
Accession Number : ADA116173
Title : Conjugate Cone Characterization of Positive Definite and Semidefinite Matrices.
Descriptive Note : Technical summary rept.,
Corporate Author : WISCONSIN UNIVMADISON MATHEMATICS RESEARCH CENTER
Personal Author(s) : Han,S P ; Mangasarian,O L
PDF Url : ADA116173
Report Date : May 1982
Pagination or Media Count : 23
Abstract : Positive definite matrices are those which give rise to positive values of the associated quadratic forms for all nonzero values of the variables. In optimization problems very often the variables are restricted by inequalities, typically nonnegativity requirements. In this work we characterize positive definite matrices in terms of positive definiteness over restricted variables. This has useful implications for optimization problems. (Author)
Descriptors : *Quadratic equations, *Matrices(Mathematics), *Conical bodies, Value, Convex bodies, Variables, Optimization, Symmetry, Orthogonality
Subject Categories : Theoretical Mathematics
Distribution Statement : APPROVED FOR PUBLIC RELEASE