Generalized interlacing inequalities

Chi Kwong Li; Yiu Tung Poon; Nung Sing Sze

doi:10.1080/03081087.2011.619534

Generalized interlacing inequalities

Chi Kwong Li
, Yiu Tung Poon
, Nung Sing Sze

Research output: Journal article publication › Journal article › Academic research › peer-review

4 Citations (Scopus)

Abstract

We discuss some applications of generalized interlacing inequalities of Ky Fan to the study of (a) some classical matrix inequalities and (b) matrix problems in quantum information science.

Original language	English
Pages (from-to)	1245-1254
Number of pages	10
Journal	Linear and Multilinear Algebra
Volume	60
Issue number	11-12
DOIs	https://doi.org/10.1080/03081087.2011.619534
Publication status	Published - 1 Nov 2012

Keywords

eigenvalues
Hermitian matrices
interlacing inequalities
numerical ranges

ASJC Scopus subject areas

Algebra and Number Theory

More information

10.1080/03081087.2011.619534

Cite this

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title = "Generalized interlacing inequalities",

abstract = "We discuss some applications of generalized interlacing inequalities of Ky Fan to the study of (a) some classical matrix inequalities and (b) matrix problems in quantum information science.",

keywords = "eigenvalues, Hermitian matrices, interlacing inequalities, numerical ranges",

author = "Li, \{Chi Kwong\} and Poon, \{Yiu Tung\} and Sze, \{Nung Sing\}",

year = "2012",

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doi = "10.1080/03081087.2011.619534",

language = "English",

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AU - Li, Chi Kwong

AU - Poon, Yiu Tung

AU - Sze, Nung Sing

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N2 - We discuss some applications of generalized interlacing inequalities of Ky Fan to the study of (a) some classical matrix inequalities and (b) matrix problems in quantum information science.

AB - We discuss some applications of generalized interlacing inequalities of Ky Fan to the study of (a) some classical matrix inequalities and (b) matrix problems in quantum information science.

KW - eigenvalues

KW - Hermitian matrices

KW - interlacing inequalities

KW - numerical ranges

UR - https://www.scopus.com/pages/publications/84868297525

U2 - 10.1080/03081087.2011.619534

DO - 10.1080/03081087.2011.619534

M3 - Journal article

SN - 0308-1087

VL - 60

SP - 1245

EP - 1254

JO - Linear and Multilinear Algebra

JF - Linear and Multilinear Algebra

IS - 11-12

ER -

Generalized interlacing inequalities

Abstract

Keywords

ASJC Scopus subject areas

More information

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