ON LOEWNER-ORDERING ANTITONICITY OF MATRIX INVERSION

ERKKI P. LISKI

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ON LOEWNER-ORDERING ANTITONICITY OF MATRIX INVERSION

机译：矩阵求逆的阶阶抗原

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摘要

A new condition for the antitonicity of the inverse of Hermitian matrices with respect to the Loewner partial ordering is derived. The basic result is established by applying directly an elementary formula for a sum of matrices.

机译：推导了相对于Loewner偏序的Hermitian矩阵逆的反张力的新条件。基本结果是通过直接对矩阵求和应用基本公式来建立的。

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来源
《Acta Mathematicae Applicatae Sinica》 |1996年第4期|p.435-442|共8页
作者
ERKKI P. LISKI;
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作者单位

Department of Mathematical Sciences, University of Tampere, Finland;

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收录信息美国《科学引文索引》(SCI);
原文格式 PDF
正文语种 eng
中图分类应用数学;
关键词
Hermitian; range-Hermitian; semidefinite matrices; Moore-Penrose inverse; sum of matrices;

机译：Hermitian;range-Hermitian;半定矩阵;Moore-Penrose逆;矩阵求和;

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ON LOEWNER-ORDERING ANTITONICITY OF MATRIX INVERSION

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