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

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

D. Krishnaswamy, A. Narayanasamy

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Abstract

In this paper, we rst consider the matrix equation AXA[] = C , where A 2 Cnm; C 2 Cnn and establish necessary and sucient conditions for the existence of Re-nnd solutions. Further, we determine the necessary and sucient conditions for the existence of Re-nnd solutions of the equation AXB=C.

Keywords

Indenite inner product, Re-nnd solutions, matrix equation.