2012•Journal of Fujian Normal UniversityRequires access

Existence and Uniqueness of K..S..H Search Direction of Interior Point Algorithms for a Class of Quadratic Semidefinite Programming

Shenggui Zhang

Abstract

The primal dual algorithm for semidefinite programming is generalized to solve a class of quadratic semidefinite programming.The K..S..H direction of the algorithm is obtained via solving asystem of nonlinear equations by the classic Newton method,and the existence and uniqueness of the direction is proved.

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Key concepts: Semidefinite programming, Uniqueness, Mathematics, Semidefinite embedding, Quadratically constrained quadratic program, Interior point method, Class (philosophy), Positive-definite matrix