The Use of Rational Functions in the Iterative Solution of Equations on a Digital Computer
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Publication:4050031
DOI10.1093/comjnl/8.1.62zbMath0296.65020OpenAlexW2101645551MaRDI QIDQ4050031
Publication date: 1965
Published in: The Computer Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1093/comjnl/8.1.62
Numerical computation of solutions to single equations (65H05) Algorithms for approximation of functions (65D15) Algorithms in computer science (68W99)
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The Construction of Rational Iterating Functions ⋮ Root-Finding by Fitting Rational Functions ⋮ On some simultaneous methods based on Weierstrass' correction ⋮ An optimal and efficient general eighth-order derivative free scheme for simple roots ⋮ An efficient optimal family of sixteenth order methods for nonlinear models ⋮ Root-finding by divided differences ⋮ Efficient polynomial root-refiners: a survey and new record efficiency estimates ⋮ New family of root-finding algorithms based on inverse rational interpolation ⋮ Sixth order methods for solving equations ⋮ Several new methods for solving equations ⋮ On a general class of optimal order multipoint methods for solving nonlinear equations ⋮ A family of derivative-free methods for solving nonlinear equations ⋮ A family of methods for solving nonlinear equations using quadratic interpolation ⋮ Methods without secant steps for finding a bracketed root ⋮ Efficient methods of optimal eighth and sixteenth order convergence for solving nonlinear equations ⋮ Some real-life applications of a newly constructed derivative free iterative scheme ⋮ A note on neta's family of sixth-order methods for solving equations ⋮ AN OPTIMAL FAMILY OF EIGHTH-ORDER ITERATIVE METHODS WITH AN INVERSE INTERPOLATORY RATIONAL FUNCTION ERROR CORRECTOR FOR NONLINEAR EQUATIONS ⋮ General approach to constructing optimal multipoint families of iterative methods using Hermite's rational interpolation
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