A modified fast Fourier transform for polynomial evaluation and the Jenkins-Traub algorithm

DOI10.1007/BF01390703zbMath0613.65015OpenAlexW2059472597MaRDI QIDQ1819535

William W. Hager

Publication date: 1987

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/133151

zbMATH Keywords

zeros of a polynomialfast Fourier transformationCooley-Tukey algorithmJenkins-Traub algorithmevaluation of polynomialrecurrence scheme

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Computation of special functions and constants, construction of tables (65D20) General theory of numerical methods in complex analysis (potential theory, etc.) (65E05) Numerical computation of solutions to single equations (65H05)

Related Items (1)

Approximating complex polynomial zeros: modified Weyl's quadtree construction and improved Newton's iteration.

Uses Software

• NAPACK

Cites Work

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• Die numerische Berechnung der Wurzeln eines Polynoms
• A three-stage variable-shift iteration for polynomial zeros and its relation to generalized Rayleigh iteration
• Ein konvergentes Iterationsverfahren zur Bestimmung der Nullstellen eines Polynoms
• An Algorithm for the Machine Calculation of Complex Fourier Series
• On computing the fast Fourier transform
• Practical Problems Arising in the Solution of Polynomial Equations
• A Three-Stage Algorithm for Real Polynomials Using Quadratic Iteration

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