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Titlebook: An Easy Path to Convex Analysis and Applications; Boris S. Mordukhovich,Nguyen Mau Nam Book 2014 Springer Nature Switzerland AG 2014

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发表于 2025-3-21 16:14:42 | 显示全部楼层 |阅读模式
期刊全称An Easy Path to Convex Analysis and Applications
影响因子2023Boris S. Mordukhovich,Nguyen Mau Nam
视频video
学科分类Synthesis Lectures on Mathematics & Statistics
图书封面Titlebook: An Easy Path to Convex Analysis and Applications;  Boris S. Mordukhovich,Nguyen Mau Nam Book 2014 Springer Nature Switzerland AG 2014
影响因子Convex optimization has an increasing impact on many areas of mathematics, applied sciences, and practical applications. It is now being taught at many universities and being used by researchers of different fields. As convex analysis is the mathematical foundation for convex optimization, having deep knowledge of convex analysis helps students and researchers apply its tools more effectively. The main goal of this book is to provide an easy access to the most fundamental parts of convex analysis and its applications to optimization. Modern techniques of variational analysis are employed to clarify and simplify some basic proofs in convex analysis and build the theory of generalized differentiation for convex functions and sets in finite dimensions. We also present new applications of convex analysis to location problems in connection with many interesting geometric problems such as the Fermat-Torricelli problem, the Heron problem, the Sylvester problem, and their generalizations. Of course, we do not expect to touch every aspect of convex analysis, but the book consists of sufficient material for a first course on this subject. It can also serve as supplemental reading material fo
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发表于 2025-3-21 21:22:35 | 显示全部楼层
Applications to Optimization and Location Problems, location. Applications to optimization problems are mainly classical, being presented however in a simplified and unified way. On the other hand, applications to location problems are mostly based on recent journal publications and have not been systematically discussed from the viewpoint of convex analysis in monographs and textbooks.
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An Easy Path to Convex Analysis and Applications978-3-031-02406-1Series ISSN 1938-1743 Series E-ISSN 1938-1751
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Untersuchungen an Stromwandlernysis based on convex separation for extremal systems of sets allows us to derive general calculus rules for normals to sets and subgradients of functions. We also include into this chapter some related results on Lipschitz continuity of convex functions and convex duality. Note that some extended ve
发表于 2025-3-22 18:32:35 | 显示全部楼层
,Die Komponenten der Programmer’s Workbench, location. Applications to optimization problems are mainly classical, being presented however in a simplified and unified way. On the other hand, applications to location problems are mostly based on recent journal publications and have not been systematically discussed from the viewpoint of convex
发表于 2025-3-22 22:38:53 | 显示全部楼层
https://doi.org/10.1007/978-3-662-11516-9This chapter presents definitions, examples, and basic properties of convex sets and functions in the Euclidean space ℝ. and also contains some related material.
发表于 2025-3-23 05:26:51 | 显示全部楼层
Spannungswandler mit magnetischem RückschlußThis chapter is devoted to remarkable topics of convex analysis that, together with subdifferential calculus and related results of Chapter 2, constitute the major achievements of this discipline most important for many applications—first of all to convex optimization.
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