Results 11 to 20 of about 542 (62)
Multi-step derivative-free preconditioned Newton method for solving systems of nonlinear equations [PDF]
, 2017 Preconditioning of systems of nonlinear equations modifies the associated Jacobian and provides rapid convergence. The preconditioners are introduced in a way that they do not affect the convergence order of parent iterative method.
Ahmad, Fayyaz
core +2 more sources
Semilocal analysis of equations with smooth operators
International Journal of Mathematics and Mathematical Sciences, Volume 4, Issue 3, Page 553-563, 1981., 1981 Recent work on semilocal analysis of nonlinear operator equations is informally reviewed. A refined version of the Kantorovich theorem for Newton′s method, with new error bounds, is presented. Related topics are briefly surveyed.
George J. Miel
wiley +1 more source
Journal of Inequalities and Applications, 2013 In this paper, we present a semi-local convergence analysis of Halley’s method for approximating a locally unique solution of a nonlinear equation in a Banach space setting, where we assume that the second Fréchet-derivative is bounded.
I. Argyros, Y. Cho, H. Ren
semanticscholar +2 more sources
Modifications of the continuation method for the solution of systems of nonlinear equations
International Journal of Mathematics and Mathematical Sciences, Volume 2, Issue 2, Page 299-308, 1979., 1979 Modifications are proposed to the Davidenko‐Broyden algorithm for the solution of a system of nonlinear equations. The aim of the modifications is to reduce the overall number of function evaluations by limiting the number of function evaluations for any one subproblem. To do this alterations are made to the strategy used in determining the subproblems
G. R. Lindfield, D. C. Simpson
wiley +1 more source
Expanding the Applicability of Four Iterative Methods for Solving Least Squares Problems
Annals of the West University of Timisoara: Mathematics and Computer Science, 2017 The aim of this paper is to expand the applicability of four iterative methods for solving nonlinear least squares problems. The advantages obtained under the same computational cost as in earlier studies, include: larger radius of convergence, tighter ...
Argyros Ioannis K. +2 more
doaj +1 more source
THE SHOOTING METHOD FOR SOLVING SECOND ORDER FUZZY TWO-POINT BOUNDARY VALUE PROBLEMS
International Journal of Apllied Mathematics, 2019 We consider the fuzzy two-point boundary value problem (FBVP) subject to some fuzzy boundary conditions on an interval [a, b]. Numerically, we start by transforming the two-point boundary value problem into a system of fuzzy initial value problems (FIVP).
B. Attili
semanticscholar +1 more source
Bayero Journal of Pure and Applied Sciences, 2019 In this paper, we present Levenberg-Marquardt method for solving nonlinear systems of equations. Here, both the objective function and the symmetric Jacobian matrix are assumed to be Lipchitz continuous.
Y. B. Musa, M. Y. Waziri
semanticscholar +1 more source
On a new semilocal convergence analysis for the Jarratt method
Journal of Inequalities and Applications, 2013 We develop a new semilocal convergence analysis for the Jarratt method. Through our new idea of recurrent functions, we develop new sufficient convergence conditions and tighter error bounds.
I. Argyros, Y. Cho, S. Khattri
semanticscholar +2 more sources
Iterative Convergence with Banach Space Valued Functions in Abstract Fractional Calculus
Annals of the West University of Timisoara: Mathematics and Computer Science, 2017 The goal of this paper is to present a semi-local convergence analysis for some iterative methods under generalized conditions. The operator is only assumed to be continuous and its domain is open. Applications are suggested including Banach space valued
Anastassiou George A. +1 more
doaj +1 more source
Global convergence of a modified conjugate gradient method
Journal of Inequalities and Applications, 2014 A modified conjugate gradient method to solve unconstrained optimization problems is proposed which satisfies the sufficient descent condition in the case of the strong Wolfe line search, and its global convergence property is established simply.
Xuesha Wu
semanticscholar +2 more sources