R . t . rockafellar . convex analysis . princeton university press princeton 劉光中.凸分析與極值問題.高等教育出版社. 1991
For convenience of the reader , pertinent results from linear algebra and convex analysis are summarized in chapter two 為方便讀者,在第二章中總結了相關的線性代數和凸分析知識。
Following the introductory first chapter and the second chapter on linear algebra and convex analysis , the book is organized into two parts : linear programming and networks flows 在第一章簡介和第二章線性代數和凸分析之后,本書分為兩部分:線性規劃和網絡流。
Secondly we study the properties of moment generating functions of probability measures , calculate its sub - differential by the convex analysis , use it to characterize the quasi - symmetric probability 本文研究了概率測度的矩母函數的性質,用凸分析的方法算出了矩母函數的次微分,并用此完全刻畫了c . j . stone提出的擬對稱概率測度的性質。
The topics covered in this course include : unconstrained optimization methods , constrained optimization methods , convex analysis , lagrangian relaxation , nondifferentiable optimization , and applications in integer programming 這門課程的主題包括:無限制最適化方法,限制最適化方法,凸分析,拉格朗日松弛法,不可微分函數最適化,以及在整數規劃上的應用。
Convex analysis is the branch of mathematics devoted to the study of properties of convex functions and convex sets, often with applications in convex minimization, a subdomain of optimization theory.