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Existence Criteria and Related Relation of the gMP Inverse of Matrices

Author

Listed:
  • Sanzhang Xu

    (Faculty of Mathematics and Physics, Huaiyin Institute of Technology, Huaian 223003, China)

  • Honglin Zou

    (College of Basic Science, Zhejiang Shuren University, Hangzhou 310015, China)

  • Kezheng Zuo

    (Teaching Section of Mathematics, Hubei Engineering Institute, Huangshi 435002, China)

Abstract

New characterizations of the gMP inverse are provided by the core part of the core-EP decomposition. We also answer the question as to whether X is the gMP inverse of A under the conditions of R ( X ) ⊆ R ( A * A k ) or N ( ( A k ) * ) ⊆ N ( X ) . We investigate the relationship between the core-EP inverse and the gMP inverse.Using the gMP inverse, the gMP relation is investigated in view of the core-EP decomposition.

Suggested Citation

  • Sanzhang Xu & Honglin Zou & Kezheng Zuo, 2024. "Existence Criteria and Related Relation of the gMP Inverse of Matrices," Mathematics, MDPI, vol. 12(13), pages 1-12, June.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:13:p:1972-:d:1422057
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