Accession Number : ADA116173

Title :   Conjugate Cone Characterization of Positive Definite and Semidefinite Matrices.

Descriptive Note : Technical summary rept.,

Corporate Author : WISCONSIN UNIV-MADISON 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