书目名称 | Convex Analysis and Monotone Operator Theory in Hilbert Spaces | 编辑 | Heinz H. Bauschke,Patrick L. Combettes | 视频video | http://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 |  | 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 | doi | https://doi.org/10.1007/978-3-319-48311-5 | isbn_softcover | 978-3-319-83911-0 | isbn_ebook | 978-3-319-48311-5Series ISSN 1613-5237 Series E-ISSN 2197-4152 | issn_series | 1613-5237 | copyright | Springer International Publishing AG 2017 |
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