Two New Matrix Classes Related to the CMP Inverse: CMP and Co-CMP Matrices

Yinlan Chen (), Jiale Gao and Kezheng Zuo
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Yinlan Chen: School of Mathematics and Statistics, Hubei Normal University, Huangshi 435002, China
Jiale Gao: School of Mathematics and Statistics, Hubei Normal University, Huangshi 435002, China
Kezheng Zuo: School of Mathematics and Statistics, Hubei Normal University, Huangshi 435002, China

Mathematics, 2023, vol. 11, issue 17, 1-11

Abstract: This paper focuses on two new matrix classes related to the CMP inverse of a square matrix, called the CMP and co-CMP matrices. Some of their characterizations are identified based on the core-EP decomposition and subspace operations. And, we show an equivalence relationship between the co-CMP matrix set and the intersection of the core matrix set and the co-EP matrix set. The nonsingularity of other matrices closely associated with the co-CMP matrices is considered, and their inverses are presented in a decomposition form.

Keywords: CMP matrix; co-CMP matrix; CMP inverse; core-EP decomposition (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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