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 -