Moments, Positive Polynomials and Their Ap... epub pdf mobi txt 電子書下載 2024

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發表於2024-11-27

商品介绍

店鋪：瀾瑞外文Lanree圖書專營店

齣版社： Imperial College Press

ISBN：9781848164451

商品編碼：1078521286

包裝：精裝

外文名稱：Moments, Positive Poly...

齣版時間：2009-10-01

頁數：361

正文語種：英語

Moments, Positive Polynomials and Their Ap... epub pdf mobi txt 電子書下載 2024

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圖書基本信息

Moments, Positive Polynomials and Their Applications
作者： Jean-Bernard Lasserre
ISBN13： 9781848164451
類型：精裝(精裝書)
語種：英語（English）
齣版日期： 2009-10-01
齣版社： Imperial College Press
頁數： 361
重量（剋）： 703
尺寸： 23.114 x 15.494 x 2.286 cm

商品簡介

Many important applications in global optimization, algebra, probability and statistics, applied mathematics, control theory, financial mathematics, inverse problems, etc. can be modeled as a particular instance of the Generalized Moment Problem (GMP).This book introduces a new general methodology to solve the GMP when its data are polynomials and basic semi-algebraic sets. This methodology combines semidefinite programming with recent results from real algebraic geometry to provide a hierarchy of semidefinite relaxations converging to the desired optimal value. Applied on appropriate cones, standard duality in convex optimization nicely expresses the duality between moments and positive polynomials.In the second part, the methodology is particularized and described in detail for various applications, including global optimization, probability, optimal control, mathematical finance, multivariate integration, etc., and examples are provided for each particular application.Errata(s)Errata

Moments, Positive Polynomials and Their Ap... epub pdf mobi txt 電子書下載 2024

Moments, Positive Polynomials and Their Ap... 下載 epub mobi pdf txt 電子書