On secondary range Hermitian Matrices

Author & Affiliation:
A.R. Meenakshi
Dean of Mathematics and Computer Applications, Karpagam University, Coimbatore, Tamil Nadu (INDIA)
S. Krishnamoorthy
Dean of Mathematics and Computer Applications, Karpagam University, Coimbatore, Tamil Nadu (INDIA)
K. Gunasekaran
Government Arts College, (Autonomous), Kumbakonam - 612 001 Tamil Nadu (INDIA)
Keyword:
Matrix, Hermitian, Secondary hermitian, s-hermitian , Permutation matrix
Issue Date:
August 2009
Abstract:

The concept of secondary range Hermitian ( s-EP ) matrices is introduced as a generalization of s-Hermitian and EP matrices. Necessary and sufficient conditions are determined for a matrix to be s-EPr( s-EP and rank r ) Equivalent characterizations of a s-EP matrix are discussed. As an application, it is shown that the class of all EP matrices having the same range space form a group under multiplication.

 

Pages:
371-376
ISSN:
2319-8044 (Online) - 2231-346X (Print)
Source:
DOI:
jusps-A
Share This:
Facebook Twitter Google Plus LinkedIn Reddit

Copy the following to cite this article:

A. Meenakshi; S. Krishnamoorthy; K. Gunasekaran, "On secondary range Hermitian Matrices", Journal of Ultra Scientist of Physical Sciences, Volume 21, Issue 2, Page Number 371-376, 2018

Copy the following to cite this URL:

A. Meenakshi; S. Krishnamoorthy; K. Gunasekaran, "On secondary range Hermitian Matrices", Journal of Ultra Scientist of Physical Sciences, Volume 21, Issue 2, Page Number 371-376, 2018

Available from: https://www.ultrascientist.org/paper/1198/

Ansari Education And Research Society
Facebook Google Plus Twitter