Convex analysis and variational problems
Convex analysis and variational problems
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DOI：
10.1137/1.9781611971088
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发表时间：
1976
期刊：
影响因子：
--
通讯作者：
I. Ekeland;R. Téman
中科院分区：
文献类型：
--
作者：
I. Ekeland;R. Téman
经典版前言前言第一部分：凸性分析的基础。凸函数2.凸函数的极小化与变分不等式3.凸优化中的对偶问题第二部分：对偶与凸变分问题。4.对偶在变分中的应用(I)5.对偶在变分中的应用(II)6.极大极小定理的对偶7.对偶的其他应用第三部分：松弛和非凸变分问题。8.变分问题解的存在性9.非凸变分问题的松弛(I)10.非凸变分问题的松弛(II)附录I.非凸规划中的先验估计附录II.依赖于参数的非凸优化问题
Preface to the classics edition Preface Part I. Fundamentals of Convex Analysis. I. Convex functions 2. Minimization of convex functions and variational inequalities 3. Duality in convex optimization Part II. Duality and Convex Variational Problems. 4. Applications of duality to the calculus of variations (I) 5. Applications of duality to the calculus of variations (II) 6. Duality by the minimax theorem 7. Other applications of duality Part III. Relaxation and Non-Convex Variational Problems. 8. Existence of solutions for variational problems 9. Relaxation of non-convex variational problems (I) 10. Relaxation of non-convex variational problems (II) Appendix I. An a priori estimate in non-convex programming Appendix II. Non-convex optimization problems depending on a parameter Comments Bibliography Index.