International Journal of Mathematics and Mathematical Sciences
Volume 15 (1992), Issue 2, Pages 261-266
doi:10.1155/S0161171292000334
On polynomial EPr matrices
Department of Mathematics, Annamalai University, Annamalainagar 608 002, Tamil Nadu, India
Received 8 May 1989
Copyright © 1992 Ar. Meenakshi and N. Anandam. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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.