Verified computations of eigenvalue exclosures for eigenvalue problems in Hilbert spaces

Yoshitaka Watanabe; Kaori Nagatou; Michael Plum; Mitsuhiro T. Nakao

doi:10.1137/120894683

Verified computations of eigenvalue exclosures for eigenvalue problems in Hilbert spaces

Yoshitaka Watanabe, Kaori Nagatou, Michael Plum, Mitsuhiro T. Nakao

研究成果: Article › 査読

11 被引用数 (Scopus)

抄録

This paper presents eigenvalue excluding methods for self-adjoint or non-self-adjoint eigenvalue problems in Hilbert spaces, including problems with partial differential operators. Eigenvalue exclosure means the determination of subsets of the complex field which do not contain eigenvalues of the given problem. Several verified eigenvalue excluding results for ordinary and partial differential operators are reported on.

本文言語	English
ページ（範囲）	975-992
ページ数	18
ジャーナル	SIAM Journal on Numerical Analysis
巻	52
号	2
DOI	https://doi.org/10.1137/120894683
出版ステータス	Published - 2014
外部発表	はい

ASJC Scopus subject areas

数値解析

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10.1137/120894683

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Verified computations of eigenvalue exclosures for eigenvalue problems in Hilbert spaces

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