T. S. Baskett and I. J. Katz, “Theorems on Products of EPr Matrices,” Linear Algebra and Its Applications, Vol. 2, No. 1, 1969, pp. 87-103.
has been cited by the following article:
TITLE: Schur Complement of con-s-k-EP Matrices
AUTHORS: B. K. N. Muthugobal
KEYWORDS: con-s-k-EP Matrices; Partitioned Matrices; Schur Complements
JOURNAL NAME: Advances in Linear Algebra & Matrix Theory, Vol.2 No.1, March 31, 2012
ABSTRACT: Necessary and sufficient conditions for a schur complement of a con-s-k-EP matrix to be con-s-k-EP are determined. Further it is shown that in a con-s-k-EPr matrix, every secondary sub matrix of rank “r” is con-s-k-EPr. We have also discussed the way of expressing a matrix of rank r as a product of con-s-k-EPr matrices. Necessary and sufficient conditions for products of con-s-k-EPr partitioned matrices to be con-s-k-EPr are given.