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- W2116947342 abstract "Let $T : Omega rightarrow mathbb{C}^{n times n}$ be a matrix-valued function that is analytic on some simply connected domain $Omega subset mathbb{C}$. A point $lambda in Omega$ is an eigenvalue if the matrix $T(lambda)$ is singular. In this article, we describe new localization results for nonlinear eigenvalue problems that generalize Gershgorin's theorem, pseudospectral inclusion theorems, and the Bauer--Fike theorem. We use our results to analyze three nonlinear eigenvalue problems: an example from delay differential equations, a problem due to Hadeler, and a quantum resonance computation." @default.
- W2116947342 created "2016-06-24" @default.
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- W2116947342 date "2015-01-01" @default.
- W2116947342 modified "2023-10-18" @default.
- W2116947342 title "Localization Theorems for Nonlinear Eigenvalue Problems" @default.
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- W2116947342 doi "https://doi.org/10.1137/15m1026511" @default.
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