A class of iterative methods for holomorphic functions

DOI10.1007/BF01397080zbMath0213.41802MaRDI QIDQ2545043

Tomaso Pomentale

Publication date: 1971

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/132102

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05)

Related Items (15)

Numerical integration error method for zeros of analytic functions ⋮ Completeness of zero curve tracing for analytic functions ⋮ Relationships between order and efficiency of a class of methods for multiple zeros of polynomials ⋮ Simultaneous factorization of a polynomial by rational approximation ⋮ A family of simultaneous zero finding methods ⋮ Construction of zero-finding methods by Weierstrass functions ⋮ On some simultaneous methods based on Weierstrass' correction ⋮ Dynamics and limiting behavior of Julia sets of König's method for multiple roots ⋮ Regions of convergence and dynamics of Schröder-like iteration formulae as applied to complex polynomial equations with multiple roots ⋮ A globally convergent algorithm for determining approximate real zeros of a class of functions ⋮ A high-order iterative formula for simultaneous determination of zeros of a polynomial ⋮ On the global convergence of Schröder's iteration formula for real zeros of entire functions ⋮ On the global convergence of Schröder's iterative formulae for real roots of algebraic equations ⋮ Estimating convergence regions of Schröder's iteration formula: how the Julia set shrinks to the Voronoi boundary ⋮ Construction of iterative processes with high order of convergence

Cites Work

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• Konstruktion und Durchführung von Iterationsverfahren höherer Ordnung
• Fehlerabschätzungen bei Polynomgleichungen mit dem Fixpunktsatz von Brouwer
• The evaluation of the zeros of ill-conditioned polynomials. I, II
• A new method for solving polynomial equations
• Laguere’s Method and a Circle which Contains at Least One Zero of a Polynomial

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