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The weak core inverse
Aequationes Mathematicae ( IF 0.9 ) Pub Date : 2020-08-27 , DOI: 10.1007/s00010-020-00752-z
D. E. Ferreyra , F. E. Levis , A. N. Priori , N. Thome

In this paper, we introduce a new generalized inverse, called weak core inverse (or, in short, WC inverse) of a complex square matrix. This new inverse extends the notion of the core inverse defined by Baksalary and Trenkler (Linear Multilinear Algebra 58(6):681–697, 2010). We investigate characterizations, representations, and properties for this generalized inverse. In addition, we introduce weak core matrices (or, in short, WC matrices) and we show that these matrices form a more general class than that given by the known weak group matrices, recently investigated by H. Wang and X. Liu.



中文翻译:

弱芯逆

在本文中,我们介绍了一种新的广义逆,称为复方阵的弱核逆(或简称为WC逆)。这个新的逆扩展了Baksalary和Trenkler定义的核心逆的概念(线性多线性代数58(6):681–697,2010)。我们研究此广义逆的特征,表示和性质。此外,我们介绍了弱核心矩阵(或简称为WC矩阵),并且我们证明这些矩阵比已知的弱群矩阵给出的类更通用,H。Wang和X. Liu最近对其进行了研究。

更新日期:2020-08-27
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