期刊名称：Walailak Journal of Science and Technology (WJST)
印刷版ISSN：2228-835X
出版年度：2014
卷号：11
期号：12
页码：1031-1040
DOI：10.2004/wjst.v11i12.573
语种：English
出版社：Institute of Research and Development, Walailak University.
摘要：In this paper, we define the functional optimization problems corresponding to multi-variable smooth functions, so that their optimal solutions are partial derivatives of these functions. These functional optimization problems are applied for multi-variables nonsmooth functions, so that by solving these problems we obtain generalized partial derivatives. For this purpose, linear programming problems corresponding to the functional optimization problems are obtained, so that their optimal solutions give the approximate generalized partial derivatives. In some illustrative examples, we show the efficiency of our approach by obtaining the generalized partial derivative of some smooth and nonsmooth functions, respectively. doi: 10.14456/WJST.2014.58
