Global minimization of a multivariate polynomial using matrix methods
From MaRDI portal
Publication:1402540
DOI10.1023/A:1024664432540zbMath1035.90084MaRDI QIDQ1402540
Bernard Hanzon, Dorina Jibetean
Publication date: 28 August 2003
Published in: Journal of Global Optimization (Search for Journal in Brave)
Gröbner basesPolynomial matricesEigenvalue problemsAlgebraic functionsConnected componentsGlobal minimumInfimumPolynomial optimization
Symbolic computation and algebraic computation (68W30) Nonlinear programming (90C30) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10)
Related Items (15)
Representations of positive polynomials on noncompact semialgebraic sets via KKT ideals ⋮ Numerical investigation of a class of Liouville control problems ⋮ Equality-constrained minimization of polynomial functions ⋮ Algorithms for computing the global infimum and minimum of a polynomial function ⋮ Global minimization of multivariate polynomials using nonstandard methods ⋮ On polynomial optimization over non-compact semi-algebraic sets ⋮ Efficiency improvement in an \(n\)D systems approach to polynomial optimization ⋮ Proving inequalities and solving global optimization problems via simplified CAD projection ⋮ Parametric optimization and optimal control using algebraic geometry methods ⋮ Global optimization of rational functions: a semidefinite programming approach ⋮ Minimizing polynomials via sum of squares over the gradient ideal ⋮ Symmetric ideals, Specht polynomials and solutions to symmetric systems of equations ⋮ Semi-algebraically connected components of minimum points of a polynomial function ⋮ Perturbed sums-of-squares theorem for polynomial optimization and its applications ⋮ Control analysis and design via randomised coordinate polynomial minimisation
This page was built for publication: Global minimization of a multivariate polynomial using matrix methods
