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

By Jean Bernard Lasserre

this is often the 1st complete advent to the strong second technique for fixing international optimization difficulties (and a few comparable difficulties) defined by way of polynomials (and even semi-algebraic functions). specifically, the writer explains find out how to use quite contemporary effects from actual algebraic geometry to supply a scientific numerical scheme for computing the optimum worth and worldwide 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 similar optimization difficulties also are defined. Graduate scholars, engineers and researchers getting into the sphere can use this publication to appreciate, test with and grasp this new process 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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