非常经典，我们教材就用的这个！该版本非常清晰，强烈推荐！
Preface xi
1 Introduction 1
1.1 Mathematical optimization . . . . . . . . . . . . . . . . . . . . . . . . 1
1.2 Least-squares and linear programming . . . . . . . . . . . . . . . . . . 4
1.3 Convex optimization . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7
1.4 Nonlinear optimization . . . . . . . . . . . . . . . . . . . . . . . . . . 9
1.5 Outline . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11
1.6 Notation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14
Bibliography . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16
I Theory 19
2 Convex sets 21
2.1 Affine and convex sets . . . . . . . . . . . . . . . . . . . . . . . . . . . 21
2.2 Some important examples . . . . . . . . . . . . . . . . . . . . . . . . . 27
2.3 Operations that preserve convexity . . . . . . . . . . . . . . . . . . . . 35
2.4 Generalized inequalities . . . . . . . . . . . . . . . . . . . . . . . . . . 43
2.5 Separating and supporting hyperplanes . . . . . . . . . . . . . . . . . . 46
2.6 Dual cones and generalized inequalities . . . . . . . . . . . . . . . . . . 51
Bibliography . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 59
Exercises . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 60
3 Convex functions 67
3.1 Basic properties and examples . . . . . . . . . . . . . . . . . . . . . . 67
3.2 Operations that preserve convexity . . . . . . . . . . . . . . . . . . . . 79
3.3 The conjugate function . . . . . . . . . . . . . . . . . . . . . . . . . . 90
3.4 Quasiconvex functions . . . . . . . . . . . . . . . . . . . . . . . . . . . 95
3.5 Log-concave and log-convex functions . . . . . . . . . . . . . . . . . . 104
3.6 Convexity with respect to generalized inequalities . . . . . . . . . . . . 108
Bibliography . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 112
Exercises . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
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by Johannes Jahn (Author)
This book serves as an introductory text to optimization theory in normed spaces. The topics of this book are existence results, various differentiability notions together with optimality conditions, the contingent cone, a generalization of the Lagrange multiplier rule, duality theory, extended semidefinite optimization, and the investigation of linear quadratic and time minimal control problems. This textbook presents fundamentals with particular emphasis on the application to problems in the calculus of variations, approximation and optimal control theory. The reader is expected to have a basic knowledge of linear functional analysis.
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组合优化（Combinatorial Optimization）问题的目标是从组合问题的可行解集中求出最优解...
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RDBTools GUI for Redis Optimization.pdf
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汇总插件大小
对汇总捆绑包进行简单分析，可帮助您发现库使捆绑包膨胀。
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remarkable - 193.72 KB (15.58%)
app - 95.87 KB (7.71%)
autolinker - 81.64 KB (6.57%)
lodash.filter - 62.77 KB (5.05%)
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lib\codemirror.js - 347.8 KB (77.82%)
mode\javascript\javascript.js - 27.78 KB (6.22%)
mode\markdown\markdown.js -
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