ZEAL: A mathematical software package for computing zeros of analytic functions

DOI10.1016/S0010-4655(99)00429-4zbMath0955.65033MaRDI QIDQ1971529

F. A. Zafiropoulos, Marc Van Barel, Peter Kravanja, Michael N. Vrahatis, Omiros Ragos

Publication date: 7 June 2000

Published in: Computer Physics Communications (Search for Journal in Brave)

zbMATH Keywords

algorithmNewton's methodformal orthogonal polynomialsmultiplicitiesquadrature methodzeros of analytic functionsisolation of zeros

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) Packaged methods for numerical algorithms (65Y15)

Related Items (10)

An error analysis of two related quadrature methods for computing zeros of analytic functions. ⋮ Robust location of optical fiber modes via the argument principle method ⋮ The nonlinear eigenvalue problem ⋮ CCOMP: an efficient algorithm for complex roots computation of determinantal equations ⋮ Analysis of a discrete-time queue with general independent arrivals, general service demands and fixed service capacity ⋮ On the computation of hybrid modes in planar layered waveguides with multiple anisotropic conductive sheets ⋮ On locating the zeros and poles of a meromorphic function ⋮ Computing zeros of analytic functions in the complex plane without using derivatives ⋮ Locating and computing in parallel all the simple roots of special functions using PVM ⋮ ZEAL

Uses Software

• QUADPACK

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