Accession Number:

AD0702870

Title:

QUADRATIC FORMS SEMI-DEFINITE OVER CONVEX CONES.

Descriptive Note:

Technical rept.,

Corporate Author:

STANFORD UNIV CALIF OPERATIONS RESEARCH HOUSE

Report Date:

1967-08-18

Pagination or Media Count:

28.0

Abstract:

A differentiable function on a convex set K is said to be K-flat if its gradient vanishes at each of its zeros belonging to K. K-flatness of quadratic forms implies their constrained semi-definiteness. This furnishes a useful characterization of positive semi-definite matrices when K is the whole space and copositive-plus matrices when K is the non-negative orthant. Parallel comparisions between these classes of matrices are made. Author

Subject Categories:

  • Operations Research

Distribution Statement:

APPROVED FOR PUBLIC RELEASE