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Titlebook: Introduction to Continuous Optimization; Roman A. Polyak Book 2021 Springer Nature Switzerland AG 2021 Lagrange multiplier.Legendre transf

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发表于 2025-3-21 20:02:58 | 显示全部楼层 |阅读模式
书目名称Introduction to Continuous Optimization
编辑Roman A. Polyak
视频video
概述Numerous exercises throughout provide graduate students and instructors with practical utility in a two-semester course in Continuous Optimization.Shows what makes the exterior point methods numerical
丛书名称Springer Optimization and Its Applications
图书封面Titlebook: Introduction to Continuous Optimization;  Roman A. Polyak Book 2021 Springer Nature Switzerland AG 2021 Lagrange multiplier.Legendre transf
描述.This self-contained monograph presents the reader with an authoritative view of Continuous Optimization, an area of mathematical optimization that has experienced major developments during the past 40 years. The book contains results which have not yet been covered in a systematic way as well as a summary of results on NR theory and methods developed over the last several decades. The readership is aimed to graduate students in applied mathematics, computer science, economics, as well as researchers working in optimization and those applying optimization methods for solving real life problems. Sufficient exercises throughout provide graduate students and instructors with practical utility in a two-semester course in Continuous Optimization..The topical coverage includes interior point methods, self-concordance theory and related complexity issues, first and second order methods with accelerated convergence, nonlinear rescaling (NR) theory and exterior point methods, just to mention a few. The book contains a unified approach to both interior and exterior point methods with emphasis of the crucial duality role. One of the main achievements of the book shows what makes the exterior
出版日期Book 2021
关键词Lagrange multiplier; Legendre transformation; convex programming; nonconvex programming; nonlinear progr
版次1
doihttps://doi.org/10.1007/978-3-030-68713-7
isbn_ebook978-3-030-68713-7Series ISSN 1931-6828 Series E-ISSN 1931-6836
issn_series 1931-6828
copyrightSpringer Nature Switzerland AG 2021
The information of publication is updating

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发表于 2025-3-21 21:18:45 | 显示全部楼层
发表于 2025-3-22 04:08:26 | 显示全部楼层
https://doi.org/10.1007/978-3-030-68713-7Lagrange multiplier; Legendre transformation; convex programming; nonconvex programming; nonlinear progr
发表于 2025-3-22 05:51:46 | 显示全部楼层
Roman A. PolyakNumerous exercises throughout provide graduate students and instructors with practical utility in a two-semester course in Continuous Optimization.Shows what makes the exterior point methods numerical
发表于 2025-3-22 11:08:46 | 显示全部楼层
Springer Optimization and Its Applicationshttp://image.papertrans.cn/i/image/473569.jpg
发表于 2025-3-22 13:02:31 | 显示全部楼层
Nonlinear Rescaling: Theory and Methods, from its well-known shortcomings (see Chapter .). Roughly speaking, for inequality-constrained optimization, the NR is to SUMT as AL is to Courant’s penalty method for ECO. Unfortunately, the NR results were published almost 10 years later.
发表于 2025-3-22 20:00:02 | 显示全部楼层
发表于 2025-3-22 23:01:50 | 显示全部楼层
Applications and Numerical Results,diation therapy planning, support vector machine, non-negative least squares, and economic equilibrium. We also provide numerical results of testing both nonlinear and linear optimization problems. The results obtained strongly corroborate the theory.
发表于 2025-3-23 03:30:56 | 显示全部楼层
Springer Nature Switzerland AG 2021
发表于 2025-3-23 08:36:02 | 显示全部楼层
Introduction to Continuous Optimization978-3-030-68713-7Series ISSN 1931-6828 Series E-ISSN 1931-6836
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