On a generalised inverse of a matrix and applications

Mitra, Sujit Kumar (1968) On a generalised inverse of a matrix and applications Sankhya - Series A, 30 (1). pp. 107-114. ISSN 0581-572X

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Abstract

As a sequel to Rao (1967) this paper develops further the concept of generalised inverse (g-inverse) of a matrix. The class of g-inverses with the reflexive property is characterised. General solutions (X) are obtained for the matrix equations XBX = X and BXBXB = BXB.

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