 s. Technical Report, V-654.
Grant CEP: GA ČR GA201/93/0429
Klíčová slova: nondifferentiable minimization * numerical methods * quadratic approximation * global convergence * superlinear convergence
Trvalý odkaz: http://hdl.handle.net/11104/0123088

Citace, recenze

Citace:
Gries A. Bundleverfahren unter Einbeziehung von Elementen zweiter Ordnung. in : Diplomarbeit. Nürnberg : Friedrich-Alexander Universität Erlangen, (1998)

0402814 - UIVT-O 970011 CZ eng C - Konferenční příspěvek (zahraniční konf.)
Lukšan, Ladislav - Vlček, Jan
A Bundle-Newton Method for Nonsmooth Unconstrained Minimization.
Proceedings of the Prague Mathematical Conference 1996. Prague: ICARIS, 1996, s. 165-170.
[PMC'96. Prague (CZ), 08.07.1996-12.07.1996]
Grant CEP: GA ČR GA201/93/0429
Klíčová slova: nondifferentiable minimization * numerical methods * quadratic approximation * global convergence * superlinear convergence
Trvalý odkaz: http://hdl.handle.net/11104/0123190

0403245 - UIVT-O 980020 RIV NL eng J - Článek v odborném periodiku
Lukšan, Ladislav - Vlček, Jan
A Bundle-Newton Method for Nonsmooth Unconstrained Minimization.
Mathematical Programming. Roč. 83, č. 1-3 (1998), s. 373-391. ISSN 0025-5610
Grant CEP: GA ČR GA201/93/0429
Klíčová slova: nondifferentiable minimization * numerical methods * quadratic approximation * global convergence * superlinear convergence
Kód oboru RIV: BB - Aplikovaná statistika, operační výzkum
Impakt faktor: 1.052, rok: 1998
Trvalý odkaz: http://hdl.handle.net/11104/0123565

Citace, recenze

Citace:
Frangioni A. Generalized bundle methods. Technical report TR-00-18. : Dipartimento di Informatica, Universita di Pisa,
Grothey A, 1998, McKinnon K. A superlinearly convergent trust region bundle method. Technical report MS 98-015. : University of Edinburgh,
Teel A.R. Lyapunov methods in nonsmooth optimization. Part 1: Quasi-Newton algorithms for Lipschitz, regular functions. Preprint, ECE Department. : University of California, Santa Barbara CA93106,
Grothey A, , Leyffer S, , McKinnon K.I.M. A note of feasibility in Benders decomposition. Report NA/188. : Dept. of mathematics, University of Dundee
Haarala M, Miettinen K, 2003, Mäkelä M.M. Large -scale nonsmooth optimization: new variable metric bundle algorithm with limited memory. Report B 6/2003. Jyväskylä : Department of Mathematical Information Technlogy,
Bonnans J.F, Gilbert J.C, Lemaréchal C, 2003, Sagastizábal C.A. Numerical Optimization. Theoretical and Practical Aspects. Berlin : Springer,
Haarala M. Large-Scale Nonsmooth Optimization: Variable Metric bundle Method with limited Memory. PhD. Thesis. : University of Jyväskylä,
BURKE, J.V. - LEWIS, A.S. - OVERTON, M.L. A robust gradient sampling algorithm for nonsmooth, nonconvex optimization. SIAM JOURNAL ON OPTIMIZATION. ISSN 1052-6234, 2005, vol. 15, no. 3, p. 751-779.
BONNANS, J.F. - GUILBAUD, T. - KETFI-CHERIF, A. - VON Wissel, .D. - SAGASTIZABAL, C. - ZIDANI, H. Parametric optimization of hybrid car engines. OPTIMIZATION AND ENGINEERING. ISSN 1389-4420, DEC 2004, vol. 5, no. 4, p. 395-415.
BANIOTOPOULOS, C.C. - HASLINGER, J. - MORVAKOVA, Z. Contact problems with nonmonotone friction: discretization and numerical realization. COMPUTATIONAL MECHANICS. ISSN 0178-7675, JUN 2007, vol. 40, no. 1, p. 157-165.
TEO, C.H. - VISHWANATHAN, S.V.N. - SMOLA, A. - LE, Q.V. Bundle Methods for Regularized Risk Minimization. JOURNAL OF MACHINE LEARNING RESEARCH. ISSN 1532-4435, JAN 2010, vol. 11, p. 311-365.
SESTAK, I. - JOVANOVIC, B.S. Approximation of thermoelasticity contact problem with nonmonotone friction. APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION. ISSN 0253-4827, JAN 2010, vol. 31, no. 1, p. 77-86.
BELLONI, A. - SAGASTIZABAL, C. Dynamic bundle methods. MATHEMATICAL PROGRAMMING. ISSN 0025-5610, SEP 2009, vol. 120, no. 2, p. 289-311.
NOLL, D. - PROT, O. - RONDEPIERRE, A. A proximity control algorithm to minimize nonsmooth and nonconvex functions. PACIFIC JOURNAL OF OPTIMIZATION. ISSN 1348-9151, SEP 2008, vol. 4, no. 3, p. 571-604.
HARE, W. - SAGASTIZABAL, C. Computing proximal points of nonconvex functions. MATHEMATICAL PROGRAMMING. ISSN 0025-5610, JAN 2009, vol. 116, no. 1-2, p. 221-258.
KARAS, E. - RIBEIRO, A. - SAGASTIZABAL, C. - SOLODOV, M. A bundle-filter method for nonsmooth convex constrained optimization. MATHEMATICAL PROGRAMMING. ISSN 0025-5610, JAN 2009, vol. 116, no. 1-2, p. 297-320.
HAARALA, M. - MIETTINEN, K. - MAKELA, M.M. New limited memory bundle method for large-scale nonsmooth optimization. OPTIMIZATION METHODS & SOFTWARE. ISSN 1055-6788, DEC 2004, vol. 19, no. 6, p. 673-692.
FRANGIONI, A. Generalized bundle methods. SIAM JOURNAL ON OPTIMIZATION. ISSN 1052-6234, SEP 5 2002, vol. 13, no. 1, p. 117-156.
MAKELA, M.M. Survey of bundle methods for nonsmooth optimization. OPTIMIZATION METHODS & SOFTWARE. ISSN 1055-6788, FEB 2002, vol. 17, no. 1, p. 1-29.
KARKKAINEN, T. - MAJAVA, K. - MAKELA, M.M. Comparison of formulations and solution methods for image restoration problems. INVERSE PROBLEMS. ISSN 0266-5611, DEC 2001, vol. 17, no. 6, p. 1977-1995.
TEEL, A.R. Lyapunov methods in nonsmooth optimization, Part I: Quasi-Newton algorithms for Lipschitz, regular functions. PROCEEDINGS OF THE 39TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-5. ISSN 0191-2216, 2000, p. 110-117.
HASLINGER, J. - MIETTINEN, M. Finite element approximation of hemivariational inequalities. JOURNAL OF GLOBAL OPTIMIZATION. ISSN 0925-5001, SEP 2000, vol. 17, no. 1-4, p. 167-183.
Hare LW, Sagastizabal C. Benchmark of Some Nonsmooth Optimization Solvers for Computing Nonconvex Proximal Points. Pacific Journal of Optimization, 2 (2006), 545–573.
XU, L. - BALDICK, R. - SUTJANDRA, Y. Transmission-Constrained Inverse Residual Demand Jacobian Matrix in Electricity Markets. IEEE TRANSACTIONS ON POWER SYSTEMS. ISSN 0885-8950, NOV 2011, vol. 26, no. 4, p. 2311-2318.
BAGIROV, A.M. - UGON, J. Codifferential method for minimizing nonsmooth DC functions. JOURNAL OF GLOBAL OPTIMIZATION. ISSN 0925-5001, MAY 2011, vol. 50, no. 1, SI, p. 3-22.
ASTORINO, A. - FRANGIONI, A. - GAUDIOSO, M. - GORGONE, E. PIECEWISE-QUADRATIC APPROXIMATIONS IN CONVEX NUMERICAL OPTIMIZATION. SIAM JOURNAL ON OPTIMIZATION. ISSN 1052-6234, 2011, vol. 21, no. 4, p. 1418-1438.
STEPHAN, E.P. Finite Element and Boundary Element Approaches to Transmission and Contact Problems in Elasticity. MODELLING, SIMULATION AND SOFTWARE CONCEPTS FOR SCIENTIFIC-TECHNOLOGICAL PROBLEMS. ISSN 1613-7736, 2011, vol. 57, p. 181-199.
STUBER, M.D. - KUMAR, V. - BARTON, P.I. Nonsmooth exclusion test for finding all solutions of nonlinear equations. BIT NUMERICAL MATHEMATICS. ISSN 0006-3835, DEC 2010, vol. 50, no. 4, p. 885-917.
BAGIROV, A.M. - GANJEHLOU, A.N. - UGON, J. - TOR, A.H. TRUNCATED CODIFFERENTIAL METHOD FOR NONSMOOTH CONVEX OPTIMIZATION. PACIFIC JOURNAL OF OPTIMIZATION. ISSN 1348-9151, SEP 2010, vol. 6, no. 3, p. 483-496.
BAGIROV, A.M. - GANJEHLOU, A.N. A quasisecant method for minimizing nonsmooth functions. OPTIMIZATION METHODS & SOFTWARE. ISSN 1055-6788, 2010, vol. 25, no. 1, p. 3-18.
GAUDIOSO, M. - GORGONE, E. Gradient set splitting in nonconvex nonsmooth numerical optimization. OPTIMIZATION METHODS & SOFTWARE. ISSN 1055-6788, 2010, vol. 25, no. 1, p. 59-74.
HARE, W. - SAGASTIZABAL, C. A REDISTRIBUTED PROXIMAL BUNDLE METHOD FOR NONCONVEX OPTIMIZATION. SIAM JOURNAL ON OPTIMIZATION. ISSN 1052-6234, 2010, vol. 20, no. 5, p. 2442-2473.
BAGIROV, A.M. - JIN, L. - KARMITSA, N. - AL NUAIMAT, A. - SULTANOVA, N. Subgradient Method for Nonconvex Nonsmooth Optimization. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS. ISSN 0022-3239, MAY 2013, vol. 157, no. 2, p. 416-435.
LI, Q. Conjugate gradient type methods for the nondifferentiable convex minimization. OPTIMIZATION LETTERS. ISSN 1862-4472, MAR 2013, vol. 7, no. 3, p. 533-545.
YUAN, G.L. - WEI, Z.X. - WANG, Z.X. Gradient trust region algorithm with limited memory BFGS update for nonsmooth convex minimization. COMPUTATIONAL OPTIMIZATION AND APPLICATIONS. ISSN 0926-6003, JAN 2013, vol. 54, no. 1, p. 45-64.
NESEMANN, L. - STEPHAN, E.P. Numerical solution of an adhesion problem with FEM and BEM. APPLIED NUMERICAL MATHEMATICS. ISSN 0168-9274, MAY 2012, vol. 62, no. 5, p. 606-619.
YUAN, G.L. - WEI, Z.X. The Barzilai and Borwein Gradient Method with Nonmonotone Line Search for Nonsmooth Convex Optimization Problems. MATHEMATICAL MODELLING AND ANALYSIS. ISSN 1392-6292, APR 2012, vol. 17, no. 2, p. 203-216.
KARMITSA, N. - BAGIROV, A. - MAKELA, M.M. Comparing different nonsmooth minimization methods and software. OPTIMIZATION METHODS & SOFTWARE. ISSN 1055-6788, 2012, vol. 27, no. 1, p. 131-153.
SESTAK, I. - JOVANOVIC, B.S. Approximation of Thermoelasticity Frictional Contact Problem with Hemivariational Inequality. APPLICATIONS OF MATHEMATICS IN ENGINEERING AND ECONOMICS (AMEE '09). ISSN 0094-243X, 2009, vol. 1184, p. 49-56.
YANG, Y. - PANG, L.P. - MA, X.F. - SHEN, J. Constrained Nonconvex Nonsmooth Optimization via Proximal Bundle Method. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS. ISSN 0022-3239, DEC 2014, vol. 163, no. 3, p. 900-925.
BURACHIK, R.S. - FREIRE, W.P. - KAYA, C.Y. Interior Epigraph Directions method for nonsmooth and nonconvex optimization via generalized augmented Lagrangian duality. JOURNAL OF GLOBAL OPTIMIZATION. ISSN 0925-5001, NOV 2014, vol. 60, no. 3, p. 501-529.
KHAN, K.A. - BARTON, P.I. Generalized Derivatives for Solutions of Parametric Ordinary Differential Equations with Non-differentiable Right-Hand Sides. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS. ISSN 0022-3239, NOV 2014, vol. 163, no. 2, p. 355-386.
LI, D. - PANG, L.P. - CHEN, S. A proximal alternating linearization method for nonconvex optimization problems. OPTIMIZATION METHODS & SOFTWARE. ISSN 1055-6788, JUL 4 2014, vol. 29, no. 4, p. 771-785.
TOR, A.H. - BAGIROV, A. - KARASOZEN, B. Aggregate codifferential method for nonsmooth DC optimization. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. ISSN 0377-0427, MAR 15 2014, vol. 259, B, p. 851-867.
HARE, W.L. - LUCET, Y. Derivative-Free Optimization Via Proximal Point Methods. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS. ISSN 0022-3239, JAN 2014, vol. 160, no. 1, p. 204-220.
YUAN, G.L. - WEI, Z.X. - LI, G.Y. A modified Polak-Ribiere-Polyak conjugate gradient algorithm for nonsmooth convex programs. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. ISSN 0377-0427, JAN 1 2014, vol. 255, p. 86-96.
KHAN, K.A. - BARTON, P.I. Evaluating an Element of the Clarke Generalized Jacobian of a Composite Piecewise Differentiable Function. ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE. ISSN 0098-3500, JUL 2013, vol. 39, no. 4.
FENDL, H. - NEUMAIER, A. - SCHICHL, H. Certificates of infeasibility via nonsmooth optimization. JOURNAL OF GLOBAL OPTIMIZATION. ISSN 0925-5001, SEP 2017, vol. 69, no. 1, p. 157-182.
MAHDAVI-AMIRI, N. - SHAEIRI, M. An adaptive competitive penalty method for nonsmooth constrained optimization. NUMERICAL ALGORITHMS. ISSN 1017-1398, MAY 2017, vol. 75, no. 1, p. 305-336.
OVCHAROVA, N. On the coupling of regularization techniques and the boundary element method for a hemivariational inequality modelling a delamination problem. MATHEMATICAL METHODS IN THE APPLIED SCIENCES. ISSN 0170-4214, JAN 15 2017, vol. 40, no. 1, p. 60-77.
ZHU, T.F. - YAN, Z.Z. - PENG, X.Y. A Modified Nonlinear Conjugate Gradient Method for Engineering Computation. MATHEMATICAL PROBLEMS IN ENGINEERING. ISSN 1024-123X, 2017.
DRORI, Y. - TEBOULLE, M. An optimal variant of Kelley's cutting-plane method. MATHEMATICAL PROGRAMMING. ISSN 0025-5610, NOV 2016, vol. 160, no. 1-2, p. 321-351.
STECHLINSKI, P.G. - BARTON, P.I. Generalized Derivatives of Differential-Algebraic Equations. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS. ISSN 0022-3239, OCT 2016, vol. 171, no. 1, p. 1-26.
OU, Y.G. - LIN, H.C. An ODE-like nonmonotone method for nonsmooth convex optimization. JOURNAL OF APPLIED MATHEMATICS AND COMPUTING. ISSN 1598-5865, OCT 2016, vol. 52, no. 1-2, p. 265-285.
DAO, M.N. - GWINNER, J. - NOLL, D. - OVCHAROVA, N. Nonconvex bundle method with application to a delamination problem. COMPUTATIONAL OPTIMIZATION AND APPLICATIONS. ISSN 0926-6003, SEP 2016, vol. 65, no. 1, p. 173-203.
YUAN, G.L. - WEI, Z.X. A modified PRP conjugate gradient algorithm with nonmonotone line search for nonsmooth convex optimization problems. JOURNAL OF APPLIED MATHEMATICS AND COMPUTING. ISSN 1598-5865, JUN 2016, vol. 51, no. 1-2, p. 397-412.
YOUSEFPOUR, R. Combination of steepest descent and BFGS methods for nonconvex nonsmooth optimization. NUMERICAL ALGORITHMS. ISSN 1017-1398, MAY 2016, vol. 72, no. 1, p. 57-90.
NAGESSEUR, L. A bundle method using two polyhedral approximations of the epsilon-enlargement of a maximal monotone operator. COMPUTATIONAL OPTIMIZATION AND APPLICATIONS. ISSN 0926-6003, MAY 2016, vol. 64, no. 1, p. 75-100.
STECHLINSKI, P.G. - BARTON, P.I. Generalized Derivatives of Optimal Control Problems with Nonsmooth Differential-Algebraic Equations Embedded. 2016 IEEE 55TH CONFERENCE ON DECISION AND CONTROL (CDC). ISSN 0743-1546, 2016, p. 592-597.
HARE, W. - SAGASTIZABAL, C. - SOLODOV, M. A proximal bundle method for nonsmooth nonconvex functions with inexact information. COMPUTATIONAL OPTIMIZATION AND APPLICATIONS. ISSN 0926-6003, JAN 2016, vol. 63, no. 1, p. 1-28.
YUAN, G.L. - MENG, Z.H. - LI, Y. A Modified Hestenes and Stiefel Conjugate Gradient Algorithm for Large-Scale Nonsmooth Minimizations and Nonlinear Equations. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS. ISSN 0022-3239, JAN 2016, vol. 168, no. 1, p. 129-152.
CUI, Z.R. - YUAN, G.L. - SHENG, Z. - LIU, W.J. - WANG, X.L. - DUAN, X.B. A Modified BFGS Formula Using a Trust Region Model for Nonsmooth Convex Minimizations. PLOS ONE. ISSN 1932-6203, OCT 26 2015, vol. 10, no. 10.
FUDULI, A. - GAUDIOSO, M. - NURMINSKI, E.A. A splitting bundle approach for non-smooth non-convex minimization. OPTIMIZATION. ISSN 0233-1934, MAY 4 2015, vol. 64, no. 5, p. 1131-1151.
HU, Y.P. Multivariate Spectral Gradient Algorithm for Nonsmooth Convex Optimization Problems. MATHEMATICAL PROBLEMS IN ENGINEERING. ISSN 1024-123X, 2015.
SHEN, J. - LIU, X.Q. - GUO, F.F. - WANG, S.X. An Approximate Redistributed Proximal Bundle Method with Inexact Data for Minimizing Nonsmooth Nonconvex Functions. MATHEMATICAL PROBLEMS IN ENGINEERING. ISSN 1024-123X, 2015.
STECHLINSKI, P. - JASCHKE, J. - BARTON, P.I. Generalized sensitivity analysis of nonlinear programs using a sequence of quadratic programs. OPTIMIZATION. ISSN 0233-1934, MAR 4 2019, vol. 68, no. 2-3, SI, p. 485-508.
LIU, S. A simple version of bundle method with linear programming. COMPUTATIONAL OPTIMIZATION AND APPLICATIONS. ISSN 0926-6003, MAR 2019, vol. 72, no. 2, p. 391-412.
HELOU, E.S. - SANTOS, S.A. - SIMOES, L.E.A. A fast gradient and function sampling method for finite-max functions. COMPUTATIONAL OPTIMIZATION AND APPLICATIONS. ISSN 0926-6003, DEC 2018, vol. 71, no. 3, p. 673-717.
SHENG, Z. - YUAN, G.L. An effective adaptive trust region algorithm for nonsmooth minimization. COMPUTATIONAL OPTIMIZATION AND APPLICATIONS. ISSN 0926-6003, SEP 2018, vol. 71, no. 1, SI, p. 251-271.
STECHLINSKI, P. - PATRASCU, M. - BARTON, P.I. Nonsmooth differential-algebraic equations in chemical engineering. COMPUTERS & CHEMICAL ENGINEERING. ISSN 0098-1354, JUN 9 2018, vol. 114, SI, p. 52-68.
LV, J. - PANG, L.P. - MENG, F.Y. A proximal bundle method for constrained nonsmooth nonconvex optimization with inexact information. JOURNAL OF GLOBAL OPTIMIZATION. ISSN 0925-5001, MAR 2018, vol. 70, no. 3, p. 517-549.
GAUDIOSO, M. - GIALLOMBARDO, G. - MUKHAMETZHANOV, M. Numerical infinitesimals in a variable metric method for convex nonsmooth optimization. APPLIED MATHEMATICS AND COMPUTATION. ISSN 0096-3003, FEB 1 2018, vol. 318, p. 312-320.
BARTON, P.I. - KHAN, K.A. - STECHLINSKI, P. - WATSON, H.A.J. Computationally relevant generalized derivatives: theory, evaluation and applications. OPTIMIZATION METHODS & SOFTWARE. ISSN 1055-6788, 2018, vol. 33, no. 4-6, SI, p. 1030-1072.
ASTORINO, A. - GAUDIOSO, M. - GORGONE, E. A method for convex minimization based on translated first-order approximations. NUMERICAL ALGORITHMS. ISSN 1017-1398, NOV 2017, vol. 76, no. 3, p. 745-760.
WANG, Z.F. - LING, Q. - YIN, W.T. DECENTRALIZED BUNDLE METHOD FOR NONSMOOTH CONSENSUS OPTIMIZATION. 2017 IEEE GLOBAL CONFERENCE ON SIGNAL AND INFORMATION PROCESSING (GLOBALSIP 2017). ISSN 2376-4066, 2017, p. 568-572.

0403742 - UIVT-O 20000028 IT eng V - Výzkumná zpráva
Lukšan, Ladislav - Spedicato, E.
A Globally Convergent Nonlinear ABS Algorithm.
Bergamo: Universita degli Studi di Bergamo, 2000. 6 s. Technical Report, DMSIA 2000/3.
Grant CEP: GA ČR GA201/00/0080
Výzkumný záměr: AV0Z1030915
Trvalý odkaz: http://hdl.handle.net/11104/0124035

0405454 - UIVT-O 330829 RIV IT eng J - Článek v odborném periodiku
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
Grant CEP: GA ČR GA201/00/0080
Výzkumný záměr: CEZ:AV0Z1030915
Klíčová slova: nonlinear equations * ABS methods * global convergence * algorithms
Kód oboru RIV: BA - Obecná matematika
Trvalý odkaz: http://hdl.handle.net/11104/0125618

0497192 - UIVT-O 2020 RIV CZ eng C - Konferenční příspěvek (zahraniční konf.)
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]
Institucionální podpora: RVO:67985807
Klíčová slova: nonlinear least squares * hybrid methods * trust-region methods * quasi-Newton methods * numerical algorithms * numerical experiments
Kód oboru RIV: BA - Obecná matematika
Obor OECD: Applied mathematics
Trvalý odkaz: http://hdl.handle.net/11104/0289769

0404561 - UIVT-O 20010178 RIV US eng J - Článek v odborném periodiku
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
Grant CEP: GA ČR GA201/00/0080
Výzkumný záměr: AV0Z1030915
Klíčová slova: minimax optimization * discrete Chebyshev approximation * sequential quadratic programming methods * variable metric methods * general linear constraints
Kód oboru RIV: BA - Obecná matematika
Impakt faktor: 0.649, rok: 2001
Trvalý odkaz: http://hdl.handle.net/11104/0124809

Citace, recenze

Citace:
KARAS, E. - RIBEIRO, A. - SAGASTIZABAL, C. - SOLODOV, M. A bundle-filter method for nonsmooth convex constrained optimization. MATHEMATICAL PROGRAMMING. ISSN 0025-5610, JAN 2009, vol. 116, no. 1-2, p. 297-320.
HOMESCU, C. - NAVON, I.M. Optimal control of flow with discontinuities. JOURNAL OF COMPUTATIONAL PHYSICS. ISSN 0021-9991, MAY 20 2003, vol. 187, no. 2, p. 660-682.
BAGIROV, A.M. - UGON, J. Codifferential method for minimizing nonsmooth DC functions. JOURNAL OF GLOBAL OPTIMIZATION. ISSN 0925-5001, MAY 2011, vol. 50, no. 1, SI, p. 3-22.
STUBER, M.D. - KUMAR, V. - BARTON, P.I. Nonsmooth exclusion test for finding all solutions of nonlinear equations. BIT NUMERICAL MATHEMATICS. ISSN 0006-3835, DEC 2010, vol. 50, no. 4, p. 885-917.
BAGIROV, A.M. - GANJEHLOU, A.N. - UGON, J. - TOR, A.H. TRUNCATED CODIFFERENTIAL METHOD FOR NONSMOOTH CONVEX OPTIMIZATION. PACIFIC JOURNAL OF OPTIMIZATION. ISSN 1348-9151, SEP 2010, vol. 6, no. 3, p. 483-496.
BAGIROV, A.M. - GANJEHLOU, A.N. A quasisecant method for minimizing nonsmooth functions. OPTIMIZATION METHODS & SOFTWARE. ISSN 1055-6788, 2010, vol. 25, no. 1, p. 3-18.
BAGIROV, A.M. - JIN, L. - KARMITSA, N. - AL NUAIMAT, A. - SULTANOVA, N. Subgradient Method for Nonconvex Nonsmooth Optimization. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS. ISSN 0022-3239, MAY 2013, vol. 157, no. 2, p. 416-435.
NESEMANN, L. - STEPHAN, E.P. Numerical solution of an adhesion problem with FEM and BEM. APPLIED NUMERICAL MATHEMATICS. ISSN 0168-9274, MAY 2012, vol. 62, no. 5, p. 606-619.
LAMA, N. - BORACCHI, P. - BIGANZOLI, E. Exploration of distributional models for a novel intensity-dependent normalization procedure in censored gene expression data. COMPUTATIONAL STATISTICS & DATA ANALYSIS. ISSN 0167-9473, MAR 15 2009, vol. 53, no. 5, p. 1906-1922.
ZUPANSKI, M. - NAVON, I.M. - ZUPANSKI, D. The Maximum Likelihood Ensemble Filter as a non-differentiable minimization algorithm. QUARTERLY JOURNAL OF THE ROYAL METEOROLOGICAL SOCIETY. ISSN 0035-9009, APR 2008, vol. 134, no. 633, B, p. 1039-1050.
STUBER, M.D. - WECHSUNG, A. - SUNDARAMOORTHY, A. - BARTON, P.I. Worst-case design of subsea production facilities using semi-infinite programming. AICHE JOURNAL. ISSN 0001-1541, JUL 2014, vol. 60, no. 7, p. 2513-2524.
TOR, A.H. - BAGIROV, A. - KARASOZEN, B. Aggregate codifferential method for nonsmooth DC optimization. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. ISSN 0377-0427, MAR 15 2014, vol. 259, B, p. 851-867.
WECHSUNG, A. - BARTON, P.I. Global optimization of bounded factorable functions with discontinuities. JOURNAL OF GLOBAL OPTIMIZATION. ISSN 0925-5001, JAN 2014, vol. 58, no. 1, p. 1-30.
BAR-GERA, H. - HELLMAN, F. - PATRIKSSON, M. Computational precision of traffic equilibria sensitivities in automatic network design and road pricing. TRANSPORTATION RESEARCH PART B-METHODOLOGICAL. ISSN 0191-2615, NOV 2013, vol. 57, SI, p. 485-500.
KHAN, K.A. - BARTON, P.I. A vector forward mode of automatic differentiation for generalized derivative evaluation. OPTIMIZATION METHODS & SOFTWARE. ISSN 1055-6788, DEC 2015, vol. 30, no. 6, p. 1185-1212.
WATSON, H.A.J. - KHAN, K.A. - BARTON, P.I. Multistream heat exchanger modeling and design. AICHE JOURNAL. ISSN 0001-1541, OCT 2015, vol. 61, no. 10, p. 3390-3403.
WECHSUNG, A. - SCOTT, J.K. - WATSON, H.A.J. - BARTON, P.I. Reverse propagation of McCormick relaxations. JOURNAL OF GLOBAL OPTIMIZATION. ISSN 0925-5001, SEP 2015, vol. 63, no. 1, p. 1-36.
STUBER, M.D. - SCOTT, J.K. - BARTON, P.I. Convex and concave relaxations of implicit functions. OPTIMIZATION METHODS & SOFTWARE. ISSN 1055-6788, JUN 2015, vol. 30, no. 3, p. 424-460.
STUBER, M.D. - BARTON, P.I. Semi-Infinite Optimization with Implicit Functions. INDUSTRIAL & ENGINEERING CHEMISTRY RESEARCH. ISSN 0888-5885, JAN 14 2015, vol. 54, no. 1, p. 307-317.
STECHLINSKI, P. - JASCHKE, J. - BARTON, P.I. Generalized sensitivity analysis of nonlinear programs using a sequence of quadratic programs. OPTIMIZATION. ISSN 0233-1934, MAR 4 2019, vol. 68, no. 2-3, SI, p. 485-508.
BARTON, P.I. - KHAN, K.A. - STECHLINSKI, P. - WATSON, H.A.J. Computationally relevant generalized derivatives: theory, evaluation and applications. OPTIMIZATION METHODS & SOFTWARE. ISSN 1055-6788, 2018, vol. 33, no. 4-6, SI, p. 1030-1072.

0328063 - UIVT-O 2010 RIV US eng J - Článek v odborném periodiku
Lukšan, Ladislav - Matonoha, Ctirad - Vlček, Jan
Algorithm 896: LSA: Algorithms for Large-Scale Optimization.
[Algoritmus 896: LSA: Algoritmy pro rozsáhlé optimalizační úlohy.]
ACM Transactions on Mathematical Software. Roč. 36, č. 3 (2009), 16-1-16-29. ISSN 0098-3500
Grant CEP: GA AV ČR IAA1030405; GA ČR GP201/06/P397
Výzkumný záměr: CEZ:AV0Z10300504
Klíčová slova: algorithms * design * large-scale optimization * large-scale nonsmooth optimization * large-scale nonlinear least squares * large-scale nonlinear minimax * large-scale systems of nonlinear equations * sparse problems * partially separable problems * limited-memory methods * discrete Newton methods * quasi-Newton methods * primal interior-point methods
Kód oboru RIV: BB - Aplikovaná statistika, operační výzkum
Impakt faktor: 1.904, rok: 2009
Trvalý odkaz: http://hdl.handle.net/11104/0174469

Citace, recenze

Citace:
ANDREANI, R. - MARTINEZ, J.M. - SANTOS, L.T. - SVAITER, B.F. On the behaviour of constrained optimization methods when Lagrange multipliers do not exist. OPTIMIZATION METHODS & SOFTWARE. ISSN 1055-6788, MAY 4 2014, vol. 29, no. 3, p. 646-657.
LOUVEAUX, M. - JULIEN, J.D. - MIRABET, V. - BOUDAOUD, A. - HAMANT, O. Cell division plane orientation based on tensile stress in Arabidopsis thaliana. PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA. ISSN 0027-8424, JUL 26 2016, vol. 113, no. 30, p. E4294-E4303.

0402812 - UIVT-O 960198 CZ cze K - Konferenční příspěvek (tuzemská konf.)
Lukšan, Ladislav - Vlček, Jan
Algoritmus pro řešení rozsáhlých řídkých úloh nelineárního programování s omezeními ve tvaru rovností.
Programy a algoritmy numerické matematiky 8. Praha: Matematický ústav AV ČR, 1996, s. 122-127.
[Programy a algoritmy numerické matematiky /8./. Janov nad Nisou (CZ), 10.06.1996-14.06.1996]
Grant CEP: GA ČR GA201/96/0918
Trvalý odkaz: http://hdl.handle.net/11104/0123188

0402640 - UIVT-O 960082 CZ eng C - Konferenční příspěvek (zahraniční konf.)
Lukšan, Ladislav - Vlček, Jan
An Algorithm for Large Sparse Equality Constrained Nonlinear Programming Problems.
Proceedings of the 11th Summer School Software and Algorithms of Numerical Mathematics. Plzeň: University of West Bohemia, 1995, s. 154-162.
[SANM'95. Železná Ruda (CZ), 04.09.1995-08.09.1995]
Grant CEP: GA ČR GA201/93/0429
Klíčová slova: constrained optimization * indefinice systems
Trvalý odkaz: http://hdl.handle.net/11104/0123026

0403085 - UIVT-O 970099 CZ eng A - Abstrakt
Lukšan, Ladislav - Vlček, Jan
An Indefinite Preconditioner for Saddle Point Systems.
IMPC'97 Abstracts. Prague: Charles University Prague, 1997. nestr.
[Czech-U.S. Workshop on Iterative Methods and Parallel Computing. 16.06.1997-21.06.1997, Milovy]
Grant CEP: GA ČR GA201/96/0918
Trvalý odkaz: http://hdl.handle.net/11104/0123447

0346100 - UIVT-O 2011 CZ eng K - Konferenční příspěvek (tuzemská konf.)
Lukšan, Ladislav - Vlček, Jan
A recursive formulation of limited memory variable metric methods.
Seminar on Numerical Analysis. Modelling and Simulation of Challenging Engineering Problems. Prague: Institute of Computer Science AS CR, 2010, s. 107-109. ISBN 978-80-87136-07-2.
[SNA ’10. Seminar on Numerical Analysis. Nové Hrady (CZ), 18.01.2010-22.01.2010]
Grant CEP: GA ČR GA201/09/1957
Výzkumný záměr: CEZ:AV0Z10300504
Klíčová slova: unconstrained minimization * variable metric methods * limited-memory methods * Broyden-class updates
Kód oboru RIV: BA - Obecná matematika
Trvalý odkaz: http://hdl.handle.net/11104/0187210

0103346 - UIVT-O 20040087 SIGLE CZ eng V - Výzkumná zpráva
Lukšan, Ladislav - Matonoha, Ctirad - Vlček, Jan
A Shifted Steihaug-Toint Method for Computing a Trust-Region Step.
Prague: ICS AS CR, 2004. 9 s. Technical Report, V-914.
Grant CEP: GA AV ČR IAA1030405
Výzkumný záměr: CEZ:AV0Z1030915
Klíčová slova: unconstrained optimization * large-scale optimization * trust-region methods * trust-region problems * conjugate gradients * Krylov subspaces * computational experiments
Kód oboru RIV: BA - Obecná matematika
Trvalý odkaz: http://hdl.handle.net/11104/0010655

Citace, recenze

Citace:
ZHOU, W. - AKROTIRIANAKIS, I.G. - YEKTAMARAM, S. - GRIFFIN, J.D. A matrix-free line-search algorithm for nonconvex optimization. OPTIMIZATION METHODS & SOFTWARE. ISSN 1055-6788, JAN 2 2019, vol. 34, no. 1, p. 1-24.

0032398 - UIVT-O 2007 CZ eng K - Konferenční příspěvek (tuzemská konf.)
Lukšan, Ladislav - Matonoha, Ctirad - Vlček, Jan
A Shifted Steihaug-Toint Method for Computing a Trust-Region Step.
Modelling and Simulation of Challenging Engineering Problems. Prague: Institute of Computer Science, 2006, s. 63-66.
[SNA '06. Seminar on Numerical Analysis. Monínec (CZ), 16.01.2006-20.01.2006]
Grant CEP: GA AV ČR IAA1030405; GA ČR GP201/06/P397
Výzkumný záměr: CEZ:AV0Z10300504
Klíčová slova: optimization * trust region methods * Lagrange multiplier
Kód oboru RIV: BA - Obecná matematika
Trvalý odkaz: http://hdl.handle.net/11104/0132926

0042764 - UIVT-O 2007 RIV IT eng C - Konferenční příspěvek (zahraniční konf.)
Lukšan, Ladislav - Matonoha, Ctirad - Vlček, Jan
A Shifted Steihaug-Toint Method for Computing a Trust-Region Step.
[Posunutá Steihaugova-Tointova metoda pro výpočet lokálně omezeného kroku.]
Numerical Linear Algebra in Signals and Systems. Bari: Instituto Nazionale di Alta Matematica, 2006, s. 37-41.
[Numerical Linear Algebra in Signals and Systems. International Workshop. Bari (IT), 11.09.2006-15.09.2006]
Grant CEP: GA AV ČR IAA1030405; GA ČR GP201/06/P397
Výzkumný záměr: CEZ:AV0Z10300504
Klíčová slova: optimization * trust region methods * Lagrange multiplier
Kód oboru RIV: BA - Obecná matematika
Trvalý odkaz: http://hdl.handle.net/11104/0135926

0350416 - UIVT-O 2011 CZ eng V - Výzkumná zpráva
Lukšan, Ladislav - Matonoha, Ctirad - Vlček, Jan
Band preconditioners for the matrix-free truncated Newton method.
Prague: ICS AS CR, 2010. 21 s. Technical Report, V-1079.
Grant CEP: GA ČR GA201/09/1957
Výzkumný záměr: CEZ:AV0Z10300504
Klíčová slova: unconstrained optimization * large scale optimization * truncated Newton method * matrix-free Newton method * band preconditioners * algorithms
Kód oboru RIV: BA - Obecná matematika
Trvalý odkaz: http://hdl.handle.net/11104/0190429

Citace, recenze

Citace:
DE SIMONE, V. - DI SERAFINO, D. A matrix-free approach to build band preconditioners for large-scale bound-constrained optimization. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. ISSN 0377-0427, OCT 1 2014, vol. 268, p. 82-92.
FASANO, G. - ROMA, M. A novel class of approximate inverse preconditioners for large positive definite linear systems in optimization. COMPUTATIONAL OPTIMIZATION AND APPLICATIONS. ISSN 0926-6003, NOV 2016, vol. 65, no. 2, SI, p. 399-429.

0401908 - UIVT-O 930046 CZ eng V - Výzkumná zpráva
Lukšan, Ladislav
Combined Trust Region Methods for Nonlinear Least Squares.
Prague: ICS AS CR, 1993. 21 s. Technical Report, V-555.
Klíčová slova: unconstrained optimization * nonlinear least squares * trust region methods * Gauss-Newton methods * sparse problems * iterative methods * conjugate gradients * Lanczos methods
Trvalý odkaz: http://hdl.handle.net/11104/0122337

0402504 - UIVT-O 960078 CZ eng J - Článek v odborném periodiku
Lukšan, Ladislav
Combined Trust Region Methods for Nonlinear Least Squares.
Kybernetika. Roč. 32, č. 2 (1996), s. 121-138. ISSN 0023-5954
Grant CEP: GA AV ČR IA23012
Klíčová slova: optimization * least squares * trust region
http://dml.cz/handle/10338.dmlcz/124181
Trvalý odkaz: http://hdl.handle.net/11104/0122911

Citace, recenze

Citace:
Conn A.R., Gould N.I.M., Toint P.L. in : Trust-Region Methods. Philadelphia : SIAM, (2000), pp. 959

0402793 - UIVT-O 960098 CZ eng V - Výzkumná zpráva
Lukšan, Ladislav - Vlček, Jan
Computational Experience with Globally Convergent Descent Methods for Large Sparse Systems of Nonlinear Equations.
Prague: ICS AS CR, 1996. 19 s. Technical Report, V-668.
Grant CEP: GA ČR GA201/96/0918
Klíčová slova: nonlinear equations * Armijo-type descent methods * Newton-like methods * truncated methods * global convergence * nonsymmetric linear systems * conjugate gradient-type methods * residual smoothing * computational experiments
Trvalý odkaz: http://hdl.handle.net/11104/0123175

0402794 - UIVT-O 980003 RIV US eng J - Článek v odborném periodiku
Lukšan, Ladislav - Vlček, Jan
Computational Experience with Globally Convergent Descent Methods for Large Sparse Systems of Nonlinear Equations.
Optimization Methods & Software. Roč. 8, č. 3-4 (1998), s. 201-223. ISSN 1055-6788
Grant CEP: GA ČR GA201/96/0918
Klíčová slova: nonlinear equations * Armijo-type descent methods * Newton-like methods * truncated methods * global convergence * nonsymmetric linear systems * conjugate gradient-type methods * residual smoothing * computational experiments
Kód oboru RIV: BB - Aplikovaná statistika, operační výzkum
Trvalý odkaz: http://hdl.handle.net/11104/0123176

Citace, recenze

Citace:
Martínez J.M. Practical quasi-Newton methods for solving nonlinear systems. Research Report. Campinas : University of Campinas /Brazil/, (1999), p. 35
Friedlander A. et al. Solving Nonlinear Systems of Equations by Means of Quasi-Newton Methods with a Nonmonotone Strategy. Optimization Methods and Software, 1997, vol. 8, p. 25-51
De Luca T, Facchinei F, 1997, Kanzow Ch. A Theoretical and Numerical Comparison of Some Semismooth Algorithms for Complementarity Problems. Technical Report. Roma : Fondazione Ugo Bordonni, p. 14
Gasparo M.G, 2000, Palagi E. Numerical Study of an Inexact Nonmonotone Method for Systems of Nonlinear Equations. Technical Report. : Dipartimento di Energetica S. Stecco, Universita di Firenze, p. 17
Mendoca L.F, Pérez R, Lopes V.L.R. Inverse q-columns updating methods for solving nonlinear systems of equations. Journal of Computational and Applied Mathematics, 2003, vol. 158, p. 317-337
BIERLAIRE, M. - CRITTIN, F. Solving noisy, large-scale fixed-point problems and systems of nonlinear equations. TRANSPORTATION SCIENCE. ISSN 0041-1655, FEB 2006, vol. 40, no. 1, p. 44-63.
KREJIC, N.S. - LUZANIN, Z. Newton-like method with modification of the right-hand-side vector. MATHEMATICS OF COMPUTATION. ISSN 0025-5718, 2002, vol. 71, no. 237, p. 237-250.
GASPARO, M.G. - MORINI, B. Inexact methods: Forcing terms and conditioning. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS. ISSN 0022-3239, DEC 2000, vol. 107, no. 3, p. 573-589.
TEBBENS, J.D. - TUMA, M. Preconditioner updates for solving sequences of linear systems in matrix-free environment. NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS. ISSN 1070-5325, DEC 2010, vol. 17, no. 6, p. 997-1019.
PEREZ, R. - LOPES, V.L.R. Recent applications and numerical implementation of quasi-Newton methods for solving nonlinear systems of equations. NUMERICAL ALGORITHMS. ISSN 1017-1398, APR 2004, vol. 35, no. 2-4, p. 261-285.
DE MENDONCA, L.F. - PEREZ, R. - LOPES, V.L.R. Inverse q-Columns Updating Methods for solving nonlinear systems of equations. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. ISSN 0377-0427, SEP 15 2003, vol. 158, no. 2, p. 317-337.
BIRGIN, E.G. - KREJIC, N. - MARTINEZ, J.M. Globally convergent inexact quasi-Newton methods for solving nonlinear systems. NUMERICAL ALGORITHMS. ISSN 1017-1398, APR 2003, vol. 32, no. 2-4, p. 249-260.
MARTINEZ, J.M. Practical quasi-Newton methods for solving nonlinear systems. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. ISSN 0377-0427, DEC 1 2000, vol. 124, no. 1-2, p. 97-121.
GONCALVES, M.L.N. - OLIVEIRA, F.R. An inexact Newton-like conditional gradient method for constrained nonlinear systems. APPLIED NUMERICAL MATHEMATICS. ISSN 0168-9274, OCT 2018, vol. 132, p. 22-34.
MARINI, L. - MORINI, B. - PORCELLI, M. Quasi-Newton methods for constrained nonlinear systems: complexity analysis and applications. COMPUTATIONAL OPTIMIZATION AND APPLICATIONS. ISSN 0926-6003, SEP 2018, vol. 71, no. 1, SI, p. 147-170.
MORINI, B. - PORCELLI, M. - TOINT, P.L. APPROXIMATE NORM DESCENT METHODS FOR CONSTRAINED NONLINEAR SYSTEMS. MATHEMATICS OF COMPUTATION. ISSN 0025-5718, MAY 2018, vol. 87, no. 311, p. 1327-1351.

0402053 - UIVT-O 940081 US eng J - Článek v odborném periodiku
Lukšan, Ladislav
Computational Experience with Known Variable Metric Updates.
Journal of Optimization Theory and Applications. Roč. 83, č. 1 (1994), s. 27-47. ISSN 0022-3239
Grant CEP: GA ČR GA201/93/0429
Impakt faktor: 0.316, rok: 1994
Trvalý odkaz: http://hdl.handle.net/11104/0122468

Citace, recenze

Citace:
Fletcher, R. An Overview of Unconstrained Optimization. Algorithms for Continuous Optimization. Ed. E.Spedicato. Dordrecht : Kluwer Academic Publishers, p. 109-143
Phua PKH, Zeng Y. Parallel Quasi-Newton Algorithms for Large-Scale Optimization. Report No. TRB2. Singapore : National University,
Phua PKH, Fan W, Zeng Y. Parallel Algorithms for Large-Scale nonlinear Optimization. Report No. TR22. Singapore : National University,
Phua PKH, Fan W, Zeng Y. Self scaling Parallel Quasi-Newton Methods. Proceedings of the 4th International Conference on Optimization: Techniques and Applications. Australia, p. 526-531
YIN, H.X. - DU, D.L. The global convergence of self-scaling BFGS algorithm with nonmonotone line search for unconstrained nonconvex optimization problems. ACTA MATHEMATICA SINICA-ENGLISH SERIES. ISSN 1439-8516, JUL 2007, vol. 23, no. 7, p. 1233-1240.
LIU, C. - WIEL, S.A.V. Statistical quasi-Newton: A new look at least change. SIAM JOURNAL ON OPTIMIZATION. ISSN 1052-6234, 2007, vol. 18, no. 4, p. 1266-1285.
PHUA, P.K.H. - ZENG, Y.L. - MING, D.H. Hybrid parallel variable metric algorithms for nonlinear optimization. INTERNATIONAL CONFERENCE ON PARALLEL AND DISTRIBUTED PROCESSING TECHNIQUES AND APPLICATIONS, VOLS I-V, PROCEEDINGS. 1999, p. 1620-1626.
LIU, G.H. - HAN, L.X. A study of the Dennis-Wolkowicz method on convex functions. COMPUTATIONAL OPTIMIZATION AND APPLICATIONS. ISSN 0926-6003, 2001, vol. 19, no. 3, p. 297-317.
AL-BAALI, M. Numerical experience with a class of self-scaling quasi-Newton algorithms. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS. ISSN 0022-3239, MAR 1998, vol. 96, no. 3, p. 533-553.
KARMITSA, N. - BAGIROV, A. - MAKELA, M.M. Comparing different nonsmooth minimization methods and software. OPTIMIZATION METHODS & SOFTWARE. ISSN 1055-6788, 2012, vol. 27, no. 1, p. 131-153.
KARAS, E. - RIBEIRO, A. - SAGASTIZABAL, C. - SOLODOV, M. A bundle-filter method for nonsmooth convex constrained optimization. MATHEMATICAL PROGRAMMING. ISSN 0025-5610, JAN 2009, vol. 116, no. 1-2, p. 297-320.
KARKKAINEN, T. - MAJAVA, K. - MAKELA, M.M. Comparison of formulations and solution methods for image restoration problems. INVERSE PROBLEMS. ISSN 0266-5611, DEC 2001, vol. 17, no. 6, p. 1977-1995.
BAYER, T. Advanced methods for the estimation of an unknown projection from a map. GEOINFORMATICA. ISSN 1384-6175, APR 2016, vol. 20, no. 2, p. 241-284.
BAYER, T. - KOCANDRLOVA, M. Reconstruction of Map Projection, its Inverse and Re-Projection. APPLICATIONS OF MATHEMATICS. ISSN 0862-7940, AUG 2018, vol. 63, no. 4, p. 455-481.

0317833 - UIVT-O 2009 SIGLE CZ eng V - Výzkumná zpráva
Lukšan, Ladislav - Matonoha, Ctirad - Vlček, Jan
Computational experience with modified conjugate gradient methods for unconstrained optimization.
Prague: ICS AS CR, 2008. 16 s. Technical Report, V-1038.
Grant CEP: GA AV ČR IAA1030405; GA ČR GP201/06/P397
Výzkumný záměr: CEZ:AV0Z10300504
Klíčová slova: numerical optimization * conjugate direction methods * conjugate gradient methods * global convergence * numerical experiments
Kód oboru RIV: BA - Obecná matematika
Trvalý odkaz: http://hdl.handle.net/11104/0167378

Citace, recenze

Citace:
MOSTAFA, E.S.M.E. A CONJUGATE GRADIENT METHOD FOR DISCRETE-TIME OUTPUT FEEDBACK CONTROL DESIGN. JOURNAL OF COMPUTATIONAL MATHEMATICS. ISSN 0254-9409, MAY 2012, vol. 30, no. 3, p. 279-297.
FISCHBACHER, J. - KOVACS, A. - OEZELT, H. - SCHREFL, T. - EXL, L. - FIDLER, J. - SUESS, D. - SAKUMA, N. - YANO, M. - KATO, A. - SHOJI, T. - MANABE, A. Nonlinear conjugate gradient methods in micromagnetics. AIP ADVANCES. ISSN 2158-3226, APR 2017, vol. 7, no. 4.

0321400 - UIVT-O 2009 CZ eng A - Abstrakt
Lukšan, Ladislav - Matonoha, Ctirad - Vlček, Jan
Computational Experience with Modified Conjugate Gradient Methods for Unconstrained Optimization.
SNA '09 - Seminar on Numerical Analysis & Winter School. Ostrava: Institute of Geonics AS CR, 2009 - (Blaheta, R.; Starý, J.). s. 5-7 příloha. ISBN 978-80-86407-60-9.
[SNA '09 - Seminar on numerical analysis: modelling and simulation of challenging engineering problems. 02.02.2009-06.02.2009, Ostrava]
Grant CEP: GA ČR GA201/09/1957
Výzkumný záměr: CEZ:AV0Z10300504
Klíčová slova: conjugate gradient methods * unconstrained minimization * computational experience
Trvalý odkaz: http://hdl.handle.net/11104/0169961

0403672 - UIVT-O 990057 CZ eng V - Výzkumná zpráva
Lukšan, Ladislav - Vlček, Jan
Conjugate Gradient Methods for Saddle Point Systems.
Prague: ICS AS CR, 1999. 8 s. Technical Report, V-778.
Grant CEP: GA ČR GA201/96/0918
Klíčová slova: nonlinear programming * sparse problems * equality constraints * saddle point systems * indefinite systems * indefinite preconditioners * conjugate gradient methods
Trvalý odkaz: http://hdl.handle.net/11104/0123970

Citace, recenze

Citace:
JIRANEK, P. - ROZLOZNIK, M. Limiting accuracy of segregated solution methods for nonsymmetric saddle point problems. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. ISSN 0377-0427, MAY 15 2008, vol. 215, no. 1, p. 28-37.

0403740 - UIVT-O 20000026 RIV CZ eng C - Konferenční příspěvek (zahraniční konf.)
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]
Grant CEP: GA AV ČR IAA2030706
Výzkumný záměr: AV0Z1030915
Kód oboru RIV: BA - Obecná matematika
Trvalý odkaz: http://hdl.handle.net/11104/0124033

Citace, recenze

Citace:
Rozložník M, Simoncini V. Short-term recurrences for indefinite preconditioning of saddle point problems, 2000,
ROZLOZNIK, M. - SIMONCINI V. Krylov subspace methods for saddle point problems with indefinite preconditioning. SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS. ISSN 0895-4798, DEC 19 2002, vol. 24, no. 2, p. 368-391.

0403868 - UIVT-O 20000045 IT eng V - Výzkumná zpráva
Lukšan, Ladislav - Vlček, Jan
Conjugate Gradient Methods for Saddle Point Systems.
Bergamo: Universita degli Studi di Bergamo, 2000. 8 s. Technical Report, DMSIA 2000/2.
Grant CEP: GA ČR GA201/00/0080
Výzkumný záměr: AV0Z1030915
Trvalý odkaz: http://hdl.handle.net/11104/0124156

0103300 - UIVT-O 20040041 CZ eng C - Konferenční příspěvek (zahraniční konf.)
Lukšan, Ladislav - Vlček, Jan
Discrete Minimax Approximations with Application to Filter Design.
Simulation, Modelling, and Numerical Analysis. Technická univerzita: Liberec, 2003 - (Šembera, J.; Hokr, M.), s. 65-70. ISBN 80-7083-774-8.
[SIMONA 2003. International Workshop on Simulation, Modelling, and Numerical Analysis /2./. Liberec (CZ), 01.09.2003-03.09.2003]
Grant CEP: GA AV ČR IAA1030103
Výzkumný záměr: CEZ:AV0Z1030915
Klíčová slova: minimax optimization * filter design * nonsmooth optimization
Kód oboru RIV: BA - Obecná matematika
Trvalý odkaz: http://hdl.handle.net/11104/0010611

0402701 - UIVT-O 960136 CZ eng V - Výzkumná zpráva
Lukšan, Ladislav - Vlček, Jan
Efficient Algorithm for Large Sparse Equality Constrained Nonlinear Programming Problems.
Prague: ICS AS CR, 1996. 16 s. Technical Report, V-652.
Grant CEP: GA ČR GA201/96/0918
Klíčová slova: nonlinear programming * sparse problem * equality constraints * truncated Newton method * range space method * special merit function * indefinite system * conjugate gradient method * residual smoothing
Trvalý odkaz: http://hdl.handle.net/11104/0123087

0103347 - UIVT-O 20040088 SIGLE CZ eng V - Výzkumná zpráva
Lukšan, Ladislav - Vlček, Jan
Efficient Methods for Large-Scale Unconstrained Optimization.
Prague: ICS AS CR, 2004. 24 s. Technical Report, V-915.
Grant CEP: GA AV ČR IAA1030405
Výzkumný záměr: CEZ:AV0Z1030915
Klíčová slova: unconstrained optimization * large-scale optimization * nonsmooth optimization * limited-memory methods * bundle-type methods * variable metric methods * nonlinear least squares * nonlinear minimax optimization * trust-region subproblems * computational experiments
Kód oboru RIV: BA - Obecná matematika
Trvalý odkaz: http://hdl.handle.net/11104/0010656

0341250 - UIVT-O 2010 RIV DE eng C - Konferenční příspěvek (zahraniční konf.)
Lukšan, Ladislav - Vlček, Jan
Efficient Methods for Large-Scale Unconstrained Optimization.
Large-Scale Nonlinear Optimization. New York: Springer, 2006 - (Di Pillo, G.; Roma, M.), s. 185-210. Nonconvex Optimization and Its Applications, 83. ISBN 978-0-387-30063-4.
[Workshop on Large Scale Nonlinear Optimization. Erice (IT), 22.06.2004-01.07.2004]
Grant CEP: GA AV ČR IAA1030405
Výzkumný záměr: CEZ:AV0Z10300504
Klíčová slova: nonlinear optimization * nonsmooth optimization * large-scale problems * variable metric methods * trust-region methods
Kód oboru RIV: BA - Obecná matematika
Trvalý odkaz: http://hdl.handle.net/11104/0184291

Citace, recenze

Citace:
MOISEEV, K. - WIMER, S. - KOLODNY, A. Timing-constrained power minimization in VLSI circuits by simultaneous multilayer wire spacing. INTEGRATION-THE VLSI JOURNAL. ISSN 0167-9260, JAN 2015, vol. 48, p. 116-128.

0387226 - UIVT-O 2013 CZ eng V - Výzkumná zpráva
Lukšan, Ladislav - Vlček, Jan
Efficient tridiagonal preconditioner for the matrix-free truncated Newton method.
Prague: ICS AS CR, 2013. 18 s. Technical Report, V-1177.
Institucionální podpora: RVO:67985807
Klíčová slova: unconstrained optimization * large scale optimization * matrix-free truncated Newton method * preconditioned conjugate gradient method * preconditioners obtained by the directional differentiation * numerical algorithms
Kód oboru RIV: BA - Obecná matematika
Trvalý odkaz: http://hdl.handle.net/11104/0216972

0427366 - UIVT-O 2015 RIV US eng J - Článek v odborném periodiku
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
Grant CEP: GA ČR GA13-06684S
Institucionální podpora: RVO:67985807
Klíčová slova: unconstrained optimization * large scale optimization * matrix-free truncated Newton method * preconditioned conjugate gradient method * preconditioners obtained by the directional differentiation * numerical algorithms
Kód oboru RIV: BA - Obecná matematika
Impakt faktor: 1.551, rok: 2014
Lukšan, Ladislav
Trvalý odkaz: http://hdl.handle.net/11104/0232910

Citace, recenze

Citace:
XIA, J.L. - LI, Z.L. - YE, X. Effective matrix-free preconditioning for the augmented immersed interface method. JOURNAL OF COMPUTATIONAL PHYSICS. ISSN 0021-9991, DEC 15 2015, vol. 303, p. 295-312.

0402502 - UIVT-O 960077 CZ eng J - Článek v odborném periodiku
Lukšan, Ladislav
Efficient Trust Region Method for Nonlinear Least Squares.
Kybernetika. Roč. 32, č. 2 (1996), s. 105-120. ISSN 0023-5954
Grant CEP: GA AV ČR IA23012
Klíčová slova: optimization * least squares * trust region
http://dml.cz/handle/10338.dmlcz/124177
Trvalý odkaz: http://hdl.handle.net/11104/0122909

Citace, recenze

Citace:
Conn A.R., Gould N.I.M., Toint P.L. in : Trust-Region Methods. Philadelphia : SIAM, (2000), pp. 959

0402856 - UIVT-O 960167 CZ eng V - Výzkumná zpráva
Lukšan, Ladislav - Vlček, Jan
Fully Iterative Indefinitely Preconditioned Algorithm for Large Sparse Equality Constrained Nonlinear Programming Problems.
Prague: ICS AS CR, 1996. 12 s. Technical Report, V-691.
Grant CEP: GA ČR GA201/96/0918
Klíčová slova: nonlinear programming * sparse problem * equality constraints * truncated Newton method * augmented Lagrangian function * indefinite system * conjugate gradient method * residual smoothing * indefinite preconditioner
Trvalý odkaz: http://hdl.handle.net/11104/0123231

0402585 - UIVT-O 950188 CZ eng V - Výzkumná zpráva
Lukšan, Ladislav - Rozložník, Miroslav
Globally Convergent Methods for Large Sparse Systems of Nonlinear Equations.
Prague: ICS AS CR, 1995. 21 s. Technical Report, V-649.
Grant CEP: GA ČR GA201/93/0429
Klíčová slova: nonlinear equations * Armijo-type descent methods * trust region methods * global convergence * inexact Jacobians * nonsymetric linear systems * conjugate gradient-type methods * residual smoothing
Trvalý odkaz: http://hdl.handle.net/11104/0122984

0402815 - UIVT-O 970012 CZ eng C - Konferenční příspěvek (zahraniční konf.)
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]
Grant CEP: GA ČR GA201/93/0429
Klíčová slova: nonlinear equations * Newton-like methods * Armijo-type descent methods * trust region methods * global convergence * preconditioned smoothed CGS method * algorithms
Trvalý odkaz: http://hdl.handle.net/11104/0123191