A new family of higher order methods for solving equations

From MaRDI portal
Publication:3660789

DOI10.1080/00207168308803384zbMath0514.65029OpenAlexW2163234660MaRDI QIDQ3660789

Beny Neta

Publication date: 1983

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207168308803384




Related Items (42)

A general family of third order method for finding multiple rootsAn optimal fourth order iterative method for solving nonlinear equations and its dynamicsOn the new family of optimal eighth order methods developed by Lotfi et al.A two-parameter family of fourth-order iterative methods with optimal convergence for multiple zerosSixteenth-order method for nonlinear equationsThe basins of attraction of Murakami's fifth order family of methodsA stable family with high order of convergence for solving nonlinear equationsChoosing weight functions in iterative methods for simple rootsOn an application of Herzberger’s matrix method to multipoint families of root-solversConstruction of optimal order nonlinear solvers using inverse interpolationAn Ostrowski-type method with memory using a novel self-accelerating parameterOn improved three-step schemes with high efficiency index and their dynamicsNonlinear function inversion using \(k\)-vectorA family of three-point methods of Ostrowski's type for solving nonlinear equationsDynamics of iterative families with memory based on weight functions procedureAn optimal reconstruction of Chebyshev-Halley type methods for nonlinear equations having multiple zerosEfficient polynomial root-refiners: a survey and new record efficiency estimatesInterpolatory multipoint methods with memory for solving nonlinear equationsBasin attractors for various methods for multiple rootsUnnamed ItemOn Some Highly Efficient Derivative Free Methods With and Without Memory for Solving Nonlinear EquationsOn a family of Laguerre methods to find multiple roots of nonlinear equationsSeveral new methods for solving equationsComparison of several families of optimal eighth order methodsComparing the basins of attraction for Kanwar-Bhatia-Kansal family to the best fourth order methodNew third order nonlinear solvers for multiple rootsBasins of attraction for several third order methods to find multiple roots of nonlinear equationsA general class of one-parametric with memory method for solving nonlinear equationsOn Popovski's method for nonlinear equationsMultipoint methods for solving nonlinear equations: a surveyA dynamical comparison between iterative methods with memory: are the derivatives good for the memory?Extension of Murakami's high-order non-linear solver to multiple rootsOn the convergence radius of the modified Newton method for multiple roots under the center-Hölder conditionOn generalized biparametric multipoint root finding methods with memoryHigh-order nonlinear solver for multiple rootsEfficient two-step derivative-free iterative methods with memory and their dynamicsNew families of nonlinear third-order solvers for finding multiple rootsA new family of Newton-type iterative methods with and without memory for solving nonlinear equationsOptimal fourth order methods with its multi-step version for nonlinear equation and their basins of attractionEfficient \(n\)-point iterative methods with memory for solving nonlinear equationsA third-order modification of Newton's method for multiple rootsA new biparametric family of two-point optimal fourth-order multiple-root finders



Cites Work


This page was built for publication: A new family of higher order methods for solving equations