Download e-book for iPad: An Introduction to Polynomial and Semi-Algebraic by Jean Bernard Lasserre

By Jean Bernard Lasserre

ISBN-10: 1107060575

ISBN-13: 9781107060579

ISBN-10: 110763069X

ISBN-13: 9781107630697

this can be the 1st accomplished creation to the strong second process for fixing worldwide optimization difficulties (and a few comparable difficulties) defined by way of polynomials (and even semi-algebraic functions). particularly, the writer explains tips on how to use rather fresh effects from genuine algebraic geometry to supply a scientific numerical scheme for computing the optimum price and worldwide minimizers. certainly, between different issues, strong positivity certificate from actual algebraic geometry let one to outline a suitable hierarchy of semidefinite (SOS) relaxations or LP relaxations whose optimum values converge to the worldwide minimal. a number of extensions to similar optimization difficulties also are defined. Graduate scholars, engineers and researchers getting into the sector can use this booklet to appreciate, scan with and grasp this new procedure throughout the basic labored examples provided.

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An Introduction to Polynomial and Semi-Algebraic Optimization (Cambridge Texts in Applied Mathematics) by Jean Bernard Lasserre

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