Nonconvex optimization: From global optimality conditions to numerical methods

Mapping Intimacies ◽

10.1063/1.5089982 ◽

2019 ◽

Author(s):

Alexander Strekalovskiy

Keyword(s):

Numerical Methods ◽

Optimality Conditions ◽

Nonconvex Optimization ◽

Global Optimality ◽

Global Optimality Conditions

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Global Optimality Conditions in Nonconvex Optimization

Journal of Optimization Theory and Applications ◽

10.1007/s10957-016-0998-7 ◽

2017 ◽

Vol 173 (3) ◽

pp. 770-792 ◽

Cited By ~ 13

Author(s):

Alexander S. Strekalovsky

Keyword(s):

Optimality Conditions ◽

Nonconvex Optimization ◽

Global Optimality ◽

Global Optimality Conditions

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Global Optimality Conditions for Discrete and Nonconvex Optimization—With Applications to Lagrangian Heuristics and Column Generation

Operations Research ◽

10.1287/opre.1060.0292 ◽

2006 ◽

Vol 54 (3) ◽

pp. 436-453 ◽

Cited By ~ 14

Author(s):

Torbjörn Larsson ◽

Michael Patriksson

Keyword(s):

Optimality Conditions ◽

Column Generation ◽

Nonconvex Optimization ◽

Global Optimality ◽

Global Optimality Conditions ◽

Lagrangian Heuristics

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Global optimality conditions and optimization methods for constrained polynomial programming problems

Applied Mathematics and Computation ◽

10.1016/j.amc.2015.04.040 ◽

2015 ◽

Vol 262 ◽

pp. 312-325 ◽

Cited By ~ 1

Author(s):

Zhiyou Wu ◽

Jing Tian ◽

Julien Ugon ◽

Liang Zhang

Keyword(s):

Optimality Conditions ◽

Optimization Methods ◽

Global Optimality ◽

Global Optimality Conditions ◽

Polynomial Programming

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On global optimality conditions for D.C. minimization problems with D.C. constraints

Journal of Applied and Numerical Optimization ◽

10.23952/jano.3.2021.1.10 ◽

2021 ◽

Vol 3 (1) ◽

Keyword(s):

Optimality Conditions ◽

Global Optimality ◽

Global Optimality Conditions ◽

Minimization Problems

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Global Optimality Conditions for Quadratic Optimization Problems with Binary Constraints

SIAM Journal on Optimization ◽

10.1137/s1052623498336930 ◽

2000 ◽

Vol 11 (1) ◽

pp. 179-188 ◽

Cited By ~ 79

Author(s):

Amir Beck ◽

Marc Teboulle

Keyword(s):

Optimality Conditions ◽

Optimization Problems ◽

Quadratic Optimization ◽

Global Optimality ◽

Global Optimality Conditions ◽

Binary Constraints

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Global Optimality Conditions and Near-Perfect Optimization in Coding

Lecture Notes in Computer Science - Computing and Combinatorics ◽

10.1007/11533719_92 ◽

2005 ◽

pp. 915-924

Author(s):

Xiaofei Huang

Keyword(s):

Optimality Conditions ◽

Global Optimality ◽

Global Optimality Conditions

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Global optimality conditions for nonconvex minimization problems with quadratic constraints

Journal of Inequalities and Applications ◽

10.1186/s13660-015-0776-3 ◽

2015 ◽

Vol 2015 (1) ◽

Author(s):

Guoquan Li ◽

Zhiyou Wu ◽

Jing Quan

Keyword(s):

Optimality Conditions ◽

Global Optimality ◽

Global Optimality Conditions ◽

Quadratic Constraints ◽

Nonconvex Minimization ◽

Minimization Problems

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On global search based on global optimality conditions

System Modelling and Optimization - Lecture Notes in Control and Information Sciences ◽

10.1007/bfb0035474 ◽

1994 ◽

pp. 259-267

Author(s):

Alexander Strekalovsky

Keyword(s):

Optimality Conditions ◽

Global Search ◽

Global Optimality ◽

Global Optimality Conditions

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Global Optimality Conditions and their Geometric Interpretation for the Chemical and Phase Equilibrium Problem

SIAM Journal on Optimization ◽

10.1137/0805039 ◽

1995 ◽

Vol 5 (4) ◽

pp. 813-834 ◽

Cited By ~ 13

Author(s):

Y. Jiang ◽

W. R. Smith ◽

G. R. Chapman

Keyword(s):

Phase Equilibrium ◽

Optimality Conditions ◽

Equilibrium Problem ◽

Geometric Interpretation ◽

Global Optimality ◽

Global Optimality Conditions

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Global Optimality Conditions and Optimization Methods for Quadratic Knapsack Problems

Journal of Optimization Theory and Applications ◽

10.1007/s10957-011-9885-4 ◽

2011 ◽

Vol 151 (2) ◽

pp. 241-259 ◽

Cited By ~ 1

Author(s):

Z. Y. Wu ◽

Y. J. Yang ◽

F. S. Bai ◽

M. Mammadov

Keyword(s):

Optimality Conditions ◽

Optimization Methods ◽

Knapsack Problems ◽

Global Optimality ◽

Global Optimality Conditions ◽

Quadratic Knapsack

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