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

Author

Listed:
  • 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)

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.

Suggested Citation

  • Yinlan Chen & Jiale Gao & Kezheng Zuo, 2023. "Two New Matrix Classes Related to the CMP Inverse: CMP and Co-CMP Matrices," Mathematics, MDPI, vol. 11(17), pages 1-11, August.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:17:p:3692-:d:1226725
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