Canonical duality for solving nonconvex and nonsmooth optimization problem

DOI10.1007/s11081-008-9061-3zbMath1171.65048OpenAlexW1964780654MaRDI QIDQ833455

Jing Liu, Yan Gao, David Yang Gao

Publication date: 12 August 2009

Published in: Optimization and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11081-008-9061-3

zbMATH Keywords

global optimizationnonsmooth optimizationnumerical examplescanonical duality theory

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Nonconvex programming, global optimization (90C26)

Related Items (1)

On two triality results

Cites Work

• Unnamed Item
• Proximity control in bundle methods for convex nondifferentiable minimization
• A trust region algorithm for minimization of locally Lipschitzian functions
• Canonical duality theory and solutions to constrained nonconvex quadratic programming
• Duality principles in nonconvex systems. Theory, methods and applications
• General analytic solutions and complementary variational principles for large deformation nonsmooth mechanics
• Solutions and optimality criteria to box constrained nonconvex minimization problems
• Complete solutions and extremality criteria to polynomial optimization problems
• Geometric nonlinearity: potential energy, complementary energy, and the gap function
• Conditions for convergence of trust region algorithms for nonsmooth optimization
• A Version of the Bundle Idea for Minimizing a Nonsmooth Function: Conceptual Idea, Convergence Analysis, Numerical Results
• Duality, triality and complementary extremum principles in non-convex parametric variational problems with applications
• Perfect duality theory and complete solutions to a class of global optimization problems*

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