Linear converters of weak, directional and strong majorizations

Alexander Guterman; Pavel Shteyner

doi:10.1016/j.laa.2020.11.012

Linear converters of weak, directional and strong majorizations

Research output: Contribution to journal › Article › peer-review

Abstract

In the theory of matrix majorizations there are three types of majorizations that play an important role. These are weak, strong and directional majorizations for matrices. In this paper we characterize the linear operators converting each one of these majorizations to another one.

Original language	English
Pages (from-to)	320-346
Number of pages	27
Journal	Linear Algebra and Its Applications
Volume	613
DOIs	https://doi.org/10.1016/j.laa.2020.11.012
State	Published - 15 Mar 2021
Externally published	Yes

Keywords

Linear converters
Linear preservers
Matrix majorization
Vector majorization

All Science Journal Classification (ASJC) codes

Algebra and Number Theory
Numerical Analysis
Geometry and Topology
Discrete Mathematics and Combinatorics

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10.1016/j.laa.2020.11.012

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title = "Linear converters of weak, directional and strong majorizations",

abstract = "In the theory of matrix majorizations there are three types of majorizations that play an important role. These are weak, strong and directional majorizations for matrices. In this paper we characterize the linear operators converting each one of these majorizations to another one.",

keywords = "Linear converters, Linear preservers, Matrix majorization, Vector majorization",

author = "Alexander Guterman and Pavel Shteyner",

note = "Publisher Copyright: {\textcopyright} 2020 Elsevier Inc.",

year = "2021",

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day = "15",

doi = "10.1016/j.laa.2020.11.012",

language = "الإنجليزيّة",

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T1 - Linear converters of weak, directional and strong majorizations

AU - Guterman, Alexander

AU - Shteyner, Pavel

PY - 2021/3/15

Y1 - 2021/3/15

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AB - In the theory of matrix majorizations there are three types of majorizations that play an important role. These are weak, strong and directional majorizations for matrices. In this paper we characterize the linear operators converting each one of these majorizations to another one.

KW - Linear converters

KW - Linear preservers

KW - Matrix majorization

KW - Vector majorization

UR - http://www.scopus.com/inward/record.url?scp=85097083654&partnerID=8YFLogxK

U2 - 10.1016/j.laa.2020.11.012

DO - 10.1016/j.laa.2020.11.012

M3 - مقالة

SN - 0024-3795

VL - 613

SP - 320

EP - 346

JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

ER -

Linear converters of weak, directional and strong majorizations

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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