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Titlebook: Convex Analysis and Monotone Operator Theory in Hilbert Spaces; Heinz H. Bauschke,Patrick L. Combettes Book 2017Latest edition Springer In

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发表于 2025-3-21 17:54:36 | 显示全部楼层 |阅读模式
书目名称Convex Analysis and Monotone Operator Theory in Hilbert Spaces
编辑Heinz H. Bauschke,Patrick L. Combettes
视频videohttp://file.papertrans.cn/238/237829/237829.mp4
概述Tight interplay among the key notions of convexity, monotonicity, and nonexpansiveness.Accessible to a broad audience.Coverage of many applications of interest to practitioners in finite- and infinite
丛书名称CMS Books in Mathematics
图书封面Titlebook: Convex Analysis and Monotone Operator Theory in Hilbert Spaces;  Heinz H. Bauschke,Patrick L. Combettes Book 2017Latest edition Springer In
描述.This reference text, now in its second edition, offers a modern unifying presentation of three basic areas of nonlinear analysis: convex analysis, monotone operator theory, and the fixed point theory of nonexpansive operators. Taking a unique comprehensive approach, the theory is developed from the ground up, with the rich connections and interactions between the areas as the central focus, and it is illustrated by a large number of examples. The Hilbert space setting of the material offers a wide range of applications while avoiding the technical difficulties of general Banach spaces.. .The authors have also drawn upon recent advances and modern tools to simplify the proofs of key results making the book more accessible to a broader range of scholars and users. Combining a strong emphasis on applications with exceptionally lucid writing and an abundance of exercises, this text is of great value to a large audience including pure and applied mathematicians as well as researchers in engineering, data science, machine learning, physics, decision sciences, economics, and inverse problems. The second edition of Convex Analysis and Monotone Operator Theory in Hilbert Spaces greatly exp
出版日期Book 2017Latest edition
关键词Convex analysis; monotone operator; nonexpansive operator; proximal algorithm; fixed point algorithm; ope
版次2
doihttps://doi.org/10.1007/978-3-319-48311-5
isbn_softcover978-3-319-83911-0
isbn_ebook978-3-319-48311-5Series ISSN 1613-5237 Series E-ISSN 2197-4152
issn_series 1613-5237
copyrightSpringer International Publishing AG 2017
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发表于 2025-3-21 21:02:13 | 显示全部楼层
1613-5237 hers in engineering, data science, machine learning, physics, decision sciences, economics, and inverse problems. The second edition of Convex Analysis and Monotone Operator Theory in Hilbert Spaces greatly exp978-3-319-83911-0978-3-319-48311-5Series ISSN 1613-5237 Series E-ISSN 2197-4152
发表于 2025-3-22 04:08:16 | 显示全部楼层
发表于 2025-3-22 06:32:22 | 显示全部楼层
Heinz H. Bauschke,Patrick L. CombettesTight interplay among the key notions of convexity, monotonicity, and nonexpansiveness.Accessible to a broad audience.Coverage of many applications of interest to practitioners in finite- and infinite
发表于 2025-3-22 12:04:06 | 显示全部楼层
CMS Books in Mathematicshttp://image.papertrans.cn/c/image/237829.jpg
发表于 2025-3-22 16:57:44 | 显示全部楼层
https://doi.org/10.1057/9781137508416This chapter reviews basic definitions, facts, and notation from topology and set-valued analysis that will be used throughout the book.
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发表于 2025-3-22 22:30:44 | 显示全部楼层
Critical Criminological PerspectivesIn this chapter, we develop basic results concerning support points, including the Bishop–Phelps theorem and the representation of a nonempty closed convex set as the intersection of the closed half-spaces containing it. Polar sets are also studied.
发表于 2025-3-23 01:39:32 | 显示全部楼层
Exploratory and Drift VandalismConvex functions, which lie at the heart of modern optimization, are introduced in this chapter. We study operations that preserve convexity and the interplay between various continuity properties.
发表于 2025-3-23 05:51:40 | 显示全部楼层
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