Root-finding by divided differences

DOI10.1007/BF01396188zbMath0442.65032OpenAlexW2072306804MaRDI QIDQ1143752

F. M. Larkin

Publication date: 1981

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

Full work available at URL: https://eudml.org/doc/132719

zbMATH Keywords

divided differencesasymptotically quadratic convergencezero of an analytic function

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 (2)

On the denominator values and barycentric weights of rational interpolants ⋮ Efficient polynomial root-refiners: a survey and new record efficiency estimates

Cites Work

• Probabilistic estimation of poles or zeros of functions
• Root-Finding by Fitting Rational Functions
• The Use of Rational Functions in the Iterative Solution of Equations on a Digital Computer
• Convergence of Multipoint Iterative Methods
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