在线阅读 --自然科学版 2003年4期《正定矩阵半群》
正定矩阵半群--[在线阅读]
林鹄1, 赵建丛2
1. 上海徐汇区业余大学经济管理系, 上海 200032;

2. 河北农业大学基础部, 河北保定 073100
起止页码: 335--336页
DOI:
摘要
Pn(R)表示所有n×n实正定矩阵的集合,用Pn(A)表示使得AB+BA正定的n×n实矩阵B的全体.对正定矩阵A证明了Pn(A)是Pn(R)的子半群,作为半群二者同构.

Semi-groups of Positively Definite Matrices
LIN Hu1, ZHAO Jian-cong2
1. Department of Economics and Management, Shanghai Xuhui Local University, Shanghai 200032, China;
2. Department of Foundations, Hebei Agricultural University, Hebei Baoding 073100, China
Abstract:
Let Pn(R) be the semi group of all n by n positively definite matrices and let Pn(A) be the set of all n by n real matrices such that AB+BA are positively definite.It is proved that Pn(A) is a subsemigroup of the semi group Pn(R),and there is a semi group isomorphism between Pn(A) and Pn(R) .

收稿日期: 2003-3-10
基金项目:

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