A Modified Newton–Özban Composition for Solving Nonlinear Systems
From MaRDI portal
Publication:4985144
DOI10.1142/S0219876219500476OpenAlexW2944549399MaRDI QIDQ4985144
Janak Raj Sharma, Rajni Sharma, Nitin Kalra
Publication date: 22 April 2021
Published in: International Journal of Computational Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0219876219500476
nonlinear systemsNewton methodcomputational efficiencyorder of convergencebasins of attractionÖzban's method
Related Items
A Class of Higher-Order Newton-Like Methods for Systems of Nonlinear Equations ⋮ Simple yet highly efficient numerical techniques for systems of nonlinear equations ⋮ Extended local convergence and comparisons for two three-step Jarratt-type methods under the same conditions ⋮ A computationally efficient sixth-order method for nonlinear models ⋮ A simple yet efficient two-step fifth-order weighted-Newton method for nonlinear models ⋮ Modified Hager–Zhang conjugate gradient methods via singular value analysis for solving monotone nonlinear equations with convex constraint ⋮ Reduced cost numerical methods of sixth-order convergence for systems of nonlinear models
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Dynamical analysis of iterative methods for nonlinear systems or how to deal with the dimension?
- A new tool to study real dynamics: the convergence plane
- An efficient fifth order method for solving systems of nonlinear equations
- On the approximation of derivatives using divided difference operators preserving the local convergence order of iterative methods
- Semilocal convergence of a sixth-order Jarratt method in Banach spaces
- On the computational efficiency index and some iterative methods for solving systems of nonlinear equations
- A novel family of composite Newton-Traub methods for solving systems of nonlinear equations
- Efficient method for solving a system of nonlinear equations
- New two-parameter Chebyshev-Halley-like family of fourth and sixth-order methods for systems of nonlinear equations
- An efficient three-step method to solve system of nonlinear equations
- A new fourth order Newton-type method for solution of system of nonlinear equations
- Increasing the convergence order of an iterative method for nonlinear systems
- Variants of Newton's method for functions of several variables
- A third-order Newton-type method to solve systems of nonlinear equations
- Third-order methods from quadrature formulae for solving systems of nonlinear equations.
- A new class of methods with higher order of convergence for solving systems of nonlinear equations
- An improved Newton-Traub composition for solving systems of nonlinear equations
- Some new variants of Newton's method.
- A modified Newton method with cubic convergence: the multivariate case
- An efficient fourth order weighted-Newton method for systems of nonlinear equations
- Efficient Jarratt-like methods for solving systems of nonlinear equations
- Iterative methods of order four and five for systems of nonlinear equations
- A new fourth-order family for solving nonlinear problems and its dynamics
- A fourth-order method from quadrature formulae to solve systems of nonlinear equations
- Variants of Newton's method using fifth-order quadrature formulas
- Computational theory of iterative methods.
- Some iterative methods for solving a system of nonlinear equations
- A multi-step class of iterative methods for nonlinear systems
- Some new efficient multipoint iterative methods for solving nonlinear systems of equations
- MPFR
- Solving Nonlinear Equations with Newton's Method
- Efficient Family of Sixth-Order Methods for Nonlinear Models with Its Dynamics
- Some Fourth Order Multipoint Iterative Methods for Solving Equations
- A note on \(Q\)-order of convergence
- A modified Newton-Jarratt's composition
