Eigenvalue Inequalities for Matrix Product

Fuzhen Zhang; Qingling Zhang

doi:10.1109/TAC.2006.880787

Eigenvalue Inequalities for Matrix Product

Fuzhen Zhang
, Qingling Zhang

Department of Mathematics

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

81 Scopus citations

Abstract

We present a family of eigenvalue inequalities for the product of a Hermitian matrix and a positive-semidefinite matrix. Our theorem contains or extends some existing results on trace and eigenvalues.

Original language	American English
Journal	IEEE Transactions on Automatic Control
Volume	51
DOIs	https://doi.org/10.1109/TAC.2006.880787
State	Published - Sep 1 2006

Keywords

Eigenvalue
Inequality
Singular value
Trace

Disciplines

Mathematics

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Cite this

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title = "Eigenvalue Inequalities for Matrix Product",

abstract = " We present a family of eigenvalue inequalities for the product of a Hermitian matrix and a positive-semidefinite matrix. Our theorem contains or extends some existing results on trace and eigenvalues.",

keywords = "Eigenvalue, Inequality, Singular value, Trace",

author = "Fuzhen Zhang and Qingling Zhang",

year = "2006",

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doi = "10.1109/TAC.2006.880787",

language = "American English",

volume = "51",

journal = "IEEE Transactions on Automatic Control",

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T1 - Eigenvalue Inequalities for Matrix Product

AU - Zhang, Fuzhen

AU - Zhang, Qingling

PY - 2006/9/1

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N2 - We present a family of eigenvalue inequalities for the product of a Hermitian matrix and a positive-semidefinite matrix. Our theorem contains or extends some existing results on trace and eigenvalues.

AB - We present a family of eigenvalue inequalities for the product of a Hermitian matrix and a positive-semidefinite matrix. Our theorem contains or extends some existing results on trace and eigenvalues.

KW - Eigenvalue

KW - Inequality

KW - Singular value

KW - Trace

UR - https://nsuworks.nova.edu/math_facarticles/53

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DO - 10.1109/TAC.2006.880787

M3 - Article

SN - 0018-9286

VL - 51

JO - IEEE Transactions on Automatic Control

JF - IEEE Transactions on Automatic Control

ER -

Eigenvalue Inequalities for Matrix Product

Abstract

Keywords

Disciplines

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