The Durand-Kerner method for trigonometric and exponential polynomials

DOI10.1007/BF02247945zbMath0631.65045OpenAlexW118619933MaRDI QIDQ1094823

B. George

Publication date: 1988

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02247945

zbMATH Keywords

zerosexponential polynomialsDurand-Kerner methodtrigonometric polynomial

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05) Numerical methods for trigonometric approximation and interpolation (65T40)

Related Items (9)

On iteration methods without derivatives for the simultaneous determination of polynomial zeros ⋮ Solving certain queueing problems modelled by Toeplitz matrices ⋮ The Durand-Kerner polynomials roots-finding method in case of multiple roots ⋮ A comparison of companion matrix methods to find roots of a trigonometric polynomial ⋮ Computing the zeros, maxima and inflection points of Chebyshev, Legendre and Fourier series: solving transcendental equations by spectral interpolation and polynomial rootfinding ⋮ Failure of convergence of the Newton-Weierstrass iterative method for simultaneous rootfinding of generalized polynomials ⋮ New exact algorithms for planar maximum covering location by ellipses problems ⋮ On some interval methods for algebraic, exponential and trigonometric polynomials ⋮ A note on simultaneous rootfinding for algebraic, exponential, and trigonometric polynomials

Cites Work

• Unnamed Item
• Two observations on Durand-Kerner's root-finding method
• Some modifications of the parallel Halley iteration method and their convergence
• Ein Gesamtschrittverfahren zur Berechnung der Nullstellen von Polynomen
• A Globally Convergent Method for Simultaneously Finding Polynomial Roots
• On the Convergence of Two Methods for the Simultaneous Finding of All Roots of Exponential Equations
• Methods for the simultaneous approximate derivation of the roots of algebraic, trigonometric and exponential equations
• Iteration Methods for Finding all Zeros of a Polynomial Simultaneously

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