A modification of Newton's method for analytic mappings having multiple zeros

DOI10.1007/S006070050017zbMath0933.65049OpenAlexW2099505907MaRDI QIDQ1293473

Ann Haegemans, Peter Kravanja

Publication date: 20 March 2000

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s006070050017

zbMATH Keywords

systemsNewton's methodnumerical examplesanalytic functionsmultiple zerossingular zero points

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) General theory of numerical methods in complex analysis (potential theory, etc.) (65E05) Zero sets of holomorphic functions of several complex variables (32A60)

Related Items (6)

On Newton-type methods for multiple roots with cubic convergence ⋮ New higher-order methods for the simultaneous inclusion of polynomial zeros ⋮ On new higher order families of simultaneous methods for finding polynomial zeros ⋮ A study of accelerated Newton methods for multiple polynomial roots ⋮ A higher order family for the simultaneous inclusion of multiple zeros of polynomials ⋮ Sigmoid-like functions and root finding methods

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