Characterizations of the Generalized MPCEP Inverse of Rectangular Matrices

Jiaxuan Yao, Xiaoji Liu, Hongwei Jin and Juan Manuel Peña

Journal of Applied Mathematics, 2023, vol. 2023, 1-10

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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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:6235312

DOI: 10.1155/2023/6235312

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