THE RE-NND SOLUTIONS OF THE MATRIX EQUATION AXB = C WITH REFERENCE TO INDEFINITE INNER PRODUCT

In this paper, we first consider the matrix equation AX[A.sup.[*]] = C, where A [member of] [C.sup.n*m], C [member of] [C.sup.n*n] and establish necessary and sufficient conditions for the existence of Re-nnd solutions. Further, we determine the necessary and sufficient conditions for the existence...

Full description

Saved in:
Bibliographic Details
Published in:TWMS journal of applied and engineering mathematics 2021-07, Vol.11 (3), p.795
Main Authors: Krishnaswamy, D, Narayanasamy, A
Format: Article
Language:English
Subjects:
Backup software
Investigations
Mathematics
Product introduction
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this paper, we first consider the matrix equation AX[A.sup.[*]] = C, where A [member of] [C.sup.n*m], C [member of] [C.sup.n*n] and establish necessary and sufficient conditions for the existence of Re-nnd solutions. Further, we determine the necessary and sufficient conditions for the existence of Re-nnd solutions of the equation AXB=C. Keywords: Indefinite inner product, Re-nnd solutions, matrix equation. AMS Subject Classification: 15A09, 46C20, 47B20.
ISSN:2146-1147
2146-1147