%0 Journal Article
%T A New Sequential Systems of Linear Equations Algorithm Without Strict Complementary Slackness<br>无严格互补松驰条件的序列线性方程组新算法
%A GAO Zi-You
%A Ren Hua-Ling
%A HE Guo-Ping
%A <br>高自友
%A 任华玲
%A 贺国平
%J 数学物理学报(A辑)
%D 2004
%I 
%X In this paper, a new algorithm of sequential systems of linear equations (SSLE) with arbitrary initial point is proposed by constructing a special active constraints set. Only one or two systems of linear equations with the same coefficient matrix are solved per iteration. The algorithm is globally convergent. It worths to point out that the algorithm still has one -step superlinear convergence under some weaker assumptions, for instance, without the strict complementary slackness condition.
%K Nonlinear problem
%K Sequential Systems of Linear Equations Algorithm
%K Global convergence
%K Strict complementary slackness
%K Super-linear convergence<br>非线性规划
%K 序列线性方程组算法
%K 严格互补松弛
%K 全局收敛性
%K 超线性收敛性
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=4DB553CDB5F521D8C921082E5C95EC80&aid=72B900A80E28237E&yid=D0E58B75BFD8E51C&vid=B91E8C6D6FE990DB&iid=38B194292C032A66&sid=7979125BBE749348&eid=03E56C113B4E5A88&journal_id=1003-3998&journal_name=数学物理学报(A辑)&referenced_num=0&reference_num=20