• ON GENERALIZED INVERSES OF q-k-EP MATRICES

Dr. K. GUNASEKARAN, Mrs. K. GNANABALA*

Abstract


In this chapter, existence of the group inverse for q-k-EP matrices is investigated. Equivalent conditions for various generalized inverses of a q-k-EPr matrix to be q-k-EPr are determined. Validity of the reverse order law for the Moore-Penrose inverse of the product of q-k-EPr matrices is discussed.


Keywords


Moore-Penrose Inverse, Quaternion matrix, Range hermitian k-EP matrices, Generalized inverses of matrices.

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