The Best Piecewise Linearization of Nonlinear Functions

作     者：Mohammad Mehdi Mazarei Ali Asghar Behroozpoor Ali Vahidian Kamyad 

作者机构：Department of Applied Mathematics School of Mathematical Sciences Ferdowsi University of Mashhad International Campus Mashhad Iran 

出 版 物：《Applied Mathematics》 (应用数学（英文）)

年 卷 期：2014年第5卷第20期

页      面：3270-3276页

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：Nonlinear Systems Piecewise Linearization Optimization Problem Linear Programming 

摘      要：In this paper, we propose a method for finding the best piecewise linearization of nonlinear functions. For this aim, we try to obtain the best approximation of a nonlinear function as a piecewise linear function. Our method is based on an optimization problem. The optimal solution of this optimization problem is the best piecewise linear approximation of nonlinear function. Finally, we examine our method to some examples.