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Found 82 Documents (Results 1–82)

Optimization. Vol. 1. Conditions of optimality, elements of convex analysis and of duality. 3rd edition. (Otimização. Vol. 1. Condições de otimalidade, elementos de análise convexa e de dualidade.) (Portuguese) Zbl 1405.90001

Rio de Janeiro: Instituto Nacional de Matemática Pura e Aplicada (IMPA) (ISBN 978-85-244-0389-7). x, 274 p. (2014).
MSC:  90-01 90Cxx 90-08
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Optimization. Vol. 2. Computational methods. 2nd edition. (Otimização. Vol. 2. Métodos computacionais.) (Portuguese) Zbl 1405.90002

Rio de Janeiro: Instituto Nacional de Matemática Pura e Aplicada (IMPA) (ISBN 978-85-244-0268-5). ix, 449 p. (2012).
MSC:  90-01 90Cxx 90-08
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On the influence of the critical Lagrange multipliers on the convergence rate of the multiplier method. (Russian, English) Zbl 1274.90386

Zh. Vychisl. Mat. Mat. Fiz. 52, No. 11, 1959-1975 (2012); translation in Comput. Math. Math. Phys. 52, No. 11, 1504-1519 (2012).
MSC:  90C30
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Multiplier methods for optimization problems with Lipschitzian derivatives. (Russian, English) Zbl 1274.49043

Zh. Vychisl. Mat. Mat. Fiz. 52, No. 12, 2140-2148 (2012); translation in Comput. Math. Math. Phys. 52, No. 12, 1603-1611 (2012).
MSC:  49M15 49L20
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On the application of Newton-type methods to Fritz John optimality conditions. (Russian, English) Zbl 1249.90254

Zh. Vychisl. Mat. Mat. Fiz. 51, No. 7, 1194-1208 (2011); translation in Comput. Math. Math. Phys. 51, No. 7, 1114-1127 (2011).
MSC:  90C30 90C46 49M15
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A semismooth sequential quadratic programming method for lifted mathematical programs with vanishing constraints. (Russian, English) Zbl 1249.90188

Zh. Vychisl. Mat. Mat. Fiz. 51, No. 6, 983-1006 (2011); translation in Comput. Math. Math. Phys. 51, No. 6, 919-941 (2011).
MSC:  90C20 65K05
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Optimality conditions and Newton-type methods for mathematical programs with vanishing constraints. (Russian, English) Zbl 1224.90165

Zh. Vychisl. Mat. Mat. Fiz. 49, No. 7, 1184-1196 (2009); translation in Comput. Math., Math. Phys. 49, No. 7, 1128-1140 (2009).
MSC:  90C30
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A survey on dual behavior of Newton-type methods for constrained optimization. (English) Zbl 1203.90147

Jaćimović, Milojica (ed.), Proceedings of the international conference on nonlinear analysis and optimization problems, Budva, Montenegro, October 6–10, 2008. Podgorica: Montenegrin Academy of Sciences and Arts (ISBN 978-86-7215-227-2/pbk). Scientific Meetings. Montenegrin Academy of Sciences and Arts 100; The Section of Natural Sciences 13, 157-174 (2009).
MSC:  90C30 90C46 90C53
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On the Newton-type method with admissible trajectories for mixed complementarity problems. (English. Russian original) Zbl 1126.49026

Autom. Remote Control 68, No. 2, 351-360 (2007); translation from Avtom. Telemekh. 68, No. 2, 152-161 (2007).
MSC:  49M15 90C33 65K05
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On attraction effect of Newton’s method towards critical Lagrange multipliers. (Russian) Zbl 1184.65064

Evtushenko, Yu. G. (ed.), Теоретические и прикладные задачи нелинейного анализа. Moscow: Rossiĭskaya Akademiya Nauk, Vychislitel’nyĭTsentr im. A. A. Dorodnitsyna (ISBN 5-201-09853-3). 23-38 (2006).
MSC:  65K05 49M15
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A class of Newton’s methods for nonlinear complementary problems. (Russian) Zbl 1184.65065

Evtushenko, Yu. G. (ed.), Теоретические и прикладные задачи нелинейного анализа. Moscow: Rossiĭskaya Akademiya Nauk, Vychislitel’nyĭTsentr im. A. A. Dorodnitsyna (ISBN 5-201-09853-3). 3-22 (2006).
MSC:  65K05 90C30 90C31
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A strictly feasible Newton method for mixed complementarity problems. (English) Zbl 1115.90379

Grebenicov, E. (ed.) et al., CERMCS international conference of young scientists affiliated to the international conference on computer algebra in scientific computing 2006, (CASC 2006), Chişinău, Moldova, September 11–15, 2006. Communications. Chişinău: State University of Moldova, Centre of Education and Research in Mathematics and Computer Science, CERMCS; Chişinău: Tech. Univ. of Moldova (ISBN 978-9975-70-677-3/pbk). 38-43 (2006).
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A class of Newtonian methods for finding singular solutions of nonlinear equations under weakened methods smoothness requirements. (Russian) Zbl 1154.65330

Bereznev, V. A. (ed.), Теоретические и прикладные задачи нелинейного анализа. Moscow: Rossiĭskaya Akademiya Nauk, Vychislitel’nyĭ Tsentr im. A. A. Dorodnitsyna (ISBN 5-201-09836-3/pbk). 62-75 (2005).
MSC:  65H10 90C33
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On the identification of active indices in mixed complementarity problems. (Russian) Zbl 1154.90597

Berenzev, V. A. (ed.), Problems of modeling and analysis in decision making problems. Moscow: Rossiĭskaya Akademiya Nauk, Vychislitel’nyĭTsentr im. A. A. Dorodnitsyna (ISBN 5-201-09814-2/pbk). 72-87 (2004).
MSC:  90C33
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Optimization problems with complementary constraints: regularity, optimality conditions and sensibility. (Russian, English) Zbl 1085.49035

Zh. Vychisl. Mat. Mat. Fiz. 44, No. 7, 1209-1228 (2004); translation in Comput. Math. Math. Phys. 44, No. 7, 1145-1164 (2004).
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Sensitivity analysis for abnormal optimization problems with a cone constraint. (Russian, English) Zbl 1114.90131

Zh. Vychisl. Mat. Mat. Fiz. 44, No. 4, 586-608 (2004); translation in Comput. Math. Math. Phys. 44, No. 4, 552-574 (2004).
MSC:  90C31 90C33
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The theory of 2-regularity for mappings with Lipschitz derivatives and its applications. (Russian) Zbl 1137.90716

Bereznev, V.A. (ed.) et al., Voprosy modelirovaniya i analiza v zadachakh prinyatiya reshenij. Moscow: RAN, Rossijskaya Akademiya Nauk, Vychislitel’nyj Tsentr (ISBN 5-201-09764-2). 26-50 (2000).
MSC:  90C48 90C31 90C46
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On the gradient method in a Hilbert space in the case of nonisolated minima. (English. Russian original) Zbl 0964.90058

Comput. Math. Math. Phys. 39, No. 4, 521-524 (1999); translation from Zh. Vychisl. Mat. Mat. Fiz. 39, No. 4, 5459-552 (1999).
MSC:  90C48 90C52 46N10
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Application of nonsmooth optimization methods to solving nonlinear operator equations. (English. Russian original) Zbl 0967.65071

Comput. Math. Math. Phys. 38, No. 9, 1391-1399 (1998); translation from Zh. Vychisl. Mat. Mat. Fiz. 38, No. 9, 1452-1460 (1998).
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