Extending the convergence domain of deformed Halley method under \(\omega\) condition in Banach spaces
type: Item
instance of: scholarly article
title: Extending the convergence domain of deformed Halley method under \(\omega\) condition in Banach spaces
author: Debasis Sharma
author: S. K. Parhi
author: S. K. Sunanda
published in: Boletín de la Sociedad Matemática Mexicana. Third Series
publication date: 2021-05-03T00:00:00Z
Mathematics Subject Classification ID: 47H99
Mathematics Subject Classification ID: 49M15
Mathematics Subject Classification ID: 65J15
Mathematics Subject Classification ID: 65D99
Mathematics Subject Classification ID: 65G99
zbMATH DE Number: 7342839
zbMATH Keywords: local convergence
zbMATH Keywords: iterative schemes
zbMATH Keywords: convergence domain
zbMATH Keywords: Banach space
zbMATH Keywords: \(\omega\) continuity condition
MaRDI profile type: Publication
full work available at URL: s40590-021-00318-2
OpenAlex ID: W3136323413
cites work: On the local convergence study for an efficient \(k\)-step iterative method
cites work: Convergence and Applications of Newton-type Iterations
cites work: Numerical methods for equations and its applications.
cites work: Computational methods in nonlinear analysis. Efficient algorithms, fixed point theory and applications
cites work: On the local convergence of fast two-step Newton-like methods for solving nonlinear equations
cites work: A study on the local convergence and the dynamics of Chebyshev-Halley-type methods free from second derivative
cites work: Local convergence of deformed Halley method in Banach space under Holder continuity conditions
cites work: Local convergence for multi-point-parametric Chebyshev-Halley-type methods of high convergence order
cites work: Local convergence of modified Halley-like methods
cites work: Local convergence for some third-order iterative methods under weak conditions
cites work: Local convergence of a fifth convergence order method in Banach space
cites work: On the local convergence of Weerakoon-Fernando method with \(\omega\) continuity condition in Banach spaces
cites work: On the complexity of extending the convergence region for Traub's method
cites work: Construction of fourth-order optimal families of iterative methods and their dynamics
cites work: On optimal fourth-order iterative methods free from second derivative and their dynamics
cites work: Variants of Newton's method for functions of several variables
cites work: On the local convergence of a fifth-order iterative method in Banach spaces
cites work: A fourth-order method from quadrature formulae to solve systems of nonlinear equations
cites work: On the local convergence of Newton's method under generalized conditions of Kantorovich
cites work: Some variant of Newton's method with third-order convergence.
cites work: On the local convergence of a Newton-Kurchatov-type method for non-differentiable operators
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: A composite fourth-order iterative method for solving nonlinear equations
cites work: Local convergence of fourth and fifth order parametric family of iterative methods in Banach spaces
cites work: Enlarging the convergence domain in local convergence studies for iterative methods in Banach spaces
cites work: Some iterative methods for solving a system of nonlinear equations
cites work: Q5652137
cites work: Some new variants of Newton's method.
cites work: Q5326192
cites work: Q3932219
cites work: On the local convergence of a third-order iterative scheme in Banach spaces
cites work: Extending the applicability of a Newton-Simpson-like method
cites work: Local convergence of a Newton-Traub composition in Banach spaces
cites work: Local convergence of a parameter based iteration with Hölder continuous derivative in Banach spaces
cites work: Q5732060
cites work: A variant of Newton's method with accelerated third-order convergence
cites work: Newton-Kantorovich theorem for a family of modified Halley's method under Hölder continuity conditions in Banach space
DOI: 10.1007/S40590-021-00318-2
description: scientific article; zbMATH DE number 7342839