Real and complex pseudozero sets for polynomials with applications

DOI10.1051/ita:2007006zbMath1163.65023OpenAlexW2102535837MaRDI QIDQ5444101

Philippe Langlois, Stef Graillat

Publication date: 22 February 2008

Published in: RAIRO - Theoretical Informatics and Applications (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=ITA_2007__41_1_45_0

zbMATH Keywords

control theorycomputational stabilitypseudozero of of polynomialroot perturbation

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Numerical computation of matrix norms, conditioning, scaling (65F35) Numerical computation of solutions to single equations (65H05)

Related Items (1)

An iterative method for computing robustness of polynomial stability

Cites Work

• Spectral value sets: A graphical tool for robustness analysis
• Pseudozeros of polynomials and pseudospectra of companion matrices
• On the condition of algebraic equations
• Root Neighborhoods of a Polynomial
• Robustness measures for linear systems with application to stability radii of Hurwitz and Schur polynomials
• Numerical Polynomial Algebra
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