On condition numbers of polynomial eigenvalue problems

DOI10.1016/j.amc.2010.02.011zbMath1211.15008arXiv0907.3859OpenAlexW2167861724MaRDI QIDQ972167

Nikolaos Papathanasiou, Panayiotis J. Psarrakos

Publication date: 25 May 2010

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0907.3859

zbMATH Keywords

eigenvalueperturbationeigenvectorscondition numbermatrix polynomialHausdorff distancepseudospectrum

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Matrices over function rings in one or more variables (15A54) Conditioning of matrices (15A12)

Related Items (6)

Solving polynomial eigenvalue problems by means of the Ehrlich-Aberth method ⋮ A comparison of eigenvalue condition numbers for matrix polynomials ⋮ Structured backward error analysis for sparse polynomial eigenvalue problems ⋮ Conditioning and backward errors of eigenvalues of homogeneous matrix polynomials under Möbius transformations ⋮ Unnamed Item ⋮ On Householder sets for matrix polynomials

Uses Software

• Eigtool

Cites Work

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