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Titlebook: Lectures on Convex Optimization; Yurii Nesterov Textbook 2018Latest edition Springer Nature Switzerland AG 2018 complexity.complexity theo

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书目名称Lectures on Convex Optimization
编辑Yurii Nesterov
视频video
概述Presents a self-contained description of fast gradient methods.Offers the first description in the monographic literature of the modern second-order methods based on cubic regularization.Provides a co
丛书名称Springer Optimization and Its Applications
图书封面Titlebook: Lectures on Convex Optimization;  Yurii Nesterov Textbook 2018Latest edition Springer Nature Switzerland AG 2018 complexity.complexity theo
描述This book provides a comprehensive, modern introduction to convex optimization, a field that is becoming increasingly important in applied mathematics, economics and finance, engineering, and computer science, notably in data science and machine learning...Written by a leading expert in the field, this book includes recent advances in the algorithmic theory of convex optimization, naturally complementing the existing literature. It contains a unified and rigorous presentation of the acceleration techniques for minimization schemes of first- and second-order. It provides readers with a full treatment of the smoothing technique, which has tremendously extended the abilities of gradient-type methods. Several powerful approaches in structural optimization, including optimization in relative scale and polynomial-time interior-point methods, are also discussed in detail..Researchers in theoretical optimization as well as professionals working on optimization problems will findthis book very useful. It presents many successful examples of how to develop very fast specialized minimization algorithms. Based on the author’s lectures, it can naturally serve as the basis for introductory and a
出版日期Textbook 2018Latest edition
关键词complexity; complexity theory; graphs; mathematical programming; optimization; Fast Gradient Methods; Self
版次2
doihttps://doi.org/10.1007/978-3-319-91578-4
isbn_ebook978-3-319-91578-4Series ISSN 1931-6828 Series E-ISSN 1931-6836
issn_series 1931-6828
copyrightSpringer Nature Switzerland AG 2018
The information of publication is updating

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Polynomial-Time Interior-Point Methodssion of the space of variables. On the other hand, for any convex set with explicit structure, such a barrier with a reasonable value of parameter can be constructed by simple combination rules. We present applications of this technique to Linear and Quadratic Optimization, Linear Matrix Inequalities and other optimization problems.
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d by leading authorities in the field.Includes detailed protThe ?rst 30 cm of the earth’s surface represents a fragile and valuable ecos- tem, thanks to which terrestrial plants, and indirectly animals and humans, can live. The microbial activity occurring in soil is largely responsible for its phys
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