Matrix inequalities by means of embedding

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

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Detail(s)

Original languageEnglish
Pages (from-to)66-77
Journal / PublicationElectronic Journal of Linear Algebra
Volume11
Online published1 Jan 2004
Publication statusPublished - Apr 2004

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DOI

DOI
Check@CityULib
Link to Scopus https://www.scopus.com/record/display.uri?eid=2-s2.0-3042663157&origin=recordpage
Permanent Link https://scholars.cityu.edu.hk/en/publications/publication(2097d31a-3e3c-4a4f-90c5-77a4ba926088).html

Abstract

In this expository study some basic matrix inequalities obtained by embedding bilinear forms 〈Ax, x〉 and 〈Ax, y〉 into 2 × 2 matrices are investigated. Many classical inequalities are reproved or refined by the proposed unified approach. Some inequalities involving the matrix absolute value |A| are given. A new proof of Ky Fan's singular value majorization theorem is presented.

Research Area(s)

  • Eigenvalue, Majorization, Matrix absolute value, Matrix inequality, Matrix norm, Normal matrix, Positive semidefinite matrix, Singular value, Spread, Wielandt inequality

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Publication fingerprints text

100
Matrix (Mathematics... Mathematics
25
Majorization Mathematics
25
Singular Value Mathematics
25
Absolute Value Mathematics
25
Bilinear Form Mathematics
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Citation Format(s)

[ RIS ] [ BibTeX ]
Matrix inequalities by means of embedding. / Lei, Tian-Gang; Woo, Ching-Wah; Zhang, Fuzhen.
In: Electronic Journal of Linear Algebra, Vol. 11, 04.2004, p. 66-77.

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review