Method to Transform a Kind of Semi-positive Quadratic Problem into Positive Quadratic Problem

In this paper we consider a kind of semi-positive definite quadratic programming, and describe a method to transform the original problem into serial positive definite quadratic programs under certain conditions. Thus we are able to solve the semi-positive definite quadratic programming as positive definite quadratic programming. Then we construct an iterative algorithm for solving sequence positive definite quadratic programming, and the algorithm can be stop in limited steps.