Cambridge Polynomial and Semi-Algebraic Optimization Book - Image 1

£100.36

Cambridge University Press Cambridge Polynomial and Semi-Algebraic Optimization Book

Name: Cambridge Polynomial and Semi-Algebraic Optimization Book
Brand: Cambridge University Press
Price: 100.36 GBP
Availability: InStock

Optimisation

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Description

Explore the fundamentals of global optimization with this comprehensive text from Cambridge University Press. As the first detailed introduction to the moment approach, this book provides a roadmap for solving complex optimization problems described by polynomials and semi-algebraic functions. Readers will learn how to apply recent results from real algebraic geometry to create a systematic numerical scheme. This method allows for the computation of optimal values and global minimizers with precision. By utilizing powerful positivity certificates, the text explains how to define a hierarchy of semidefinite (SOS) relaxations or LP relaxations. This volume is part of the Cambridge Texts in Applied Mathematics series (Number 52), making it an essential resource for students and researchers in algebra and applied mathematics. It offers a clear path to understanding how real algebraic geometry can be used to tackle modern mathematical challenges.

Key Features

Provides the first comprehensive introduction to the moment approach for solving global optimization problems.

Covers optimization for both polynomials and semi-algebraic functions for a broad mathematical scope.

Explains how to use real algebraic geometry to build systematic numerical schemes for computing optimal values.

Details the use of positivity certificates to define hierarchies of semidefinite (SOS) or LP relaxations.

Part of the respected Cambridge Texts in Applied Mathematics series (Series Number 52).

Designed to help researchers find global minimizers through advanced algebraic methods.

Product Specifications

Brand: Cambridge University Press
Format: hardcover
ASIN: 1107060575
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Optimisation
Domain: Amazon UK
Release Date: 19 February 2015
Listed Since: 01 August 2014

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Cambridge University Press Cambridge Polynomial and Semi-Algebraic Optimization Book

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