An Introduction to Polynomial and Semi-Algebraic by Jean Bernard Lasserre PDF

By Jean Bernard Lasserre

ISBN-10: 1107060575

ISBN-13: 9781107060579

ISBN-10: 110763069X

ISBN-13: 9781107630697

this is often the 1st complete creation to the strong second process for fixing international optimization difficulties (and a few comparable difficulties) defined via polynomials (and even semi-algebraic functions). specifically, the writer explains how you can use rather fresh effects from actual algebraic geometry to supply a scientific numerical scheme for computing the optimum price and international minimizers. certainly, between different issues, robust positivity certificate from actual algebraic geometry permit one to outline a suitable hierarchy of semidefinite (SOS) relaxations or LP relaxations whose optimum values converge to the worldwide minimal. numerous extensions to similar optimization difficulties also are defined. Graduate scholars, engineers and researchers getting into the sector can use this publication to appreciate, test with and grasp this new method during the easy 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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