SOR- Steffensen-Newton Method to Solve Systems of Nonlinear Equations
نویسندگان
چکیده
منابع مشابه
A third-order Newton-type method to solve systems of nonlinear equations
In this paper, we present a third-order Newton-type method to solve systems of nonlinear equations. In the first we present theoretical preliminaries of the method. Secondly, we solve some systems of nonlinear equations. All test problems show the third-order convergence of our method. 2006 Elsevier Inc. All rights reserved.
متن کاملNew quasi-Newton method for solving systems of nonlinear equations
In this paper, we propose the new Broyden method for solving systems of nonlinear equations, which uses the first derivatives, but it is more efficient than the Newton method (measured by the computational time) for larger dense systems. The new method updates QR decompositions of nonsymmetric approximations of the Jacobian matrix, so it requires O(n) arithmetic operations per iteration in cont...
متن کاملSuper cubic iterative methods to solve systems of nonlinear equations
Two super cubic convergence methods to solve systems of nonlinear equations are presented. The first method is based on the Adomian decomposition method. We state and prove a theorem which shows the cubic convergence for this method. But numerical examples show super cubic convergence. The second method is based on a quadrature formulae to obtain the inverse of Jacobian matrix. Numerical exampl...
متن کاملCombined Mutation Differential Evolution to Solve Systems of Nonlinear Equations
This paper presents a differential evolution heuristic to compute a solution of a system of nonlinear equations through the global optimization of an appropriate merit function. Three different mutation strategies are combined to generate mutant points. Preliminary numerical results show the effectiveness of the presented heuristic.
متن کاملA fourth-order method from quadrature formulae to solve systems of nonlinear equations
In this paper, we obtain a fourth-order convergence method to solve systems of nonlinear equations. This method is based on a quadrature formulae. A general error analysis providing the fourth order of convergence is given. Numerical examples show the fourth-order convergence. This method does not use the second-order Fréchet derivative. 2006 Elsevier Inc. All rights reserved.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal Applied Mathematics
سال: 2012
ISSN: 2163-1409
DOI: 10.5923/j.am.20120202.05