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Optimization of Polynomials in Non-Commuting Variables
Engelsk
Bogcover for Optimization of Polynomials in Non-Commuting Variables af Sabine Burgdorf, Igor Klep, Janez Povh, 9783319333366
Specifikationer
Sprog:
Engelsk
Sider:
104
ISBN-13:
9783319333366
Indbinding:
Paperback
ISBN-10:
3319333364
Udg. Dato:
16 jul 2016
Størrelse i cm:
23,5 x 15,5
Oplagsdato:
16 jul 2016

Optimization of Polynomials in Non-Commuting Variables

Engelsk
Paperback 2016
Format:

Bog beskrivelse
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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Specifikationer
Sprog:
Engelsk
Sider:
104
ISBN-13:
9783319333366
Indbinding:
Paperback
ISBN-10:
3319333364
Udg. Dato:
16 jul 2016
Størrelse i cm:
23,5 x 15,5
Oplagsdato:
16 jul 2016
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