闵可夫斯基逆在闵可夫斯基空间中的进一步表征与表示

IF 1.8 3区 数学 Q1 MATHEMATICS
Jiale Gao, Qingwen Wang, Kezheng Zuo, Jiabao Wu
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引用次数: 0

摘要

本文给出了Minkowski空间中Minkowsky逆的一些新的刻画和表示。首先,为了表示Minkowski逆,给出了$\{1,3^{\mathfrak{m}}\}$-,$\{1,2,3^{\ mathfrak{m}}\}$,$\{1,2,4^{\mathfrak{m}\}$和$\{1,24,^{\mathfrak{m}}}$逆的几个表示。其次,将Moore-Penrose逆的一些著名性质推广到Minkowski逆的性质。第三,使用Hartwig-Spindelböck分解,我们给出了Minkowski逆的一个表示。在此基础上,用秩方程给出了Minkowski逆的一个有趣的性质。最后,我们以更一般的形式得到了Minkowski逆的几个新表示,并由此给出了一类块矩阵的Minkowsky逆。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Further characterizations and representations of the Minkowski inverse in Minkowski space
This paper serves to identify some new characterizations and representations of the Minkowski inverse in Minkowski space. First of all, a few representations of $ \{1, 3^{\mathfrak{m}}\} $-, $ \{1, 2, 3^{\mathfrak{m}}\} $-, $ \{1, 4^{\mathfrak{m}}\} $- and $ \{1, 2, 4^{\mathfrak{m}}\} $-inverses are given in order to represent the Minkowski inverse. Second, some famous characterizations of the Moore-Penrose inverse are extended to that of the Minkowski inverse. Third, using the Hartwig-Spindelböck decomposition, we present a representation of the Minkowski inverse. And, based on this result, an interesting characterization of the Minkowski inverse is showed by a rank equation. Finally, we obtain several new representations of the Minkowski inverse in a more general form, by which the Minkowski inverse of a class of block matrices is given.
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来源期刊
AIMS Mathematics
AIMS Mathematics Mathematics-General Mathematics
CiteScore
3.40
自引率
13.60%
发文量
769
审稿时长
90 days
期刊介绍: AIMS Mathematics is an international Open Access journal devoted to publishing peer-reviewed, high quality, original papers in all fields of mathematics. We publish the following article types: original research articles, reviews, editorials, letters, and conference reports.
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