Articles liés à Optimization of Polynomials in Non-Commuting Variables

Optimization of Polynomials in Non-Commuting Variables - Couverture souple

Livre 75 sur 155: SpringerBriefs in Mathematics

Burgdorf, Sabine; Klep, Igor; Povh, Janez

 
9783319333366: Optimization of Polynomials in Non-Commuting Variables
Couverture souple
ISBN 10 : 3319333364 ISBN 13 : 9783319333366
Editeur : Springer, 2016

Synopsis

This book presents recent results on positivity and optimization of polynomials in non-commuting variables. Researchers in non-commutative algebraic geometry, control theory, system engineering, optimization, quantum physics and information science will find the unified notation and mixture of algebraic geometry and mathematical programming useful. Theoretical results are matched with algorithmic considerations; several examples and information on how to use NCSOStools open source package to obtain the results provided. Results are presented on detecting the eigenvalue and trace positivity of polynomials in non-commuting variables using Newton chip method and Newton cyclic chip method, relaxations for constrained and unconstrained optimization problems, semidefinite programming formulations of the relaxations and finite convergence of the hierarchies of these relaxations, and the practical efficiency of algorithms.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Éditeur
Springer
Date d'édition
2016
Langue
anglais
ISBN 10 
3319333364
ISBN 13 
9783319333366
Reliure
Broché
Numéro d'édition
1
Nombre de pages
120
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