Local convergence balls for nonlinear problems with multiplicity and their extension to eighth-order convergence
From MaRDI portal
Publication:2298057
DOI10.1155/2019/1427809zbMath1435.65073OpenAlexW2907945140MaRDI QIDQ2298057
Eulalia Martínez, Ramandeep Behl, Ali Saleh Alshomrani, Fabricio Cevallos
Publication date: 20 February 2020
Published in: Mathematical Problems in Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2019/1427809
Numerical computation of solutions to systems of equations (65H10) Numerical computation of solutions to single equations (65H05) Numerical computation of roots of polynomial equations (65H04)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Convergence radius of Osada's method under center-Hölder continuous condition
- An optimal fourth-order family of methods for multiple roots and its dynamics
- An analysis of a family of Maheshwari-based optimal eighth order methods
- Introduction to higher-order iterative methods for finding multiple roots of nonlinear equations
- Families of third and fourth order methods for multiple roots of nonlinear equations
- On a numerical technique for finding multiple zeros and its dynamic
- Finding the solution of nonlinear equations by a class of optimal methods
- Constructing higher-order methods for obtaining the multiple roots of nonlinear equations
- Convergence of the modified Halley's method for multiple zeros under Hölder continuous derivative
- A class of two-point sixth-order multiple-zero finders of modified double-Newton type and their dynamics
- Constructing a family of optimal eighth-order modified Newton-type multiple-zero finders along with the dynamics behind their purely imaginary extraneous fixed points
- A study of dynamics via Möbius conjugacy map on a family of sixth-order modified Newton-like multiple-zero finders with bivariate polynomial weight functions
- A new fourth-order iterative method for finding multiple roots of nonlinear equations
- Some fourth-order nonlinear solvers with closed formulae for multiple roots
- Optimal iterative methods for finding multiple roots of nonlinear equations using free parameters
- On developing fourth-order optimal families of methods for multiple roots and their dynamics
- A sixth-order family of three-point modified Newton-like multiple-root finders and the dynamics behind their extraneous fixed points
- Application of interval Newton's method to chemical engineering problems
- On the convergence radius of the modified Newton method for multiple roots under the center-Hölder condition
- Determination of multiple roots of nonlinear equations and applications
- Variants of Newton's method using fifth-order quadrature formulas
- Extension of Murakami's high-order non-linear solver to multiple roots
- On The Convergence And Application Of Newton's Method Under Weak HÖlder Continuity Assumptions
- Optimal Order of One-Point and Multipoint Iteration
This page was built for publication: Local convergence balls for nonlinear problems with multiplicity and their extension to eighth-order convergence