A. R. Meenakshi, “On Schur Complements in an EP Matrix, Periodica, Mathematica Hungarica,” Periodica Mathematica Hungarica, Vol. 16, No. 3, 1985, pp. 193- 200.
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.