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.
Cite this paper
B. Muthugobal, "Schur Complement of con-s-k-EP Matrices," Advances in Linear Algebra & Matrix Theory, Vol. 2 No. 1, 2012, pp. 1-11. doi: 10.4236/alamt.2012.21001.
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