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Schur complements pivotal transformation on con-s-k-ep matrices

Author:

Krishnamoorthy, S and Muthugobal, B.K.N.

Subject Area:

Physical Sciences and Engineering

Abstract:

Necessary and sufficient conditions are determined for a schur complement Pivotal Transformation in a con-s-k-EP matrix to be con-s-k-EP. Further it is shown that in a con-s-k-EPr Matrix, every secondary sub matrix of rank ‘r’ is con-s-k-EPr. Also discussed the question of expressing a matrix of rank r as a product of con-s-k-EPr matrix. A necessary and sufficient condition for products of con-s-k-EPr Partitioned matrices to be con-s-k-EPr is given. AMS classification: 15A09, 15A15, 15A57

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