Improved Newton-like methods for solving systems of nonlinear equations

DOI10.1007/s40324-016-0085-xzbMath1391.65147OpenAlexW2395900292MaRDI QIDQ1699721

Himani Arora, Janak Raj Sharma

Publication date: 23 February 2018

Published in: S\(\vec{\text{e}}\)MA Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40324-016-0085-x

zbMATH Keywords

Newton's methodsystems of nonlinear equationscomputational efficiencyorder of convergence

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Complexity and performance of numerical algorithms (65Y20)

Related Items (13)

Ball convergence of an efficient eighth order iterative method under weak conditions ⋮ A Class of Higher-Order Newton-Like Methods for Systems of Nonlinear Equations ⋮ Ball convergence of an efficient multi-step scheme for solving equations and systems of equations ⋮ Stability analysis of a parametric family of seventh-order iterative methods for solving nonlinear systems ⋮ Construction and Dynamics of Efficient High-Order Methods for Nonlinear Systems ⋮ A class of computationally efficient Newton-like methods with frozen inverse operator for nonlinear systems ⋮ Extended convergence ball for an efficient eighth order method using only the first derivative ⋮ Design and analysis of a faster King-Werner-type derivative free method ⋮ Unnamed Item ⋮ Newton-like methods with increasing order of convergence and their convergence analysis in Banach space ⋮ Efficient two-step fifth-order and its higher-order algorithms for solving nonlinear systems with applications ⋮ A class of accurate Newton-Jarratt-like methods with applications to nonlinear models ⋮ Highly efficient solvers for nonlinear equations in Banach space

Uses Software

• Mathematica

Cites Work

• Unnamed Item
• Unnamed Item
• Ostrowski type methods for solving systems of nonlinear equations
• On the approximation of derivatives using divided difference operators preserving the local convergence order of iterative methods
• On the computational efficiency index and some iterative methods for solving systems of nonlinear equations
• New two-parameter Chebyshev-Halley-like family of fourth and sixth-order methods for systems 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
• On efficient weighted-Newton methods for solving systems of nonlinear equations
• Third-order methods from quadrature formulae for solving systems of nonlinear equations.
• A modified Newton method with cubic convergence: the multivariate case
• Efficient Jarratt-like methods for solving systems of nonlinear equations
• Iterative methods of order four and five for systems of nonlinear equations
• A fourth-order method from quadrature formulae to solve systems of nonlinear equations
• Variants of Newton's method using fifth-order quadrature formulas
• Some iterative methods for solving a system of nonlinear equations
• A Technique to Composite a Modified Newton's Method for Solving Nonlinear Equations
• Two weighted eight-order classes of iterative root-finding methods
• Some new efficient multipoint iterative methods for solving nonlinear systems of equations
• Some Fourth Order Multipoint Iterative Methods for Solving Equations
• A note on \(Q\)-order of convergence
• A modified Newton-Jarratt's composition

This page was built for publication: Improved Newton-like methods for solving systems of nonlinear equations