Numerical stability of barycentric Hermite root-finding

DOI10.1145/2331684.2331706zbMath1345.65031OpenAlexW2008280494MaRDI QIDQ2819629

Robert M. Corless, Piers W. Lawrence

Publication date: 29 September 2016

Published in: Proceedings of the 2011 International Workshop on Symbolic-Numeric Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1145/2331684.2331706

zbMATH Keywords

companion matrixnumerical stabilityHermite interpolation

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Numerical interpolation (65D05) Numerical computation of roots of polynomial equations (65H04)

Related Items (6)

Pseudospectra of exponential matrix polynomials ⋮ A Framework for Structured Linearizations of Matrix Polynomials in Various Bases ⋮ Generalized Standard Triples for Algebraic Linearizations of Matrix Polynomials ⋮ Stability of rootfinding for barycentric Lagrange interpolants ⋮ Bivariate barycentric rational interpolation method for two dimensional fractional Volterra integral equations ⋮ The Largest Roots of the Mandelbrot Polynomials

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