Inverse complements of a matrix and applications

K. Nayan Bhat, Manjunatha Prasad Karantha, N. Eagambaram

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)


In this paper, the concept of "Inverse Complemented Matrix Method", introduced by Eagambaram (2018), has been reestablished with the help of minus partial order and several new properties of complementary matrices and the inverse of complemented matrix are discovered. Class of generalized inverses and outer inverses of given matrix are characterized by identifying appropriate inverse complement. Further, in continuation, we provide a condition equivalent to the regularity condition for a matrix to have unique shorted matrix in terms of inverse complemented matrix. Also, an expression for shorted matrix in terms of inverse complemented matrix is given.

Original languageEnglish
Article number2150144
JournalJournal of Algebra and Its Applications
Publication statusPublished - 08-2021

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory
  • Applied Mathematics


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