%0 Journal Article %T An Algorithm for Global Optimization Using Formula Manupulation %A Tsutomu Shohdohji %A Fumihiko Yano %J Applied Mathematics %P 1601-1606 %@ 2152-7393 %D 2012 %I Scientific Research Publishing %R 10.4236/am.2012.311221 %X Constrained nonlinear optimization problems are well known as very difficult problems. In this paper, we present a new algorithm for solving such problems. Our proposed algorithm combines the Branch-and-Bound algorithm and Lipschitz constant to limit the search area effectively; this is essential for solving constrained nonlinear optimization problems. We obtain a more appropriate Lipschitz constant by applying the formula manipulation system of each divided area. Therefore, we obtain a better approximate solution without using a lot of searching points. The efficiency of our proposed algorithm has been shown by the results of some numerical experiments. %K Global Optimization %K Lipschitz Constant %K Lipschitz Condition %K Branch-and-Bound Algorithm %K Formula Manipulation %U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=24376