Characterization and construction of the nearest defective matrix via coalescence of pseudospectral components

DOI10.1016/j.laa.2010.09.022zbMath1228.65062OpenAlexW2156023353MaRDI QIDQ541916

Ralph Byers, Michael L. Overton, Shreemayee Bora, Rafikul Alam

Publication date: 8 June 2011

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

Full work available at URL: https://doi.org/10.1016/j.laa.2010.09.022

zbMATH Keywords

Newton's methodbackward error analysispseudospectrummultiple eigenvaluesnearest defective matrix

Mathematics Subject Classification ID

Related Items (9)

Variational Analysis of Approximate Defective Eigenvalues ⋮ Numerical Rank Deficiency in Matrix Products ⋮ Matrix polynomials with specified eigenvalues ⋮ The verification of multiplicity support of a defective eigenvalue of a real matrix ⋮ Level set methods for finding critical points of mountain pass type ⋮ The calculation of the distance to a nearby defective matrix ⋮ On Matrix Nearness Problems: Distance to Delocalization ⋮ Differential Equations for Real-Structured Defectivity Measures ⋮ Approximated structured pseudospectra

Uses Software

• Eigtool
• Seigtool

Cites Work

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• On pseudospectra of matrix polynomials and their boundaries

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