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.