Eigenvalue estimates using the Kolmogorov-Sinai Entropy

Shih Feng Shieh

doi:10.3390/e13122036

Eigenvalue estimates using the Kolmogorov-Sinai Entropy

Shih Feng Shieh^*

^*此作品的通信作者

數學系

研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

2 引文斯高帕斯（Scopus）

摘要

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.

原文	英語
頁（從 - 到）	2036-2048
頁數	13
期刊	Entropy
卷	13
發行號	12
DOIs	https://doi.org/10.3390/e13122036
出版狀態	已發佈 - 2011 12月

ASJC Scopus subject areas

一般物理與天文學

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10.3390/e13122036

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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",

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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

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ASJC Scopus subject areas

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