On some iterative methods for solving nonlinear equations by Emil Cătinaş

“…The Newton method cannot be applied for solving \(h(x)=0\), and we propose an iterative method for solving the nonlinear equation, by combining the Newton method (for the differentiable part) with the chord/secant method (for the nondifferentiable part): \[x_{k+1} = \big(f^\prime(x_k)+[x_{k-1},x_k;g]\big)^{-1}(f(x_k)+g(x_k)).\] We show that the r-convergence order of the method is the same as of the chord/secant method. …”
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New iterative methods for dense linear systems by Wang Jinmei, Yin Lizi, Wang Ke

“…Du, Zheng and Wang presented some new iterative methods for linear systems [Journal of Applied Analysis and Computation, 2011, 1(3): 351-360]. …”
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Parallel in Time Algorithms for Nonlinear Iterative Methods by Gaja Mustafa, Gorynina Olga

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Determining An Unknown Boundary Condition by An Iteration Method by Dejian Huang, Yanqing Li, Donghe Pei

Subjects: “…variational iteration method…”
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Regularization and Iterative Methods for Monotone Variational Inequalities by Xu Hong-Kun, Xu Xiubin

“…We also introduce an iterative method as discretization of the regularization method. …”
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Iterative Method for Railway Wheel Profile Design by Juraj Gerlici, Tomas Lack

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The variational iterated method for solving integral equations by Abeer Aladhab

“… The main objective of this paper is to study the exact solution and approximate solution type of integral equations, by using the variational iteration method, as well as, giving some illustrative examples of linear and nonlinear equations .We tabulate the exact and approximate results. …”
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An Iteration Method for Nonexpansive Mappings in Hilbert Spaces by Lin Wang

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Nonstandard inner products and preconditioned iterative methods by Pestana, J

Iterative Methods for Problems in Computational Fluid Dynamics by Elman, H, Silvester, D, Wathen, A

“…We discuss iterative methods for solving the algebraic systems of equations arising from linearization and discretization of primitive variable formulations of the incompressible Navier-Stokes equations. …”

A parallel iteration method and the convection-diffusion equation / by 213575 Pillis, John D.

Polynomial based iteration methods for symmetric linear systems / by Fischer, Bernd, 1957-

Subjects: “…Iterative methods (Mathematics)…”

An improvement for the area of convergence of the accelerated overrelaxation iterative method by M. Madalena Martins

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Newton type iterative methods with higher order of convergence by Pankaj Jain, Chet Raj Bhatta, Jivandhar Jnawali

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Generalized Iterative Method of Order Four with Divided Differences by Samundra Regmi, Ioannis K. Argyros, Gagan Deep

“…The problem with existing approaches on the local convergence of iterative methods is the usage of Taylor expansion series. …”
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Development of Optimal Iterative Methods with Their Applications and Basins of Attraction by Waikhom Henarita Chanu, Sunil Panday, G. Thangkhenpau

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An optimal iteration method with application to the Thomas-Fermi equation by Marinca Vasile, Herişanu Nicolae

Subjects: “…optimal parametric iteration method (opim)…”
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On Two Iterative Methods for Mixed Monotone Variational Inequalities by Xiwen Lu, Hong-Kun Xu, Ximing Yin

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PHSS Iterative Method for Solving Generalized Lyapunov Equations by Shi-Yu Li, Hai-Long Shen, Xin-Hui Shao

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Extended Convergence of Two Multi-Step Iterative Methods by Samundra Regmi, Ioannis K. Argyros, Jinny Ann John, Jayakumar Jayaraman

“…Iterative methods which have high convergence order are crucial in computational mathematics since the iterates produce sequences converging to the root of a non-linear equation. …”
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