Some norm inequalities for matrix means

Rajendra Bhatia; Yongdo Lim; Takeaki Yamazaki

doi:10.1016/j.laa.2016.03.018

Some norm inequalities for matrix means

Rajendra Bhatia
, Yongdo Lim
, Takeaki Yamazaki

Department of Mathematics

Indian Statistical Institute
Toyo University

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

26 Scopus citations

Abstract

Inequalities for unitarily invariant norms of power means of positive definite matrices are presented.

Original language	English
Pages (from-to)	112-122
Number of pages	11
Journal	Linear Algebra and Its Applications
Volume	501
DOIs	https://doi.org/10.1016/j.laa.2016.03.018
State	Published - 15 Jul 2016

Keywords

Matrix mean
Positive definite matrix
Power mean
Unitarily invariant norm

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10.1016/j.laa.2016.03.018

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title = "Some norm inequalities for matrix means",

abstract = "Inequalities for unitarily invariant norms of power means of positive definite matrices are presented.",

keywords = "Matrix mean, Positive definite matrix, Power mean, Unitarily invariant norm",

author = "Rajendra Bhatia and Yongdo Lim and Takeaki Yamazaki",

year = "2016",

month = jul,

day = "15",

doi = "10.1016/j.laa.2016.03.018",

language = "English",

volume = "501",

pages = "112--122",

journal = "Linear Algebra and Its Applications",

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T1 - Some norm inequalities for matrix means

AU - Bhatia, Rajendra

AU - Lim, Yongdo

AU - Yamazaki, Takeaki

PY - 2016/7/15

Y1 - 2016/7/15

N2 - Inequalities for unitarily invariant norms of power means of positive definite matrices are presented.

AB - Inequalities for unitarily invariant norms of power means of positive definite matrices are presented.

KW - Matrix mean

KW - Positive definite matrix

KW - Power mean

KW - Unitarily invariant norm

UR - https://www.scopus.com/pages/publications/84961710210

U2 - 10.1016/j.laa.2016.03.018

DO - 10.1016/j.laa.2016.03.018

M3 - Article

AN - SCOPUS:84961710210

SN - 0024-3795

VL - 501

SP - 112

EP - 122

JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

ER -

Some norm inequalities for matrix means

Abstract

Keywords

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