The continuous, desingularized Newton method for meromorphic functions

DOI10.1007/BF00047503zbMath0701.58031OpenAlexW2102127610MaRDI QIDQ914218

Hubertus Th. Jongen, Peter Jonker, Frank Twilt

Publication date: 1988

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00047503

zbMATH Keywords

dynamical systemNewton methodmeromorphic function

Mathematics Subject Classification ID

Dynamics induced by flows and semiflows (37C10) Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35) Meromorphic functions of one complex variable (general theory) (30D30) Stability theory for smooth dynamical systems (37C75)

Related Items

Iteration of meromorphic functions, Discrete versus continuous Newton's method: A case study, Newton flows for elliptic functions. II: Structural stability: classification and representation, An acceleration of the continuous Newton's method, Geometry of polynomials and root-finding via path-lifting, Newton flows for elliptic functions I, Continuous Newton's method for polynomials., On parametric nonlinear programming, On the classification of plane graphs representing structurally stable rational Newton flows, Newton flows for elliptic functions: a pilot study†, Julia Sets and Differential Equations, Newton vector fields on the plane and on the torus, On an application of dynamical systems theory to determine all the zeros of a vector function

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