符号具有幂奇点的Toeplitz矩阵特征值的渐近性

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-02-21 DOI:10.1002/nla.2496

M. Bogoya, S. Grudsky

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引用次数: 1

摘要

本文研究了Toeplitz矩阵n(a)的特征值渐近展开式的构造。$$ {T}_n(a) $$ As n$$ n $$ 趋于无穷，具有连续实值符号a$$ a $$ 具有γ次幂奇点的$$ \gamma $$ 1

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Asymptotics for the eigenvalues of Toeplitz matrices with a symbol having a power singularity

The present work is devoted to the construction of an asymptotic expansion for the eigenvalues of a Toeplitz matrix Tn(a)$$ {T}_n(a) $$ as n$$ n $$ goes to infinity, with a continuous and real‐valued symbol a$$ a $$ having a power singularity of degree γ$$ \gamma $$ with 1

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.