Schur Complement of con-s-k-EP Matrices

• 作者: B. K. N. Muthugobal
• 来源期刊: 线性代数与矩阵理论研究进展(英文)
• 学科: 数学
• 关键词: con-s-k-EP MATRICES Partitioned MATRICES SCHUR COMPLEMENTS
• 年，卷（期）: 2012,（1）
• 页码范围: 1-11
• 页数: 11页
• 分类号: O1

摘要

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.