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 accomplished advent to the robust second procedure for fixing international optimization difficulties (and a few similar difficulties) defined by way of polynomials (and even semi-algebraic functions). particularly, the writer explains find out how to use fairly 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 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 coming into the sphere can use this booklet to appreciate, test with and grasp this new process 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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