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

Algebra

By Jean Bernard Lasserre

ISBN-10: 1107060575

ISBN-13: 9781107060579

ISBN-10: 110763069X

ISBN-13: 9781107630697

this can be the 1st complete creation to the robust second strategy for fixing international optimization difficulties (and a few comparable difficulties) defined by means of polynomials (and even semi-algebraic functions). particularly, the writer explains easy methods to use really contemporary effects from actual algebraic geometry to supply a scientific numerical scheme for computing the optimum worth and international minimizers. certainly, between different issues, robust positivity certificate from actual 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 coming into the sector can use this e-book to appreciate, scan with and grasp this new technique 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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