On Sums of Conjugate Secondary Range k-Hermitian Matrices

S. Krishnamoorthy, K. Gunasekaran, B.K.N. Muthugobal

Abstract

The concept of sums of conjugate secondary range k-hermitian matrix (con-s-k-EP) is introduced. The characterizations of con-s-k-EP matrices are obtained. Relations among con-EP, con-s-EP, con-k-EP and con-s-k-EP matrices are discussed. Necessary and sufficient conditions are determined for a matrix to be con-s-k-EPr (con-s-k-EP and of rank r).