Extremal eigenvalues of real symmetric matrices with entries in an interval

Xingzhi Zhan

doi:10.1137/050627812

Extremal eigenvalues of real symmetric matrices with entries in an interval

Xingzhi Zhan

School of Mathematical Sciences

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

42 Scopus citations

Abstract

We determine the exact range of the smallest and largest eigenvalues of real symmetric matrices of a given order whose entries are In a given Interval. The maximizing and minimizing matrices are specified. We also consider the maximal spread of such matricee.

Original language	English
Pages (from-to)	851-860
Number of pages	10
Journal	SIAM Journal on Matrix Analysis and Applications
Volume	27
Issue number	3
DOIs	https://doi.org/10.1137/050627812
State	Published - 2005

Keywords

Eigenvalue
Spread
Symmetric matrix

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10.1137/050627812

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title = "Extremal eigenvalues of real symmetric matrices with entries in an interval",

abstract = "We determine the exact range of the smallest and largest eigenvalues of real symmetric matrices of a given order whose entries are In a given Interval. The maximizing and minimizing matrices are specified. We also consider the maximal spread of such matricee.",

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author = "Xingzhi Zhan",

year = "2005",

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KW - Eigenvalue

KW - Spread

KW - Symmetric matrix

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DO - 10.1137/050627812

M3 - 文章

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JO - SIAM Journal on Matrix Analysis and Applications

JF - SIAM Journal on Matrix Analysis and Applications

IS - 3

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Extremal eigenvalues of real symmetric matrices with entries in an interval

Abstract

Keywords

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