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非线性互补问题的凝聚同伦方法 被引量:2

The Aggregate Homotopy Method of Nonmonotone Complementarity Problems
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摘要 给出凝聚函数的性质,利用凝聚函数构造同伦方程,证明了同伦路径的存在性,有界性和收敛性,给出非单调函数拟P_*-映射满足严格可行条件时所对应的互补问题的可解性. The properties of the aggregate function are given, a homotopy equation is constructed by using aggregate function, the solvability of the complementarity problems that corresponded by nonlinear functions which are quasi-P*-mapping, under the strictly feasible condition, is given.
出处 《数学的实践与认识》 北大核心 2017年第24期194-198,共5页 Mathematics in Practice and Theory
基金 国家自然科学基金(10771020) 吉林省自然科学基金(201215128 20101597)
关键词 互补问题 凝聚函数 同伦方法 the complementarity problem aggregate function Homotopy method.
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