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水平线性互补问题中常用矩阵对及其性质 被引量:1

The properties of common matrix pair of the horizontal linear complementarity problems
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摘要 首先给出正定矩阵的推广正定矩阵对的定义,然后,给出P*-矩阵对和各类矩阵对的定义以及各类矩阵对的关系,并获得各类矩阵对的等价定义。 First the definition of the positive matrix pair, an positive definite matrix extension, is given. Then we discuss the definition of Pn-and some kinds of matrix pair, and the relationship among the matrix pairs. Finally the equivalent definition of the matrix pairs are obtained.
出处 《长春工业大学学报》 CAS 2013年第2期121-126,共6页 Journal of Changchun University of Technology
基金 国家自然科学基金资助项目(10071020) 吉林省自然科学基金资助项目(201215128 20101597)
关键词 正定矩阵对 半正定矩阵对 Pn-矩阵对 水平线性互补 the positive definite matrix pairsn the positive semi-definite matrix pairs the Pn -matrixpairs~ horizontal linear complementation.
作者简介 王秀玉(1965-),女,汉族,吉林长春人,长春工业大学副教授,硕士,主要从事优化理论与算法方向研究,E-mail:wangxiuyu@mail.ccut.edu.cn.
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