On the convergence, dynamics and applications of a new class of nonlinear system solvers
type: Item
instance of: scholarly article
title: On the convergence, dynamics and applications of a new class of nonlinear system solvers
zbMATH Open document ID: 1470.65100
author: Ioannis Konstantinos Argyros
author: Debasis Sharma
author: S. K. Parhi
author: S. K. Sunanda
published in: International Journal of Applied and Computational Mathematics
publication date: 2021-05-21T00:00:00Z
Mathematics Subject Classification ID: 65H10
zbMATH DE Number: 7350416
zbMATH Keywords: iterative methods
zbMATH Keywords: nonlinear systems
zbMATH Keywords: local convergence
zbMATH Keywords: complex dynamics
zbMATH Keywords: stability
zbMATH Keywords: parameter space
MaRDI profile type: Publication
full work available at URL: s40819-020-00893-4
OpenAlex ID: W3085175920
cites work: Numerical analysis with algorithms and programming
cites work: Solving coupled Lane-Emden boundary value problems in catalytic diffusion reactions by the Adomian decomposition method
cites work: A new efficient technique for solving two-point boundary value problems for integro-differential equations
cites work: The wavelet methods to linear and nonlinear reaction-diffusion model arising in mathematical chemistry
cites work: I. Numerical nonlinear analysis: Differential methods and optimization applied to chemical reaction rate determination
cites work: Third-order methods from quadrature formulae for solving systems of nonlinear equations.
cites work: A third-order Newton-type method to solve systems of nonlinear equations
cites work: Some iterative methods for solving a system of nonlinear equations
cites work: A variant of Newton's method with accelerated third-order convergence
cites work: Weerakoon-Fernando method with accelerated third-order convergence for systems of nonlinear equations
cites work: Convergence, efficiency and dynamics of new fourth and sixth order families of iterative methods for nonlinear systems
cites work: An efficient fourth order weighted-Newton method for systems of nonlinear equations
cites work: Efficient Jarratt-like methods for solving systems of nonlinear equations
cites work: A new fourth-order family for solving nonlinear problems and its dynamics
cites work: On the convergence of an optimal fourth-order family of methods and its dynamics
cites work: A new fourth order Newton-type method for solution of system of nonlinear equations
cites work: Q5326192
cites work: Variants of Newton's method using fifth-order quadrature formulas
cites work: On a novel fourth-order algorithm for solving systems of nonlinear equations
cites work: Some Fourth Order Multipoint Iterative Methods for Solving Equations
cites work: A modified Newton-Jarratt's composition
cites work: A study on the local convergence and the dynamics of Chebyshev-Halley-type methods free from second derivative
cites work: Local convergence for some third-order iterative methods under weak conditions
cites work: Reducing chaos and bifurcations in Newton-type methods
cites work: Q3413866
cites work: Dynamics of the King and Jarratt iterations
cites work: Chaotic dynamics of a third-order Newton-type method
cites work: Choosing the most stable members of Kou's family of iterative methods
cites work: Stability study of eighth-order iterative methods for solving nonlinear equations
cites work: Complex dynamics of derivative-free methods for nonlinear equations
cites work: On optimal fourth-order iterative methods free from second derivative and their dynamics
cites work: Different anomalies in a Jarratt family of iterative root-finding methods
cites work: Dynamics of a family of Chebyshev-Halley type methods
cites work: Q4328167
cites work: Derivative-free high-order methods applied to preliminary orbit determination
cites work: Convergence and Applications of Newton-type Iterations
cites work: Computational methods in nonlinear analysis. Efficient algorithms, fixed point theory and applications
cites work: Q5563748
cites work: Q5732060
cites work: Extending the applicability of a Newton-Simpson-like method
cites work: Local convergence and complex dynamics of a uni-parametric family of iterative schemes
cites work: On the local convergence of a third-order iterative scheme in Banach spaces
cites work: Complex dynamics of a sixth and seventh order family of root finding methods
DOI: 10.1007/S40819-020-00893-4
description: scientific article; zbMATH DE number 7350416