A curve tracing algorithm for computing the pseudospectrum

DOI10.1007/BF01731926zbMath0861.65034MaRDI QIDQ1923868

Martin Brühl

Publication date: 24 April 1997

Published in: BIT (Search for Journal in Brave)

zbMATH Keywords

performancenumerical examplespseudospectracurve tracing algorithmprediction-correction continuation method

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Global methods, including homotopy approaches to the numerical solution of nonlinear equations (65H20)

Related Items (8)

An improved grid method for the computation of the pseudospectra of matrix polynomials ⋮ Pseudospectra for matrix pencils and stability of equilibria ⋮ Computing the field of values and pseudospectra using the Lanczos method with continuation ⋮ Computing spectral value sets using the subharmonicity of the norm of rational matrices ⋮ Structured pseudospectra and structured sensitivity of eigenvalues ⋮ A note on computation of pseudospectra ⋮ Pseudospectra and delay differential equations ⋮ Computation of pseudospectra via spectral projectors

Uses Software

• mctoolbox
• Eigtool
• Harwell-Boeing sparse matrix collection
• testmatrix

Cites Work

• Computing the field of values and pseudospectra using the Lanczos method with continuation
• Hydrodynamic Stability Without Eigenvalues
• How Fast are Nonsymmetric Matrix Iterations?
• Computation of Pseudospectra by Continuation
• Calculation of Pseudospectra by the Arnoldi Iteration
• Pseudospectra of the Orr–Sommerfeld Operator
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: A curve tracing algorithm for computing the pseudospectrum