Solutions and optimality criteria to box constrained nonconvex minimization problems
From MaRDI portal
Publication:2469802
DOI10.3934/jimo.2007.3.293zbMath1171.90504OpenAlexW1968142821MaRDI QIDQ2469802
Publication date: 11 February 2008
Published in: Journal of Industrial and Management Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/jimo.2007.3.293
Nonconvex programming, global optimization (90C26) Quadratic programming (90C20) Numerical methods based on nonlinear programming (49M37) Duality theory (optimization) (49N15)
Related Items (33)
Stiffness design of a continuum under ill-load cases by fractional-norm objective formulation ⋮ Canonical duality for solving nonconvex and nonsmooth optimization problem ⋮ Multi-scale modelling and canonical dual finite element method in phase transitions of solids ⋮ Global solutions to fractional programming problem with ratio of nonconvex functions ⋮ A review of recent advances in global optimization ⋮ Robust canonical duality theory for solving nonconvex programming problems under data uncertainty ⋮ New semidefinite programming relaxations for box constrained quadratic program ⋮ Canonical Dual Approach for Minimizing a Nonconvex Quadratic Function over a Sphere ⋮ Topology Optimization of Structures Using an Adaptive Element-Free Galerkin Method ⋮ Global optimization over a box via canonical dual function ⋮ An improved lower bound and approximation algorithm for binary constrained quadratic programming problem ⋮ Canonical Duality-Triality Theory: Unified Understanding for Modeling, Problems, and NP-Hardness in Global Optimization of Multi-Scale Systems ⋮ A Novel Canonical Duality Theory for Solving 3-D Topology Optimization Problems ⋮ Complete solutions to general box-constrained global optimization problems ⋮ Global minimization using an augmented Lagrangian method with variable lower-level constraints ⋮ Solutions and optimality criteria for nonconvex quadratic-exponential minimization problem ⋮ On quadratically constrained quadratic optimization problems and canonical duality theory ⋮ On modeling and global solutions for d.c. optimization problems by canonical duality theory ⋮ On topology optimization and canonical duality method ⋮ Topology optimization via sequential integer programming and canonical relaxation algorithm ⋮ A low-dimensional SDP relaxation based spatial branch and bound method for nonconvex quadratic programs ⋮ Canonical Duality Theory: Connections between Nonconvex Mechanics and Global Optimization ⋮ On modeling and complete solutions to general fixpoint problems in multi-scale systems with applications ⋮ Applying the canonical dual theory in optimal control problems ⋮ Global optimization by canonical dual function ⋮ Solving the canonical dual of box- and integer-constrained nonconvex quadratic programs via a deterministic direct search algorithm ⋮ Canonical dual least square method for solving general nonlinear systems of quadratic equations ⋮ Solution to an optimal control problem via canonical dual method ⋮ Solutions to quadratic minimization problems with box and integer constraints ⋮ A study on concave optimization via canonical dual function ⋮ Solving the Karush-Kuhn-Tucker system of a nonconvex programming problem on an unbounded set ⋮ Augmented Lagrangians with possible infeasibility and finite termination for global nonlinear programming ⋮ Solutions and optimality criteria for nonconvex constrained global optimization problems with connections between canonical and Lagrangian duality
This page was built for publication: Solutions and optimality criteria to box constrained nonconvex minimization problems