QUADRATIC FORMS SEMI-DEFINITE OVER CONVEX CONES.
STANFORD UNIV CALIF OPERATIONS RESEARCH HOUSE
Pagination or Media Count:
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
- Operations Research