New fourth- and sixth-order classes of iterative methods for solving systems of nonlinear equations and their stability analysis
type: Item
instance of: scholarly article
title: New fourth- and sixth-order classes of iterative methods for solving systems of nonlinear equations and their stability analysis
zbMATH Open document ID: 1470.65103
author: Munish Kansal
author: S. Bhalla
author: Alicia Cordero
author: Juan Ramón Torregrosa Sánchez
published in: Numerical Algorithms
publication date: 2021-06-24T00:00:00Z
Mathematics Subject Classification ID: 65H10
Mathematics Subject Classification ID: 65Y20
zbMATH DE Number: 7363164
zbMATH Keywords: systems of nonlinear equations
zbMATH Keywords: order of convergence
zbMATH Keywords: multipoint iterative methods
zbMATH Keywords: stability analysis
MaRDI profile type: Publication
full work available at URL: s11075-020-00997-4
OpenAlex ID: W3083297350
cites work: Variants of Newton's method for functions of several variables
cites work: Third-order methods from quadrature formulae for solving systems of nonlinear equations.
cites work: On the computational efficiency index and some iterative methods for solving systems of nonlinear equations
cites work: A modified Newton method with cubic convergence: the multivariate case
cites work: Variants of Newton's method using fifth-order quadrature formulas
cites work: Super cubic iterative methods to solve systems of nonlinear equations
cites work: A third-order Newton-type method to solve systems of nonlinear equations
cites work: Q3343091
cites work: On some improved harmonic mean Newton-like methods for solving systems of nonlinear equations
cites work: Iterative methods of order four and five for systems of nonlinear equations
cites work: Efficient high-order methods based on golden ratio for nonlinear systems
cites work: Approximation of artificial satellites' preliminary orbits: the efficiency challenge
cites work: New two-parameter Chebyshev-Halley-like family of fourth and sixth-order methods for systems of nonlinear equations
cites work: Some new efficient multipoint iterative methods for solving nonlinear systems of equations
cites work: Some higher-order iteration functions for solving nonlinear models
cites work: On a two-parameter Chebyshev-Halley-like family of optimal two-point fourth order methods free from second derivatives
cites work: New highly efficient families of higher-order methods for simple roots, permitting \(f'(x_n)=0\)
cites work: Q5652137
cites work: A modified Newton-Jarratt's composition
cites work: Derivative-free high-order methods applied to preliminary orbit determination
cites work: Chaos in King's iterative family
cites work: On two families of high order Newton type methods
cites work: Basins of attraction for optimal eighth order methods to find simple roots of nonlinear equations
cites work: Chaotic dynamics of a third-order Newton-type method
cites work: Dynamics of a family of Chebyshev-Halley type methods
cites work: A sixth-order family of three-point modified Newton-like multiple-root finders and the dynamics behind their extraneous fixed points
cites work: Avoiding strange attractors in efficient parametric families of iterative methods for solving nonlinear problems
cites work: Dynamical analysis of iterative methods for nonlinear systems or how to deal with the dimension?
cites work: Q4899294
cites work: Efficient Jarratt-like methods for solving systems of nonlinear equations
cites work: Some Fourth Order Multipoint Iterative Methods for Solving Equations
cites work: A Comparison of Several Current Optimization Methods, and the use of Transformations in Constrained Problems
cites work: Computational methods in nonlinear analysis. Efficient algorithms, fixed point theory and applications
cites work: An efficient higher-order quasilinearization method for solving nonlinear BVPs
cites work: Benchmarking optimization software with performance profiles.
DOI: 10.1007/S11075-020-00997-4
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description: scientific article; zbMATH DE number 7363164