Nonsmooth Equations in Optimization: "Regularity, Calculus, Methods And Applications"

Nonsmooth Equations in Optimization: "Regularity, Calculus, Methods And Applications"
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发表时间：
2006-09
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通讯作者：
D. Klatte;B. Kummer
D. Klatte;B. Kummer
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其他
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作者：
D. Klatte;B. Kummer

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导论.结果列表。基本符号。1.基本概念。2.规则和后果。3.用导数刻画正则性。4.非线性变分和隐函数。5.有限维中的闭映射6.广义导数的分析7.临界点与广义Kojima函数8.参数优化问题9.进一步非光滑映射的导数与正则性。10.牛顿法求解Lipschitz方程11.特殊牛顿实现和解决方法。12.基本的例子和练习。阑尾参考书目。指数.
Introduction. List of Results. Basic Notation. 1. Basic Concepts. 2. Regularity and Consequences. 3. Characterizations of Regularity by Derivatives. 4. Nonlinear Variations and Implicit Functions. 5. Closed Mappings in Finite Dimension. 6. Analysis of Generalized Derivatives. 7. Critical Points and Generalized Kojima-Functions. 8. Parametric Optimization Problems. 9. Derivatives and Regularity of Further Nonsmooth Maps. 10. Newton's Method for Lipschitz Equations. 11. Particular Newton Realizations and Solution Methods. 12. Basic Examples and Exercises. Appendix. Bibliography. Index.