The Best Piecewise Linearization of Nonlinear Functions  

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

机构地区：[1]Department of Applied Mathematics, School of Mathematical Sciences, Ferdowsi University of Mashhad, International Campus, Mashhad, Iran

出　　处：《Applied Mathematics》2014年第20期3270-3276,共7页应用数学（英文）

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.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.

关 键 词：NONLINEAR Systems PIECEWISE LINEARIZATION Optimization PROBLEM LINEAR PROGRAMMING 

分 类 号：O1[理学—数学]