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

存取文件

10.3390/e13122036

其它文件與鏈接

引用此

@article{0bb43f59832f4a6999c153fa39fc6db7,

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}",

year = "2011",

month = dec,

doi = "10.3390/e13122036",

language = "English",

volume = "13",

pages = "2036--2048",

journal = "Entropy",

issn = "1099-4300",

publisher = "Multidisciplinary Digital Publishing Institute (MDPI)",

number = "12",

}

TY - JOUR

T1 - Eigenvalue estimates using the Kolmogorov-Sinai Entropy

AU - Shieh, Shih Feng

PY - 2011/12

Y1 - 2011/12

N2 - 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.

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

UR - http://www.scopus.com/inward/record.url?scp=84855387083&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84855387083&partnerID=8YFLogxK

U2 - 10.3390/e13122036

DO - 10.3390/e13122036

M3 - Article

AN - SCOPUS:84855387083

SN - 1099-4300

VL - 13

SP - 2036

EP - 2048

JO - Entropy

JF - Entropy

IS - 12

ER -

Eigenvalue estimates using the Kolmogorov-Sinai Entropy

摘要

ASJC Scopus subject areas

存取文件

其它文件與鏈接

指紋

引用此