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D. H. Carlson, E. Haynesworth and T. H. Markham, “A Generalization of the Schur Complement by Means of the Moore-Penrose Inverse,” SIAM Journal on Applied Ma- the-matics, Vol. 26, No. 1, 1974, pp. 169-175.

has been cited by the following article:

• 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.