An Introduction to Polynomial and Semi-Algebraic - download pdf or read online

By Jean Bernard Lasserre

ISBN-10: 1107060575

ISBN-13: 9781107060579

ISBN-10: 110763069X

ISBN-13: 9781107630697

this can be the 1st accomplished advent to the strong second technique for fixing worldwide optimization difficulties (and a few comparable difficulties) defined by way of polynomials (and even semi-algebraic functions). specifically, the writer explains tips to use particularly fresh effects from actual algebraic geometry to supply a scientific numerical scheme for computing the optimum price and international minimizers. certainly, between different issues, strong positivity certificate from actual algebraic geometry enable 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 e-book to appreciate, scan with and grasp this new strategy in the course of 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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