Two New Matrix Classes Related to the CMP Inverse: CMP and Co-CMP Matrices
Yinlan Chen,
Jiale Gao,
Kezheng Zuo
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 decom… Show more
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