Solving Nonsmooth Equations Using Derivative-Free Methods
نویسندگان
چکیده
منابع مشابه
Inexact Newton Methods for Solving Nonsmooth Equations
This paper investigates inexact Newton methods for solving systems of nonsmooth equations. We de ne two inexact Newton methods for locally Lipschitz functions and we prove local (linear and superlinear) convergence results under the assumptions of semismoothness and BD-regularity at the solution. We introduce a globally convergent inexact iteration function based method. We discuss implementati...
متن کاملNew Eighth-Order Derivative-Free Methods for Solving Nonlinear Equations
A new family of eighth-order derivative-freemethods for solving nonlinear equations is presented. It is proved that these methods have the convergence order of eight. These new methods are derivative-free and only use four evaluations of the function per iteration. In fact, we have obtained the optimal order of convergence which supports the Kung and Traub conjecture. Kung and Traub conjectured...
متن کاملNonmonotone derivative-free methods for nonlinear equations
In this paper we study nonmonotone globalization techniques, in connection with iterative derivative-free methods for solving a system of nonlinear equations in several variables. First we define and analyze a class of nonmonotone derivative-free linesearch techniques for uncon-strained minimization of differentiable functions. Then we introduce a globalization scheme, which combines nonmonoton...
متن کاملSolving Derivative Equations
Language equations are equations in which the constants are languages, ranging over some specified class, and the operations are drawn from the standard canon of language operations (union, complementation, concatenation, and star). In previous work, various types of language equations have been studied, with the primary objective of determining (existence and uniqueness of) solutions. A soluti...
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 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: The Bulletin of Society for Mathematical Services and Standards
سال: 2012
ISSN: 2277-8020
DOI: 10.18052/www.scipress.com/bsmass.3.37