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Titlebook: An Easy Path to Convex Analysis and Applications; Boris Mordukhovich,Nguyen Mau Nam Book 2023Latest edition The Editor(s) (if applicable)

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樓主
發(fā)表于 2025-3-21 19:04:37 | 只看該作者 |倒序瀏覽 |閱讀模式
期刊全稱An Easy Path to Convex Analysis and Applications
影響因子2023Boris Mordukhovich,Nguyen Mau Nam
視頻videohttp://file.papertrans.cn/155/154906/154906.mp4
發(fā)行地址Explains the fundamental theory with an accessible and understandable variational geometric approach.Provides easy access to theoretical and numerical applications to convex optimization and geometry.
學科分類Synthesis Lectures on Mathematics & Statistics
圖書封面Titlebook: An Easy Path to Convex Analysis and Applications;  Boris Mordukhovich,Nguyen Mau Nam Book 2023Latest edition The Editor(s) (if applicable)
影響因子This book examines the most fundamental parts of convex analysis and its applications to?optimization and location problems. Accessible techniques of variational analysis are employed to clarify and simplify some basic proofs in convex analysis and to build a?theory of generalized differentiation for convex functions and sets in finite dimensions.?The book serves as a bridge for the readers who have just started using convex analysis to reach deeper topics in the field. Detailed proofs are presented for most of the results in the book and also included are many figures and exercises for better understanding the material. Applications provided include both the classical topics of convex optimization and important problems of modern convex optimization, convex geometry, and facility location..
Pindex Book 2023Latest edition
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發(fā)表于 2025-3-21 21:53:11 | 只看該作者
Convex Separation and Some Consequences,f convex sets and its connection to proper convex separation. Among the major applications of convex separation and relative interior results, we establish the . for convex sets, which is crucial for developing calculus rules of generalized differentiation for convex functions and set-valued mapping
板凳
發(fā)表于 2025-3-22 02:00:05 | 只看該作者
,Applications to?Problems of?Optimization and?Equilibrium,ers in optimization problems and of Nash equilibria in two-person games, necessary and sufficient optimality conditions in convex constrained optimization, and subgradient methods to solve such problems numerically in both unconstrained and constrained frameworks.
地板
發(fā)表于 2025-3-22 04:55:55 | 只看該作者
,Applications to?Location Problems,e of which in numerous applications is difficult to overstate. The classical problems of this type go back to Fermat, Torricelli, Sylvester along with other mathematicians and applied scientists, but there are generalized versions of such problems that are also formulated and investigated in what fo
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Die mikrophotographische KameraThis chapter presents definitions, examples, and basic properties of convex sets and functions in the finite-dimensional Euclidean space . and also contains some related material.
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https://doi.org/10.1007/978-3-662-26149-1Our main attention in this chapter is drawn to the study of ., which belong to a rather new class of nondifferentiable functions that are challenging theoretically and important for various applications.
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