Star ordering of range symmetric matrices in indefinite inner product space

نویسندگان

1 Department of Mathematics, Government Arts and Science College, T.C.Koot Road, Vanur-605111, Tamil Nadu, India

2 Department of Mathematics, Government Arts and Science College, T.C.Koot Road, Vanur-605111, Tamil Nadu, India

3 Faculty of The Exact Sciences and Computer, Mathematics Department, University of Hassiba Benbouali, Chlef Algeria, B.P. 151 Hay Essalem, Chlef 02000, Algeria

doi
10.22075/ijnaa.2023.30228.4370
چکیده

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.