A Linearized Relaxing Algorithm for the Specific Nonlinear Optimization Problem. (2nd June 2016)

• Record Type: Journal Article
• Authors: Horai, Mio; Kobayashi, Hideo; Nitta, Takashi G.
• Other Names: Jódar Lucas Academic Editor.
• Is Part Of: Abstract and applied analysis. Volume 2016(2016)
• Publication Date: 2016-06-02
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Applied Mathematics; Mathematical Analysis; Periodicals; 515.05
• DOI: 10.1155/2016/1304954
• Languages: English
• ISSNs: 1085-3375

Abstract

Abstract : We propose a new method for the specific nonlinear and nonconvex global optimization problem by using a linear relaxation technique. To simplify the specific nonlinear and nonconvex optimization problem, we transform the problem to the lower linear relaxation form, and we solve the linear relaxation optimization problem by the Branch and Bound Algorithm. Under some reasonable assumptions, the global convergence of the algorithm is certified for the problem. Numerical results show that this method is more efficient than the previous methods.