Complete solutions and extremality criteria to polynomial optimization problems
From MaRDI portal
Publication:2505557
DOI10.1007/s10898-005-3068-5zbMath1104.90038OpenAlexW2018954655MaRDI QIDQ2505557
Publication date: 26 September 2006
Published in: Journal of Global Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10898-005-3068-5
global optimizationdualitycritical point theorynonlinear programmingNP-hard problempolynomial minimization
Nonconvex programming, global optimization (90C26) Optimality conditions and duality in mathematical programming (90C46)
Related Items (14)
Global solutions to nonconvex optimization of 4th-order polynomial and log-sum-exp functions ⋮ Canonical duality for solving nonconvex and nonsmooth optimization problem ⋮ Canonical Dual Approach for Minimizing a Nonconvex Quadratic Function over a Sphere ⋮ Counterexamples to some triality and tri-duality results ⋮ Global optimal solutions to a class of quadrinomial minimization problems with one quadratic constraint ⋮ Global minimization using an augmented Lagrangian method with variable lower-level constraints ⋮ Solutions and optimality criteria for nonconvex quadratic-exponential minimization problem ⋮ On modeling and global solutions for d.c. optimization problems by canonical duality theory ⋮ 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 ⋮ Optimal solutions to a class of nonconvex minimization problems with linear inequality constraints ⋮ 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 ⋮ Minimal distance between two non-convex surfaces
Cites Work
- Unnamed Item
- Analytic solutions and triality theory for nonconvex and nonsmooth variational problems with applications
- Finite deformation beam models and triality theory in dynamical post-buckling analysis
- Canonical duality theory and solutions to constrained nonconvex quadratic programming
- Duality principles in nonconvex systems. Theory, methods and applications
- Minimizing polynomials via sum of squares over the gradient ideal
- Global Optimization with Polynomials and the Problem of Moments
- 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*
- Introduction to global optimization.
- Canonical dual transformation method and generalized triality theory in nonsmooth global optimization
This page was built for publication: Complete solutions and extremality criteria to polynomial optimization problems
