Eigenvalue estimates using the Kolmogorov-Sinai Entropy

Shih Feng Shieh

doi:10.3390/e13122036

Eigenvalue estimates using the Kolmogorov-Sinai Entropy

Shih Feng Shieh^*

^*Corresponding author for this work

Department of Mathematics

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

2 Citations (Scopus)

Abstract

The scope of this paper is twofold. First, we use the Kolmogorov-Sinai Entropy to estimate lower bounds for dominant eigenvalues of nonnegative matrices. The lower bound is better than the Rayleigh quotient. Second, we use this estimate to give a nontrivial lower bound for the gaps of dominant eigenvalues of A and A + V.

Original language	English
Pages (from-to)	2036-2048
Number of pages	13
Journal	Entropy
Volume	13
Issue number	12
DOIs	https://doi.org/10.3390/e13122036
Publication status	Published - 2011 Dec

Keywords

Eigenvalue estimates
Kolmogorov-Sinai entropy
Parry's theorem

ASJC Scopus subject areas

General Physics and Astronomy

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10.3390/e13122036

Cite this

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title = "Eigenvalue estimates using the Kolmogorov-Sinai Entropy",

abstract = "The scope of this paper is twofold. First, we use the Kolmogorov-Sinai Entropy to estimate lower bounds for dominant eigenvalues of nonnegative matrices. The lower bound is better than the Rayleigh quotient. Second, we use this estimate to give a nontrivial lower bound for the gaps of dominant eigenvalues of A and A + V.",

keywords = "Eigenvalue estimates, Kolmogorov-Sinai entropy, Parry's theorem",

author = "Shieh, {Shih Feng}",

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AB - The scope of this paper is twofold. First, we use the Kolmogorov-Sinai Entropy to estimate lower bounds for dominant eigenvalues of nonnegative matrices. The lower bound is better than the Rayleigh quotient. Second, we use this estimate to give a nontrivial lower bound for the gaps of dominant eigenvalues of A and A + V.

KW - Eigenvalue estimates

KW - Kolmogorov-Sinai entropy

KW - Parry's theorem

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Eigenvalue estimates using the Kolmogorov-Sinai Entropy

Abstract

Keywords

ASJC Scopus subject areas

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