Analytic solutions and triality theory for nonconvex and nonsmooth variational problems with applications

From MaRDI portal
Publication:1586659

DOI10.1016/S0362-546X(99)00129-7zbMath0983.49024OpenAlexW1983775864MaRDI QIDQ1586659

David Yang Gao

Publication date: 7 April 2002

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(99)00129-7




Related Items

Complementary Principle, Algorithm, and Complete Solutions to Phase Transitions in Solids Governed by Landau-Ginzburg EquationMulti-scale modelling and canonical dual finite element method in phase transitions of solidsGlobal solutions to fractional programming problem with ratio of nonconvex functionsRobust canonical duality theory for solving nonconvex programming problems under data uncertaintyAnalytical solutions to general anti-plane shear problems in finite elasticityCanonical Duality-Triality Theory: Unified Understanding for Modeling, Problems, and NP-Hardness in Global Optimization of Multi-Scale SystemsSolutions and optimality criteria for nonconvex quadratic-exponential minimization problemCanonical Duality Theory: Connections between Nonconvex Mechanics and Global OptimizationOn modeling and complete solutions to general fixpoint problems in multi-scale systems with applicationsA nonconvex dissipative system and its applications. IIGlobal optimization by canonical dual functionConvergence analysis of nonmonotone Levenberg-Marquardt algorithms for complementarity problemCanonical dual least square method for solving general nonlinear systems of quadratic equationsComplete solutions and extremality criteria to polynomial optimization problemsA Levenberg-Marquardt method for nonlinear complementarity problems based on nonmonotone trust region and line search techniquesA study on concave optimization via canonical dual functionOptimal solutions to a class of nonconvex minimization problems with linear inequality constraintsPerfect duality theory and complete solutions to a class of global optimization problems*Solutions and optimality criteria for nonconvex constrained global optimization problems with connections between canonical and Lagrangian dualityMinimal distance between two non-convex surfaces



Cites Work