The Clarke Derivative for the Numerical Optimization

• Main Authors: Yi-Chun Lin, 林怡君
• Other Authors: Jia-Wen Chen
• Format: Others
• Language: en_US
• Published: 2007
• Online Access: http://ndltd.ncl.edu.tw/handle/46254828897219542796

碩士 === 國立嘉義大學 === 應用數學系研究所 === 95 === In this article, our main goal is to study the numerical optimization problem of the non-smooth set-valued mapping. We present a kernel technology for the convergence analysis of numerical optimization methods. Based on the concepts of the Clarke derivative and set-valued mappings. Moreover, the theory and the method of numerical analysis is applied to the study of an atherothrombosis. The non-smooth set-valued mapping is regarded as artery, denoted by the areas between f+ and f_, and the narrow non-smooth part is viewed as a plaque in an embolism artery. In numerical experiments, we use the Clarke derivatives of the object function as an effective tool to find the narrow point (minimizer) in an embolism artery.