本书作者梅萃·博赛克斯教授是优化理论的国际著名学者、美国国家工程院院士，现任美国麻省理工学院电气工程与计算机科学系教授，曾在斯坦福大学工程经济系和伊利诺伊大学电气工程系任教，在优化理论、控制工程、通信工程、计算机科学等领域有丰富的科研教学经验，成果丰硕。博赛克斯教授是一位多产作者，著有14本专著和教科书。本书是作者在优化理论与方法的系列专著和教科书中的一本，自成体系又相互对应。主要内容分为两部分：凸分析和凸问题的对偶优化理论。

Preface This book aims at an accessible, concise, and intuitive exposition of two related subjects that find broad practical application: (a) Convex analysis, particularly as it relates to optimization. (b) Duality theory for optimization and minimax problems, mainly within a convexity framework. The focus on optimization is to derive conditions for existence of primal and dual optimal solutions for constrained problems such as minimize f(x) subject to x ¡Ê X, gj(x) ¡Ü 0, j = 1, . . . , r. Other types of optimization problems, such as those arising in Fenchel duality, are also part of our scope. The focus on minimax is to derive conditions guaranteeing the equality inf x2X sup...