On Wilkinson's problem for matrix pencils

DOI10.13001/1081-3810.3145zbMath1328.65085OpenAlexW1840816908MaRDI QIDQ3457762

Rafikul Alam, Sk. Safique Ahmad

Publication date: 17 December 2015

Published in: The Electronic Journal of Linear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.13001/1081-3810.3145

zbMATH Keywords

multiple eigenvaluepseudospectrummatrix pencilbackward errorWilkinson's problemdefective pencil

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)

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Perturbation analysis on matrix pencils for two specified eigenpairs of a semisimple eigenvalue with multiplicity two ⋮ Distance evaluation to the set of matrices with multiple eigenvalues

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