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

被引:0
作者
Krishnaswamy, D. [1 ]
Narayanasamy, A. [1 ]
机构
[1] Annamalai Univ, Dept Math, Annamalainagar 608002, Tamil Nadu, India
来源
TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS | 2021年 / 11卷 / 03期
关键词
Indefinite inner product; Re-nnd solutions; matrix equation; POSITIVE-DEFINITE SOLUTIONS; INVERSE PROBLEM AX; NONNEGATIVE-DEFINITE; SYMMETRIC-SOLUTIONS; REFLEXIVE SOLUTIONS;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we first consider the matrix equation AXA([)*(]) = C , where A is an element of C-nxm , C is an element of C-nxn 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.
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页码:795 / 803
页数:9
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