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Titlebook: Lectures on Variational Analysis; Asen L. Dontchev Book 2021 The Editor(s) (if applicable) and The Author(s), under exclusive license to S

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书目名称Lectures on Variational Analysis
编辑Asen L. Dontchev
视频video
概述Includes in-text exercises and examples.Presents topics in variational analysis and optimal control to readers without a background in the field.Provides overview of major developments in an evolving
丛书名称Applied Mathematical Sciences
图书封面Titlebook: Lectures on Variational Analysis;  Asen L. Dontchev Book 2021 The Editor(s) (if applicable) and The Author(s), under exclusive license to S
描述This book presents an introduction to variational analysis, a field which unifies theories and techniques developed in calculus of variations, optimization, and control, and covers convex analysis, nonsmooth analysis, and set-valued analysis. It focuses on problems with constraints, the analysis of which involves set-valued mappings and functions that are not differentiable. Applications of variational analysis are interdisciplinary, ranging from financial planning to steering a flying object. The book is addressed to graduate students, researchers, and practitioners in mathematical sciences, engineering, economics, and finance. A typical reader of the book should be familiar with multivariable calculus and linear algebra. Some basic knowledge in optimization, control, and elementary functional analysis is desirable, but all necessary background material is included in the book..
出版日期Book 2021
关键词constrained optimization; set-valued analysis; non smooth analysis; metric regularity; strong regularity
版次1
doihttps://doi.org/10.1007/978-3-030-79911-3
isbn_softcover978-3-030-79913-7
isbn_ebook978-3-030-79911-3Series ISSN 0066-5452 Series E-ISSN 2196-968X
issn_series 0066-5452
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
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Discrete Approximations,tically, finding an optimal control means producing numerically an approximation of it. To obtain such an approximation, the usual way is to approximate the problem by another problem that we can solve numerically.
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