Different anomalies in a Jarratt family of iterative root-finding methods

From MaRDI portal
Publication:272533

DOI10.1016/j.amc.2014.01.037zbMath1334.65083OpenAlexW1971939073MaRDI QIDQ272533

Ángel Alberto Magreñán

Publication date: 20 April 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2014.01.037




Related Items (only showing first 100 items - show all)

CMMSE2017: on two classes of fourth- and seventh-order vectorial methods with stable behaviorSecant-like methods for solving nonlinear models with applications to chemistrySecond derivative free sixth order continuation method for solving nonlinear equations with applicationsBall convergence of a sixth-order Newton-like method based on means under weak conditionsDynamical analysis of iterative methods for nonlinear systems or how to deal with the dimension?Extended ball convergence for a seventh order derivative free class of algorithms for nonlinear equationsComplex dynamics of a sixth and seventh order family of root finding methodsHighly efficient family of iterative methods for solving nonlinear modelsNewton's method on generalized Banach spacesOn the new family of optimal eighth order methods developed by Lotfi et al.A new tool to study real dynamics: the convergence planeOn the convergence of an optimal fourth-order family of methods and its dynamicsA variant of Steffensen-King's type family with accelerated sixth-order convergence and high efficiency index: dynamic study and approachAn analysis of a family of Maheshwari-based optimal eighth order methodsComparative study of methods of various orders for finding repeated roots of nonlinear equationsExtended iterative schemes based on decomposition for nonlinear modelsOn the comparison of inventory replenishment policies with time-varying stochastic demand for the paper industryThird-degree anomalies of Traub's methodOn the convergence of a higher order family of methods and its dynamicsThe basins of attraction of Murakami's fifth order family of methodsA stable family with high order of convergence for solving nonlinear equationsOn developing a higher-order family of double-Newton methods with a bivariate weighting functionA study on the local convergence and complex dynamics of Kou's family of iterative methodsOn the election of the damped parameter of a two-step relaxed Newton-type methodLocal convergence and a chemical application of derivative free root finding methods with one parameter based on interpolationChaos and convergence of a family generalizing Homeier's method with damping parametersOn developing fourth-order optimal families of methods for multiple roots and their dynamicsOn the convergence of inexact two-point Newton-like methods on Banach spacesExtended Traub-Woźniakowski convergence and complexity of Newton iteration in Banach spaceA family of higher order iterations free from second derivative for nonlinear equations in \(\mathbb{R}\)Widening basins of attraction of optimal iterative methodsLocal convergence and complex dynamics of a uni-parametric family of iterative schemesConvergence for iterative methods on Banach spaces of a convergence structure with applications to fractional calculusBall convergence theorems and the convergence planes of an iterative method for nonlinear equationsA complex dynamical approach of Chebyshev's methodLong-term orbit dynamics viewed through the yellow main component in the parameter space of a family of optimal fourth-order multiple-root findersLocal convergence for some high convergence order Newton-like methods with frozen derivativesBall convergence for an eighth order efficient method under weak conditions in Banach spacesImproved Chebyshev-Halley family of methods with seventh and eighth order of convergence for simple rootsA note on ``Convergence radius of Osada's method under Hölder continuous conditionStability analysis of a parametric family of seventh-order iterative methods for solving nonlinear systemsAn efficient optimal family of sixteenth order methods for nonlinear modelsDynamical aspects of some convex acceleration methods as purely iterative algorithm for Newton's mapsLocal convergence of a multi-step high order method with divided differences under hypotheses on the first derivativeBall comparison between two optimal eight-order methods under weak conditionsOn the local convergence of Kung-Traub's two-point method and its dynamics.On the local convergence and the dynamics of Chebyshev-Halley methods with six and eight order of convergenceA biparametric extension of King's fourth-order methods and their dynamicsA multidimensional dynamical approach to iterative methods with memoryA family of optimal quartic-order multiple-zero finders with a weight function of the principal \(k\)th root of a derivative-to-derivative ratio and their basins of attractionA sixth-order family of three-point modified Newton-like multiple-root finders and the dynamics behind their extraneous fixed pointsDynamics of a multipoint variant of Chebyshev-Halley's familySymbolic computation and computer graphics as tools for developing and studying new root-finding methodsStudy of iterative methods through the Cayley quadratic testLocal convergence of an optimal eighth order method under weak conditionsNewton-type methods on generalized Banach spaces and applications in fractional calculusLocal convergence of an efficient high convergence order method using hypothesis only on the first derivativeLocal convergence analysis of an eighth order scheme using hypothesis only on the first derivativeExtending the convergence domain of the secant and Moser method in Banach spaceGraphical representations for the homogeneous bivariate Newton's methodComparison of several families of optimal eighth order methodsComparing the basins of attraction for Kanwar-Bhatia-Kansal family to the best fourth order methodBall convergence comparison between three iterative methods in Banach space under hypothese only on the first derivativeBasins of attraction for several third order methods to find multiple roots of nonlinear equationsA class of two-point sixth-order multiple-zero finders of modified double-Newton type and their dynamicsAn analysis of a Khattri's 4th order family of methodsOn the dynamics of a triparametric family of optimal fourth-order multiple-zero finders with a weight function of the principal \(m\)th root of a function-to-function ratioImproving the domain of parameters for Newton's method with applicationsLocal convergence and the dynamics of a two-point four parameter Jarratt-like method under weak conditionsConstructing a family of optimal eighth-order modified Newton-type multiple-zero finders along with the dynamics behind their purely imaginary extraneous fixed pointsUnifying semilocal and local convergence of Newton's method on Banach space with a convergence structureOn the approximation of \(m\)th power divided differences preserving the local order of convergenceMultidimensional stability analysis of a family of biparametric iterative methods: CMMSE2016A Krasnosel'skii-Zincenko-type method in \(K\)-normed spaces for solving equationsComparative study of eighth-order methods for finding simple roots of nonlinear equationsDifferent methods for solving STEM problemsExtended local convergence for some inexact methods with applicationsDynamical analysis on cubic polynomials of damped Traub's method for approximating multiple rootsLocal convergence of iterative methods for solving equations and system of equations using weight function techniquesExtending the applicability of the super-Halley-like method using \(\omega\)-continuous derivatives and restricted convergence domainsConstruction of stable and globally convergent schemes for the matrix sign functionOn the convergence, dynamics and applications of a new class of nonlinear system solversBall convergence for an inverse free jarratt-type method under Hölder conditionsA study of dynamics via Möbius conjugacy map on a family of sixth-order modified Newton-like multiple-zero finders with bivariate polynomial weight functionsA unified convergence analysis for some iterative algorithms with applications to fractional calculusBall convergence for second derivative free methods in Banach spaceGeneralized \(g\)-fractional calculus of Canavati-type and secant-like methodsExtending the applicability of the inexact Newton-HSS method for solving large systems of nonlinear equationsBall convergence of some iterative methods for nonlinear equations in Banach space under weak conditionsLocal convergence of fourth and fifth order parametric family of iterative methods in Banach spacesThe dynamical analysis of a uniparametric family of three-point optimal eighth-order multiple-root finders under the Möbius conjugacy map on the Riemann sphereConvergence analysis for single point Newton-type iterative schemesAn efficient high order iterative scheme for large nonlinear systems with dynamicsOn the complexity of choosing majorizing sequences for iterative proceduresUnified convergence for multi-point super Halley-type methods with parameters in Banach spaceLocal convergence of a family of weighted-Newton methodsSome higher-order iteration functions for solving nonlinear modelsExtended three step sixth order Jarratt-like methods under generalized conditions for nonlinear equationsDerivative free fourth order solvers of equations with applications in applied disciplinesA new fourth-order family for solving nonlinear problems and its dynamics



Cites Work


This page was built for publication: Different anomalies in a Jarratt family of iterative root-finding methods