Computation of pseudospectra via spectral projectors

DOI10.1016/S0024-3795(98)00011-1zbMath0935.65035OpenAlexW2082778893WikidataQ126805880 ScholiaQ126805880MaRDI QIDQ1307565

Sergei Konstantinovich Godunov, Miloud Sadkane

Publication date: 31 October 1999

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0024-3795(98)00011-1

zbMATH Keywords

numerical testspseudospectraspectral projectorgroup of eigenvalues

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15)

Related Items (5)

An improved grid method for the computation of the pseudospectra of matrix polynomials ⋮ On condition numbers of the spectral projections associated with periodic eigenproblems ⋮ On the sensitivity of the spectral projection ⋮ Some new algorithms for the spectral dichotomy methods ⋮ Stability of eigenvalues and spectral decompositions under linear perturbation

Uses Software

• testmatrix

Cites Work

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• Problem of the dichotomy of the spectrum of a matrix
• Circular dichotomy of the matrix spectrum
• Parallel algorithm for solving some spectral problems of linear algebra
• Spectral portrait for non-Hermitian large sparse matrices
• Computation of the fundamental singular subspace of a large matrix
• An inverse free parallel spectral divide and conquer algorithm for nonsymmetric eigenproblems
• Computing the field of values and pseudospectra using the Lanczos method with continuation
• A curve tracing algorithm for computing the pseudospectrum
• Elliptic dichotomy of a matrix spectrum
• Computation of Pseudospectra by Continuation
• On Parabolic and Elliptic Spectral Dichotomy
• Calculation of Pseudospectra by the Arnoldi Iteration

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