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Schur Complement of con-s-k-EP Matrices
Ramanujan Research Centre, Department of Mathematics, Government Arts College (Autonomous), Kumbakonam, India
- 1 Ramanujan Research Centre, Department of Mathematics, Government Arts College (Autonomous), Kumbakonam, India
Advances in Linear Algebra & Matrix Theory·Volume 02 (2012)·Pages 1–11·Published 31 March 2012·DOI10.4236/alamt.2012.21001
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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.
Keywordscon-s-k-EP MatricesPartitioned MatricesSchur Complements
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