TY - JOUR

T1 - Outer Theta and Theta Outer Inverses

AU - Shenoy, Divya Purushothama

N1 - Publisher Copyright:
© 2022, IAENG International Journal of Applied Mathematics. All Rights Reserved.

PY - 2022

Y1 - 2022

N2 - In this paper, a new set of matrices - outer theta matrices and theta outer matrices are defined. These classes of matrices serve as outer inverses of (Formula Presented)where (Formula Presented) is the s-conjugate transpose of s-g inverse of A provided it exists. Certain characterizations of outer theta matrices and theta outer matrices are given here. Also, the integral and limit representations of both outer theta and theta outer matrices are explained. To demonstrate their application, some system of linear equations are solved using these matrices.

AB - In this paper, a new set of matrices - outer theta matrices and theta outer matrices are defined. These classes of matrices serve as outer inverses of (Formula Presented)where (Formula Presented) is the s-conjugate transpose of s-g inverse of A provided it exists. Certain characterizations of outer theta matrices and theta outer matrices are given here. Also, the integral and limit representations of both outer theta and theta outer matrices are explained. To demonstrate their application, some system of linear equations are solved using these matrices.

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M3 - Article

AN - SCOPUS:85143846907

SN - 1992-9978

VL - 52

JO - IAENG International Journal of Applied Mathematics

JF - IAENG International Journal of Applied Mathematics

IS - 4

M1 - IJAM_52_4_30

ER -