Standard bi-quadratic optimization problems and unconstrained polynomial reformulations
type: Item
instance of: scholarly article
title: Standard bi-quadratic optimization problems and unconstrained polynomial reformulations
zbMATH Open document ID: 1268.90085
author: Immanuel M. Bomze
author: Chen Ling
author: Liqun Qi
author: Xinzhen Zhang
published in: Journal of Global Optimization
publication date: 2012-06-13T00:00:00Z
Mathematics Subject Classification ID: 90C30
Mathematics Subject Classification ID: 90C46
zbMATH DE Number: 6046185
zbMATH Keywords: polynomial optimization
zbMATH Keywords: standard simplex
zbMATH Keywords: bi-quartic optimization
zbMATH Keywords: optimality conditions
zbMATH Keywords: penalty function
MaRDI profile type: Publication
full work available at URL: s10898-011-9710-5
OpenAlex ID: W2160447507
cites work: On standard quadratic optimization problems
cites work: Q3145799
cites work: Unconstrained formulation of standard quadratic optimization problems
cites work: Quartic formulation of standard quadratic optimization problems
cites work: Multi-standard quadratic optimization: Interior point methods and cone programming reformulation
cites work: Positive semidefinite biquadratic forms
cites work: A tensor product matrix approximation problem in quantum physics
cites work: Can Quantum-Mechanical Description of Physical Reality Be Considered Complete?
cites work: Conditions for strong ellipticity of anisotropic elastic materials
cites work: On the ellipticity of the equations of nonlinear elastostatics for a special material
cites work: Biquadratic Optimization Over Unit Spheres and Semidefinite Programming Relaxations
cites work: Q4400649
cites work: Q4887226
cites work: A GRASP for the biquadratic assignment problem
cites work: A New and Efficient Algorithm for a Class of Portfolio Selection Problems
cites work: Conditions for strong ellipticity and M-eigenvalues
cites work: Ellipticity and deformations with discontinuous gradients in finite elastostatics
cites work: A Conic Duality Frank–Wolfe-Type Theorem via Exact Penalization in Quadratic Optimization
cites work: A first-order interior-point method for linearly constrained smooth optimization
cites work: A reformulation of the strong ellipticity conditions for unconstrained hyperelastic media
cites work: A practical method for computing the largestM-eigenvalue of a fourth-order partially symmetric tensor
cites work: New modified function method for global optimization
cites work: On global optimizations with polynomials
DOI: 10.1007/S10898-011-9710-5
description: scientific article; zbMATH DE number 6046185