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New Mehrotra's second order predictor-corrector algorithm for P_*(κ) linear complementarity problems
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作者 Mingwang Zhang Yanli Lu 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2010年第4期705-712,共8页
It has been shown in various papers that most interior-point algorithms for linear optimization and their analysis can be generalized to P_*(κ) linear complementarity problems.This paper presents an extension of t... It has been shown in various papers that most interior-point algorithms for linear optimization and their analysis can be generalized to P_*(κ) linear complementarity problems.This paper presents an extension of the recent variant of Mehrotra's second order algorithm for linear optimijation.It is shown that the iteration-complexity bound of the algorithm is O(4κ + 3)√14κ + 5 nlog(x0)Ts0/ε,which is similar to that of the corresponding algorithm for linear optimization. 展开更多
关键词 linear complementarity problem P_*(κ)-matrix Mehrotra-type predictor-corrector algorithm polynomial complexity.
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P_*(κ)线性互补问题的预估-校正内点算法
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作者 刘新泽 刘红卫 刘长河 《吉林大学学报(理学版)》 CAS CSCD 北大核心 2013年第5期789-794,共6页
通过修正大邻域跟踪算法的搜索方向,提出一种新的求解P*(κ)线性互补问题(LCP)的不可行预估-校正内点算法,并对算法进行了收敛性分析,证明了该算法具有目前最好的理论复杂度O((1+κ)5/2nL).数值结果验证了算法的有效性.
关键词 线性互补问题 内点算法 预估-校正算法 多项式复杂度
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