Schur Complement of con-s-k-EP Matrices

B. K. N. Muthugobal
2012 Advances in Linear Algebra and Matrix Theory  
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-EP r matrix, every secondary sub matrix of rank "r" is con-s-k-EP r . We have also discussed the way of expressing a matrix of rank r as a product of con-s-k-EP r matrices. Necessary and sufficient conditions for products of con-s-k-EP r partitioned matrices to be con-s-k-EP r are given.
doi:10.4236/alamt.2012.21001 fatcat:g2sz47e5ibgkjode7hmfg2iazu