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求解凸二次规划的一种改进的原-对偶内点算法 被引量:1

Improved Primal-dual Feasible Interior Point Algorithm for Convex Quadratic Programming
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摘要 基于牛顿方向,给出了求解凸二次规划问题的改进原对偶可行内点算法。若获得算法的初始可行内点,则该算法经过多次迭代之后收敛到原问题的一个最优解。数值试验表明了该算法的有效性。 In this paper we analyzed the most common algorithms to quadratic programming and indicated difficulty in studying this problem.Based on above,we presented an improved primal-dual feasible interior point algorithm for convex quadratic programming by means of the Newton direction.It is showed that if a strictly feasible starting point is available,then the algorithms have the polynomial complexity.Numerical results are demonstrated very good computational performance on convex quadratic programming.
出处 《长江大学学报(自科版)(上旬)》 CAS 2009年第2期126-128,共3页 JOURNAL OF YANGTZE UNIVERSITY (NATURAL SCIENCE EDITION) SCI & ENG
关键词 凸二次规划 原对偶可行内点算法 多项式复杂性 convex quadratic programming primal-dual interior point algorithm polynomial complexity
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