International Journal of Mathematics and Mathematical Sciences
Volume 15 (1992), Issue 2, Pages 261-266
doi:10.1155/S0161171292000334

On polynomial EPr matrices

Ar. Meenakshi and N. Anandam

Department of Mathematics, Annamalai University, Annamalainagar 608 002, Tamil Nadu, India

Abstract

This paper gives a characterization of EPr-λ-matrices. Necessary and sufficient conditions are determined for (i) the Moore-Penrose inverse of an EPr-λ-matrix to be an EPr-λ-matrix and (ii) Moore-Penrose inverse of the product of EPr-λ-matrices to be an EPr-λ-matrix. Further, a condition for the generalized inverse of the product of λ-matrices to be a λ-matrix is determined.