Partitioned q-k-Ep Matrices


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Authors

  • K. Gunasekaran PG and Research Department of Mathematics, Government Arts College(Autonomous), Kumbakonam, Tamil Nadu, India
  • K. Gnanabala PG and Research Department of Mathematics, Government Arts College(Autonomous), Kumbakonam, Tamil Nadu, India

Keywords:

q-k-EP matrices, Schur complements

Abstract

Necessary and sufficient conditions are determined for a schur complement in a q-k-EP matrix to be q-k-EP. Further it is shown that in q-k-EPr matrix, every principal sub matrix of rank r is q-k-EPr. Necessary and sufficient conditions for products of q-k-EPr partitioned matrices to be q-k-EPr is given.

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Published

15-12-2016

How to Cite

K. Gunasekaran, & K. Gnanabala. (2016). Partitioned q-k-Ep Matrices. International Journal of Mathematics And Its Applications, 4(4), 51–66. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/954

Issue

Section

Research Article