On the distance to instability of quadratic matrix polynomials

DOI10.1016/J.CRMA.2019.06.007zbMath1417.15041OpenAlexW2954376321MaRDI QIDQ2317496

Alexander N. Malyshev, Miloud Sadkane

Publication date: 12 August 2019

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2019.06.007

Mathematics Subject Classification ID

Basic linear algebra (15A99) Toeplitz, Cauchy, and related matrices (15B05)

Uses Software

• quadeig

Cites Work

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• Real and complex stability radii of polynomial matrices
• On the computation of the distance to quadratic matrix polynomials that are singular at some points on the unit circle
• Numerical methods for palindromic eigenvalue problems: Computing the anti-triangular Schur form
• An algorithm for the complete solution of quadratic eigenvalue problems
• An Algorithm for Generalized Matrix Eigenvalue Problems

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