D. Krishnaswamy - Department of Mathematics, Government Arts and Science College, T.C.Koot Road, Vanur-۶۰۵۱۱۱, Tamil Nadu, India
A. Narayanasamy - Department of Mathematics, Government Arts and Science College, T.C.Koot Road, Vanur-۶۰۵۱۱۱, Tamil Nadu, India
Abdelkader Benali - Faculty of The Exact Sciences and Computer, Mathematics Department, University of Hassiba Benbouali, Chlef Algeria, B.P. ۱۵۱ Hay Essalem, Chlef ۰۲۰۰۰, Algeria

In this paper, we obtain some characterizations of range symmetric matrices and utilize them to study the partial ordering of range symmetric matrices with respect to the indefinite inner product. As a consequence of this, different characterizations of partial orders on range symmetric matrices are obtained.

Indefinite inner product, range symmetric, Partial order