Optimization of Polynomials in Non-Commuting Variables (SpringerBriefs in Mathematics) - Softcover

Buch 75 von 155: SpringerBriefs in Mathematics

Burgdorf, Sabine; Klep, Igor; Povh, Janez

 
9783319333366: Optimization of Polynomials in Non-Commuting Variables (SpringerBriefs in Mathematics)
Softcover
ISBN 10: 3319333364 ISBN 13: 9783319333366
Verlag: Springer, 2016

Inhaltsangabe

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.

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Verlag
Springer
Erscheinungsdatum
2016
Sprache
Englisch
ISBN 10 
3319333364
ISBN 13 
9783319333366
Einband
Taschenbuch
Auflage
1
Anzahl der Seiten
120
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9783319333373: Optimization of Polynomials in Non-Commuting Variables

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ISBN 10:  3319333372 ISBN 13:  9783319333373
Verlag: Springer, 2016
Softcover