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

Alexander Guterman, Pavel Shteyner

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

5 Scopus citations

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

Bibliographical note

Publisher Copyright:
© 2020 Elsevier Inc.

Funding

A characterization of linear converters from directional to strong majorization ( Theorem 4.5 ) was supported by the Russian Federation Government (Grant number 075-15-2019-1926 ). The characterization of converters from weak majorization ( Theorem 5.4 ) was supported by the Ministry of Science and Higher Education of the Russian Federation (Goszadaniye No. 075-00337-20-03, project No. 0714-2020-0005 ).

Funders	Funder number
Government Council on Grants, Russian Federation	075-15-2019-1926
Ministry of Science and Higher Education of the Russian Federation	0714-2020-0005, 075-00337-20-03

Keywords

Linear converters
Linear preservers
Matrix majorization
Vector majorization

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10.1016/j.laa.2020.11.012

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

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KW - Linear converters

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KW - Vector majorization

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Linear converters of weak, directional and strong majorizations

Abstract

Bibliographical note

Funding

Keywords

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