Variants of Newton's method for functions of several variables
From MaRDI portal
Publication:864757
DOI10.1016/j.amc.2006.05.062zbMath1123.65042OpenAlexW2068720794MaRDI QIDQ864757
Alicia Cordero, Juan Ramón Torregrosa Sánchez
Publication date: 13 February 2007
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2006.05.062
system of nonlinear equationsnumerical examplesNewton methodfixed point iterationtrapezoidal rulequadratic covergence
Related Items (60)
Extending the applicability and convergence domain of a higher-order iterative algorithm under \(\omega\) condition ⋮ Unified local convergence for a certain family of methods in Banach space ⋮ Efficient derivative-free numerical methods for solving systems of nonlinear equations ⋮ Fixed points of closed and compact composite sequences of operators and projectors in a class of Banach spaces ⋮ Derivative free iterative methods for nonlinear systems ⋮ Variants of Newton's method using fifth-order quadrature formulas ⋮ Simple yet efficient Newton-like method for systems of nonlinear equations ⋮ Some iterative methods for solving a system of nonlinear equations ⋮ A positive spectral gradient-like method for large-scale nonlinear monotone equations ⋮ Analysis of two Chebyshev-like third order methods free from second derivatives for solving systems of nonlinear equations ⋮ On iterative techniques for estimating all roots of nonlinear equation and its system with application in differential equation ⋮ Design of high-order iterative methods for nonlinear systems by using weight function procedure ⋮ Fourth- and fifth-order methods for solving nonlinear systems of equations: an application to the global positioning system ⋮ Pseudocomposition: A technique to design predictor-corrector methods for systems of nonlinear equations ⋮ Ball convergence of an efficient multi-step scheme for solving equations and systems of equations ⋮ A descent Dai-Liao conjugate gradient method for nonlinear equations ⋮ A comparison of the Newton-Krylov method with high order Newton-like methods to solve nonlinear systems ⋮ Unified ball convergence of third and fourth convergence order algorithms under $omega-$continuity conditions ⋮ Local convergence analysis of an efficient fourth order weighted-Newton method under weak conditions ⋮ Increasing the order of convergence of multistep methods for solving systems of equations under weak conditions ⋮ On an Aitken-Newton type method ⋮ An efficient fourth order weighted-Newton method for systems of nonlinear equations ⋮ Convergence analysis of a three step Newton-like method for nonlinear equations in Banach space under weak conditions ⋮ A class of computationally efficient Newton-like methods with frozen inverse operator for nonlinear systems ⋮ Improved Newton-like methods for solving systems of nonlinear equations ⋮ Some quadrature-based versions of the generalized Newton method for solving nonsmooth equations ⋮ Semilocal convergence analysis of a fifth-order method using recurrence relations in Banach space under weak conditions ⋮ Unnamed Item ⋮ The iterative methods with higher order convergence for solving a system of nonlinear equations ⋮ New iterative technique for solving a system of nonlinear equations ⋮ A unified model for solving a system of nonlinear equations ⋮ An improved Newton-Traub composition for solving systems of nonlinear equations ⋮ Two efficient derivative-free iterative methods for solving nonlinear systems ⋮ A novel family of composite Newton-Traub methods for solving systems of nonlinear equations ⋮ Achieving higher order of convergence for solving systems of nonlinear equations ⋮ A new approach based on the Newton's method to solve systems of nonlinear equations ⋮ On interpolation variants of Newton's method for functions of several variables ⋮ A novel bi-parametric sixth order iterative scheme for solving nonlinear systems and its dynamics ⋮ Efficient Jarratt-like methods for solving systems of nonlinear equations ⋮ Iterative methods of order four and five for systems of nonlinear equations ⋮ On two families of high order Newton type methods ⋮ Extending the convergence domain of deformed Halley method under \(\omega\) condition in Banach spaces ⋮ Ball comparison between four fourth convergence order methods under the same set of hypotheses for solving equations ⋮ Higher-order modification of Steffensen's method for solving system of nonlinear equations ⋮ Some higher order Newton-like methods for solving system of nonlinear equations and its applications ⋮ Spectral modified Polak-Ribiére-Polyak projection conjugate gradient method for solving monotone systems of nonlinear equations ⋮ New fourth- and sixth-order classes of iterative methods for solving systems of nonlinear equations and their stability analysis ⋮ Local convergence analysis of a modified Newton-Jarratt's composition under weak conditions ⋮ On systems of nonlinear equations: some modified iteration formulas by the homotopy perturbation method with accelerated fourth- and fifth-order convergence ⋮ Ball convergence of some iterative methods for nonlinear equations in Banach space under weak conditions ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Local convergence for multistep high order methods under weak conditions ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Convergence of Traub's iteration under \(\omega\) continuity condition in Banach spaces ⋮ A Modified Newton–Özban Composition for Solving Nonlinear Systems ⋮ Accelerating the convergence speed of iterative methods for solving nonlinear systems ⋮ A class of accurate Newton-Jarratt-like methods with applications to nonlinear models ⋮ Some Quadrature-Based Versions of the Generalized Newton Method for Solving Unconstrained Optimization Problems
Cites Work
This page was built for publication: Variants of Newton's method for functions of several variables
