A derivative-free algorithm for computing zeros of analytic functions

DOI10.1007/s006070050051zbMath0940.65048OpenAlexW2161323164MaRDI QIDQ1304972

Marc Van Barel, Peter Kravanja

Publication date: 10 July 2000

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s006070050051

zbMATH Keywords

algorithmorthogonal polynomialsquadrature methodzeros of analytic functionsmultiple zerosderivative-free approach

Mathematics Subject Classification ID

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

Related Items (11)

An error analysis of two related quadrature methods for computing zeros of analytic functions. ⋮ Stable polefinding and rational least-squares fitting via eigenvalues ⋮ Numerical comparisons of gyrokinetic multi-water-bag models ⋮ A symbolic-numerical algorithm for isolating real roots of certain radical expressions ⋮ Robust location of optical fiber modes via the argument principle method ⋮ Emergence of unstable modes for classical shock waves in isothermal ideal MHD ⋮ A geometric algorithm for winding number computation with complexity analysis ⋮ On locating the zeros and poles of a meromorphic function ⋮ A reliable algorithm for computing the topological degree of a mapping in \(\mathbb R^{2}\) ⋮ Computing zeros of analytic functions in the complex plane without using derivatives ⋮ Computing Eigenvalues of Real Symmetric Matrices with Rational Filters in Real Arithmetic

Uses Software

• ZEAL

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