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Titlebook: Optimization; Kenneth Lange Textbook 2013Latest edition Springer Science+Business Media New York 2013 Convexity.Differentiation.Gauge Inte

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发表于 2025-3-21 17:05:23 | 显示全部楼层 |阅读模式
书目名称Optimization
编辑Kenneth Lange
视频video
概述Provides an integration of mathematical theory and development of numerical algorithms for applied optimization.Includes new chapters on calculus of variations, integration, and block relaxation.Showc
丛书名称Springer Texts in Statistics
图书封面Titlebook: Optimization;  Kenneth Lange Textbook 2013Latest edition Springer Science+Business Media New York 2013 Convexity.Differentiation.Gauge Inte
描述.Finite-dimensional optimization problems occur throughout the mathematical sciences. The majority of these problems cannot be solved analytically. This introduction to optimization attempts to strike a balance between presentation of mathematical theory and development of numerical algorithms. Building on students’ skills in calculus and linear algebra, the text provides a rigorous exposition without undue abstraction. Its stress on statistical applications will be especially appealing to graduate students of statistics and biostatistics. The intended audience also includes students in applied mathematics, computational biology, computer science, economics, and physics who want to see rigorous mathematics combined with real applications..In this second edition the emphasis remains on finite-dimensional optimization. New material has been added on the MM algorithm, block descent and ascent, and the calculus of variations. Convex calculus is now treated in much greater depth.  Advanced topics such as the Fenchel conjugate, subdifferentials, duality, feasibility, alternating projections, projected gradient methods, exact penalty methods, and Bregman iteration will equip students with
出版日期Textbook 2013Latest edition
关键词Convexity; Differentiation; Gauge Integral; Integration; Optimization; Statistical variance
版次2
doihttps://doi.org/10.1007/978-1-4614-5838-8
isbn_softcover978-1-4899-9270-3
isbn_ebook978-1-4614-5838-8Series ISSN 1431-875X Series E-ISSN 2197-4136
issn_series 1431-875X
copyrightSpringer Science+Business Media New York 2013
The information of publication is updating

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Convex Calculus,t to generalize the definition of a convex function . to include the possibility that .. This maneuver has the advantage of allowing one to enlarge the domain of a convex function . defined on a convex set . ;⊂ ;.. to all of .. by the simple device of setting . for ..
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Kenneth LangeProvides an integration of mathematical theory and development of numerical algorithms for applied optimization.Includes new chapters on calculus of variations, integration, and block relaxation.Showc
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,The Seven C’s of Analysis, and connected. Chapter 6 will add to these six c’s the seventh c, convex. At first blush these concepts seem remote from practical problems of optimization. However, painful experience and exotic counterexamples have taught mathematicians to pay attention to details. Fortunately, we can benefit fro
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