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

By Jean Bernard Lasserre

ISBN-10: 1107060575

ISBN-13: 9781107060579

ISBN-10: 110763069X

ISBN-13: 9781107630697

this can be the 1st complete advent to the strong second technique for fixing worldwide optimization difficulties (and a few similar difficulties) defined through polynomials (and even semi-algebraic functions). specifically, the writer explains tips to use quite fresh effects from genuine algebraic geometry to supply a scientific numerical scheme for computing the optimum price 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. a number of extensions to comparable optimization difficulties also are defined. Graduate scholars, engineers and researchers getting into the sector can use this ebook to appreciate, scan with and grasp this new method during 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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