Outer Theta and Theta Outer Inverses

Abstract-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 (A†s)θ where (A†s)θ is the s-conjugate transpose of s-g inverse of A provided it exists. Certain characterizations of outer theta matrices a...

Full description

Saved in:
Bibliographic Details
Published in:IAENG international journal of applied mathematics 2022-12, Vol.52 (4), p.1-5
Main Author: Shenoy, Divya Purushothama
Format: Article
Language:English
Subjects:
Linear equations
Mathematical analysis
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Abstract-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 (A†s)θ where (A†s)θ 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.
ISSN:1992-9978
1992-9986