矩形矩阵广义MPCEP逆的刻画

J. Appl. Math. Pub Date : 2023-03-29 DOI:10.1155/2023/6235312

Jiaxuan Yao, Xiaoji Liu, Hongwei Jin

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引用次数: 0

摘要

本文引入了一种新的广义逆，称为复矩阵的G-MPCEP逆。我们研究了这个新逆的一些表征、表示和性质。给出了求解奇异方程a x = B的Cramer规则。此外，还研究了G-MPCEP逆的行列式表示。最后，建立了G-MPCEP逆函数用于求解合适的线性方程组。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Characterizations of the Generalized MPCEP Inverse of Rectangular Matrices

In this paper, we introduce a new generalized inverse, called the G-MPCEP inverse of a complex matrix. We investigate some characterizations, representations, and properties of this new inverse. Cramer’s rule for the solution of a singular equation A x = B is also presented. Moreover, the determinantal representations for the G-MPCEP inverse are studied. Finally, the G-MPCEP inverse being used in solving appropriate systems of linear equations is established.

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J. Appl. Math.

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