Inverse complements of a matrix and applications

Bhat, Nayan K and Prasad, Manjunatha K (2021) Inverse complements of a matrix and applications. Journal of Algebra and Its Applications, 20 (8). pp. 1-12. ISSN 0219-4988

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Abstract

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.

Item Type: Article
Uncontrolled Keywords: Generalized inverse; ICM method; shorted matrix.
Subjects: Departments at MU > Public Health
Depositing User: KMC Library
Date Deposited: 25 Mar 2022 06:21
Last Modified: 25 Mar 2022 06:21
URI: http://eprints.manipal.edu/id/eprint/158435

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