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 AM  Vol.5 No.20 , November 2014
The Best Piecewise Linearization of Nonlinear Functions
Mohammad Mehdi Mazarei, Ali Asghar Behroozpoor, Ali Vahidian Kamyad
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Abstract: 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.
Keywords: Nonlinear Systems, Piecewise Linearization, Optimization Problem, Linear Programming
Cite this paper: Mazarei, M. , Behroozpoor, A. and Kamyad, A. (2014) The Best Piecewise Linearization of Nonlinear Functions. Applied Mathematics, 5, 3270-3276. doi: 10.4236/am.2014.520305.
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