Multi-step derivative-free preconditioned Newton method for solving systems of nonlinear equations
نویسندگان
چکیده
منابع مشابه
Multi-Step Preconditioned Newton Methods for Solving Systems of Nonlinear Equations
The study of different forms of preconditioners for solving a system of nonlinear equations, by using Newton’s method, is presented. The preconditioners provide numerical stability and rapid convergence with reasonable computation cost, whenever chosen accurately. Different families of iterative methods can be constructed by using a different kind of preconditioners. The multi-step iterative me...
متن کاملA New Fifth Order Derivative Free Newton-Type Method for Solving Nonlinear Equations
The present paper deals with fifth order convergent Newton-type with and without derivative iterative methods for estimating a simple root of nonlinear equations. The error equations are used to establish the fifth order of convergence of the proposed iterative methods. Finally, various numerical comparisons are made using MATLAB to demonstrate the performence of the developed methods.
متن کاملNew Efficient Optimal Derivative-Free Method for Solving Nonlinear Equations
In this paper, we suggest a new technique which uses Lagrange polynomials to get derivative-free iterative methods for solving nonlinear equations. With the use of the proposed technique and Steffens on-like methods, a new optimal fourth-order method is derived. By using three-degree Lagrange polynomials with other two-step methods which are efficient optimal methods, eighth-order methods can b...
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 کاملAn Efficient Derivative Free Iterative Method for Solving Systems of Nonlinear Equations
We present a derivative free method of fourth order convergence for solving systems of nonlinear equations. The method consists of two steps of which first step is the well-known Traub’s method. First-order divided difference operator for functions of several variables and direct computation by Taylor’s expansion are used to prove the local convergence order. Computational efficiency of new met...
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: SeMA Journal
سال: 2017
ISSN: 2254-3902,2281-7875
DOI: 10.1007/s40324-017-0112-6