| 书目名称 | Fundamentals of Convex Analysis and Optimization | | 副标题 | A Supremum Function | | 编辑 | Rafael Correa,Abderrahim Hantoute,Marco A. López | | 视频video | | | 概述 | Convexity based on the properties of the supremum of a family of convex functions.Emphasizes direct approach to the mathematic foundations of convex optimization.Contains chapter-level exercises with | | 丛书名称 | Springer Series in Operations Research and Financial Engineering | | 图书封面 |  | | 描述 | This book aims at an innovative approach within the framework of convex analysis and optimization, based on an in-depth study of the behavior and properties of the supremum of families of convex functions. It presents an original and systematic treatment of convex analysis, covering standard results and improved calculus rules in subdifferential analysis. The tools supplied in the text allow a direct approach to the mathematical foundations of convex optimization, in particular to optimality and duality theory. Other applications in the book concern convexification processes in optimization, non-convex integration of the Fenchel subdifferential, variational characterizations of convexity, and the study of Chebychev sets. At the same time, the underlying geometrical meaning of all the involved concepts and operations is highlighted and duly emphasized. A notable feature of the book is its unifying methodology, as well as the novelty of providing an alternative or complementary viewto the traditional one in which the discipline is presented to students and researchers. .This textbook can be used for courses on optimization, convex and variational analysis, addressed to graduate and p | | 出版日期 | Textbook 2023 | | 关键词 | Convex analysis; Supremum function; Subdifferential calculus rules; Optimality theory; Constraint qualif | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-031-29551-5 | | isbn_softcover | 978-3-031-29553-9 | | isbn_ebook | 978-3-031-29551-5Series ISSN 1431-8598 Series E-ISSN 2197-1773 | | issn_series | 1431-8598 | | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
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发表于 2025-3-21 17:23:42
