Counting eigenvalues in domains of the complex field

zbMath1288.65050arXiv1110.4797MaRDI QIDQ2450035

Bernard Philippe, Emmanuel Kamgnia

Publication date: 14 May 2014

Published in: ETNA. Electronic Transactions on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1110.4797

zbMATH Keywords

numerical exampleresolventeigenvaluedeterminantcomplex logarithm

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) General theory of numerical methods in complex analysis (potential theory, etc.) (65E05) Numerical computation of determinants (65F40)

Related Items (1)

A contour-integral based method for counting the eigenvalues inside a region

Uses Software

• LAPACK

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