G-tridiagonal majorization on M n,m-Reference-Cited by-同舟云学术

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G-tridiagonal majorization on M n,m

Published:2021-12-01 Issue:3 Volume:29 Page:395-405
ISSN:2336-1298
Container-title:Communications in Mathematics
language:en
Short-container-title:

Author:

Mohammadhasani Ahmad¹,Sayyari Yamin¹,Sabzvari Mahdi²

Affiliation:

1. Department of Mathematics , Sirjan University Of Technology , Sirjan , Iran

2. Department of Mathematics , Hormozgan University , Hormozgan , Iran

Abstract

Abstract For X, Y ∈ M n,m , it is said that X is g-tridiagonal majorized by Y (and it is denoted by X ≺gt Y) if there exists a tridiagonal g-doubly stochastic matrix A such that X = AY. In this paper, the linear preservers and strong linear preservers of ≺gt are characterized on M n,m .

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.sciendo.com/pdf/10.2478/cm-2021-0027

Reference9 articles.

1. [1] A. Armandnejad, Z. Gashool: Strong linear preservers of g-tridiagonal majorization on ℝn. Electronic Journal of Linear Algebra 123 (2012) 115–121.

2. [2] A. Armandnejad, S. Mohtashami, M. Jamshidi: On linear preservers of g-tridiagonal majorization on ℝn. Linear Algebra and its Applications 459 (2014) 145–153.10.1016/j.laa.2014.06.050

3. [3] L.B. Beasley, S.-G. Lee, Y.-H. Lee: A characterization of strong preservers of matrix majorization. Linear Algebra and its Applications 367 (2003) 341–346.10.1016/S0024-3795(02)00657-2

4. [4] R. Bahatia: Matrix Analysis. Springer-Verlag, New York (1997).

5. [5] R.A. Brualdi, G. Dahl: An extension of the polytope of doubly stochastic matrices. Linear and Multilinear Algebra 6 (3) (2013) 393–408.

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