Title
Global Minimization of a Multivariate Polynomial using Matrix Methods
Abstract
The problem of minimizing a polynomial function in several variables over Rn is considered and an algorithm is given. When the polynomial has a minimum the algorithm returns the global minimal value and finds at least one point in every connected component of the set of minimizers. A characterization of such points is given. When the polynomial does not have a minimum the algorithm computes its infimum. No assumption is made on the polynomial.
Year
DOI
Venue
2003
10.1023/A:1024664432540
Journal of Global Optimization
Keywords
DocType
Volume
Algebraic functions,Connected components,Eigenvalue problems,Global minimum,Infimum,Gröbner bases,Polynomial matrices,Polynomial optimization
Journal
27
Issue
ISSN
Citations 
1
1573-2916
21
PageRank 
References 
Authors
2.09
3
2
Name
Order
Citations
PageRank
Bernard Hanzon1499.54
Dorina Jibetean2464.17