On Pseudospectra, Critical Points, and Multiple Eigenvalues of Matrix Pencils

DOI10.1137/070711645zbMath1206.65137OpenAlexW2090740011MaRDI QIDQ3053128

Ralph Byers, Sk. Safique Ahmad, Rafikul Alam

Publication date: 4 November 2010

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/070711645

zbMATH Keywords

multiple eigenvaluepseudospectrummatrix pencilbackward error

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Eigenvalues, singular values, and eigenvectors (15A18) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Numerical computation of matrix norms, conditioning, scaling (65F35) Matrix pencils (15A22)

Related Items (8)

Pseudospectra of Matrix Pencils for Transient Analysis of Differential-Algebraic Equations ⋮ Computing unstructured and structured polynomial pseudospectrum approximations ⋮ Matrix polynomials with specified eigenvalues ⋮ Sensitivity and Backward Perturbation Analysis of Multiparameter Eigenvalue Problems ⋮ Distance Problems for Hermitian Matrix Pencils with Eigenvalues of Definite Type ⋮ Generalized determinant pseudo-spectrum of matrix pencils ⋮ Pseudospectra, critical points and multiple eigenvalues of matrix polynomials ⋮ Sensitivity Analysis of Nonlinear Eigenproblems

Uses Software

• Eigtool

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