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...

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Published inTWMS journal of applied and engineering mathematics Vol. 11; no. 3; p. 795
Main Authors Krishnaswamy, D, Narayanasamy, A
Format Journal Article
LanguageEnglish
Published Istanbul Turkic World Mathematical Society 01.07.2021
Elman Hasanoglu
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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.
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ISSN:2146-1147
2146-1147