標題: | 非線性規劃 Nonlinear Programming |
作者: | 方述誠 Open Education Office 開放教育推動中心 |
公開日期: | 2009 |
摘要: | 本課程是由交通大學 運輸與物流管理學系提供。 本課程為方述誠老師應邀授課,授課內容與課程大綱稍有不同。 課程目標/概述 This course is divided into three major parts dealing with convex analysis, optimality conditions and duality, and computational methods. The ultimate goal in optimization studies is to develop efficient computational schemes for solving the problem at hand. Convex analysis involves convex sets and convex functions and is central to the study of the field of optimization. Optimality conditions and duality can be used not only to develop termination criteria but also to motivate and design the computational method itself. To describe many computational methods (algorithms) for solving different classes of nonlinear programming problems. 本錄影課程為方述誠老師應邀授課,授課內容與課程大綱稍有不同。 課程章節 課程章節 單元主題 第一週 Mathematical Review 第二週 Convex Sets 第三週 Convex Functions and Generalizations 第四週 Nonlinear Programming 第五週 Motivation, Intuition, Speculation, Theorization 第六週 General Form of NLP 第七週 Conjugate Transformation 第八週 Duality Theory 第九週 Solution Methods of NLP 第十週 One Dimensional Search 第十一週 Newtons Method 第十二週 Conjugate Gradient Method 第十三週 Constrained Optimization 第十四週 Necessary Conditions for Optimality 第十五週 Sensitivity Analysis 第十六週 Lagrangian Dual Problem 第十七週 Constrained Optimization Methods 課程書目 課堂筆記 評分標準 項目 作業 期中考試 期末考試 授課對象:大學生、研究所學生 預備知識:數學相關課程與具研究興趣 |
URI: | http://ocw.nctu.edu.tw/course_detail.php?bgid=3&nid=358 http://hdl.handle.net/11536/108214 |
顯示於類別: | 開放式課程 |