On secondary range Hermitian Matrices

AUTHOR AND
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)

KEYWORDS:

Matrix, Hermitian, Secondary hermitian, s-hermitian , Permutation matrix

Issue Date:

August 2009

Pages:

371-376

ISSN:

2319-8044 (Online) – 2231-346X (Print)

Source:

Vol.21 – No.2

PDF

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DOI:

https://ultrascientist.org/papers/

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.

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: http://www.ultrascientist.org/paper/1198/


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.