Characterizations of the Generalized MPCEP Inverse of Rectangular Matrices

Jiaxuan Yao, Xiaoji Liu and Hongwei Jin

Journal of Applied Mathematics, 2023, vol. 2023, issue 1

Abstract: 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 Ax = 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.

Date: 2023
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https://doi.org/10.1155/2023/6235312

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2023:y:2023:i:1:n:6235312

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