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Characterizations of the Generalized MPCEP Inverse of Rectangular Matrices

Author

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  • Jiaxuan Yao
  • Xiaoji Liu
  • Hongwei Jin
  • Juan Manuel Peña

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.

Suggested Citation

  • Jiaxuan Yao & Xiaoji Liu & Hongwei Jin & Juan Manuel Peña, 2023. "Characterizations of the Generalized MPCEP Inverse of Rectangular Matrices," Journal of Applied Mathematics, Hindawi, vol. 2023, pages 1-10, March.
    • Handle: RePEc:hin:jnljam:6235312
    DOI: 10.1155/2023/6235312
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