• ON RANGE QUATERNION HERMITIAN MATRICES

K. GUNASEKARAN, S. SRIDEVI*

Abstract


The concept of range quaternion hermitian (q-EP) matrices is introduced as a generalization of quaternion hermitian and EP matrices. Necessary and sufficient conditions are determined for a matrix to be q-EPr (q - EP and rank r), Equivalent characterization of q - EP matrix are equivalent characterization at q- EP matrixes are discussed. As an application, it is shown that the class of all EP matrices having the same range space form a group under multiplication.


Keywords


The concept of range quaternion hermitian (q-EP) matrices is introduced as a generalization of quaternion hermitian and EP matrices. Necessary and sufficient conditions are determined for a matrix to be q-EPr (q - EP and rank r), Equivalent characterizati

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