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Titlebook: Optimization in Banach Spaces; Alexander J. Zaslavski Book 2022 The Editor(s) (if applicable) and The Author(s), under exclusive license t

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發(fā)表于 2025-3-21 20:01:03 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Optimization in Banach Spaces
編輯Alexander J. Zaslavski
視頻videohttp://file.papertrans.cn/704/703244/703244.mp4
概述Studies convex optimization problems in a general Banach space under the presence of computational errors.Studies nonconvex optimization problems in a general Banach space under the presence of comput
叢書名稱SpringerBriefs in Optimization
圖書封面Titlebook: Optimization in Banach Spaces;  Alexander J. Zaslavski Book 2022 The Editor(s) (if applicable) and The Author(s), under exclusive license t
描述The book is devoted to the study of constrained minimization? problems on closed and convex sets in Banach spaces with a Frechet differentiable objective function. Such? problems are well studied in a? finite-dimensional space and in an infinite-dimensional Hilbert space. When the space is Hilbert there are many algorithms for solving optimization problems including the gradient projection algorithm which? is one of the most important tools in the optimization theory, nonlinear analysis and their applications. An optimization problem is described by an? objective function? and a set of feasible points. For the gradient projection algorithm each iteration consists of two steps. The first step is a calculation of a gradient of the objective function while in the second one? we calculate a projection on the feasible? set. In each of these two steps there is a computational error. In our recent research we show that the gradient projection algorithm generates a good approximate solution, if all the computational errors are bounded from above by a small positive constant. It should be mentioned that? the properties of a Hilbert space play an important role. When we consider an optimizat
出版日期Book 2022
關(guān)鍵詞Banach space; constrained minimization problem; Hilbert space; approximation theory; nonconvex optimizat
版次1
doihttps://doi.org/10.1007/978-3-031-12644-4
isbn_softcover978-3-031-12643-7
isbn_ebook978-3-031-12644-4Series ISSN 2190-8354 Series E-ISSN 2191-575X
issn_series 2190-8354
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
The information of publication is updating

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emantic information about the environment and agents, including agent roles. It enables functional crowds that perform actions that are appropriate to time and place. This includes both reactive and deliberative actions as well as opportunistic actions and actions that are statistically driven.
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Alexander J. Zaslavski travel, or spectator. Computational methods to model one set of requirements may not mesh well withgood approaches to another. By including both crowd and individual goals and constraints into a comprehensive computational model, we expect to simulate the visual texture and contextual behaviors of
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Alexander J. Zaslavski with these situations, we need diverse knowledge and experience. Thus, to satisfy our customers, we need teamwork..These changes of environments and situations transformed the meaning of value. It used to mean excellent functions and exact reproducibility. Now, it means how good and flexible we can
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with these situations, we need diverse knowledge and experience. Thus, to satisfy our customers, we need teamwork..These changes of environments and situations transformed the meaning of value. It used to mean excellent functions and exact reproducibility. Now, it means how good and flexible we can
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