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 entire creation to the robust second process for fixing worldwide optimization difficulties (and a few comparable difficulties) defined through polynomials (and even semi-algebraic functions). specifically, the writer explains the best way to use quite contemporary effects from genuine algebraic geometry to supply a scientific numerical scheme for computing the optimum worth and international minimizers. certainly, between different issues, strong positivity certificate from genuine algebraic geometry let one to outline a suitable hierarchy of semidefinite (SOS) relaxations or LP relaxations whose optimum values converge to the worldwide minimal. numerous extensions to comparable optimization difficulties also are defined. Graduate scholars, engineers and researchers getting into the sphere can use this booklet to appreciate, scan with and grasp this new process throughout 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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