Some matrix inequalities of log-majorization type

Bo-Yan Xi; Fuzhen Zhang

doi:10.4153/S0008439521000102

Some matrix inequalities of log-majorization type

Bo-Yan Xi, Fuzhen Zhang

Department of Mathematics

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

Abstract

The purpose of this paper is two-fold: we present some matrix inequalities of log majorization type for eigenvalues indexed by a sequence; we then apply our main theorem to generalize and improve the Hua-Marcus’ inequalities. Our results are stronger and more general than the existing ones.

Original language	American English
Pages (from-to)	95-105
Number of pages	11
Journal	Canadian Mathematical Bulletin
Volume	65
Issue number	1
DOIs	https://doi.org/10.4153/S0008439521000102
State	Published - Mar 26 2022

Funding

Xi’s work was partially supported by NNSF of China grant no. 11361038.

Funders	Funder number
National Natural Science Foundation of China	11361038

ASJC Scopus Subject Areas

General Mathematics

Keywords

Eigenvalue
Hua’s determinant inequality
log-majorization
majorization inequality.
majorization inequality

Disciplines

Mathematics

Access to Document

10.4153/S0008439521000102

Cite this

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title = "Some matrix inequalities of log-majorization type",

abstract = "The purpose of this paper is two-fold: we present some matrix inequalities of log majorization type for eigenvalues indexed by a sequence; we then apply our main theorem to generalize and improve the Hua-Marcus{\textquoteright} inequalities. Our results are stronger and more general than the existing ones.",

keywords = "Eigenvalue, Hua{\textquoteright}s determinant inequality, log-majorization, majorization inequality., majorization inequality",

author = "Bo-Yan Xi and Fuzhen Zhang",

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KW - Hua’s determinant inequality

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KW - majorization inequality.

KW - majorization inequality

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Some matrix inequalities of log-majorization type

Abstract

Funding

ASJC Scopus Subject Areas

Keywords

Disciplines

Access to Document

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