A note on computation of pseudospectra

DOI10.1016/j.matcom.2012.03.002zbMath1255.65078OpenAlexW1985958542MaRDI QIDQ1761634

Kunio Tanabe, Drahoslava Janovská, Vladimir Janovský

Publication date: 15 November 2012

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2012.03.002

zbMATH Keywords

path followingcontinuationpseudospectrumsingular valuesingular vector

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Eigenvalues, singular values, and eigenvectors (15A18)

Uses Software

• MATCONT
• Matlab
• COBRA
• eigs
• ARPACK
• Eigtool
• Seigtool

Cites Work

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• The analytic SVD: on the non-generic points on the path
• Computing the field of values and pseudospectra using the Lanczos method with continuation
• A curve tracing algorithm for computing the pseudospectrum
• Large-Scale Computation of Pseudospectra Using ARPACK and Eigs
• Computation of Pseudospectra by Continuation
• Robust stability and a criss-cross algorithm for pseudospectra
• Calculation of Pseudospectra by the Arnoldi Iteration
• MATCONT
• Cobra: Parallel path following for computing the matrix pseudospectrum
• PAT -- a reliable path-following algorithm

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