img Leseprobe Leseprobe

Optimization of Polynomials in Non-Commuting Variables

Igor Klep, Janez Povh, Sabine Burgdorf

PDF
ca. 53,49 €
Amazon iTunes Thalia.de Weltbild.de Hugendubel Bücher.de ebook.de kobo Osiander Google Books Barnes&Noble bol.com Legimi yourbook.shop Kulturkaufhaus ebooks-center.de
* Affiliatelinks/Werbelinks
Hinweis: Affiliatelinks/Werbelinks
Links auf reinlesen.de sind sogenannte Affiliate-Links. Wenn du auf so einen Affiliate-Link klickst und über diesen Link einkaufst, bekommt reinlesen.de von dem betreffenden Online-Shop oder Anbieter eine Provision. Für dich verändert sich der Preis nicht.

Springer International Publishing img Link Publisher

Naturwissenschaften, Medizin, Informatik, Technik / Arithmetik, Algebra

Beschreibung

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.

Weitere Titel in dieser Kategorie
Cover Hypergroups
Hypergroups
Paul-Hermann Zieschang
139,09 €
Cover The Lucas Sequences
The Lucas Sequences
Christian J.-C. Ballot
139,09 €

Kundenbewertungen

Schlagwörter

Newton cyclic chip method, polynomial data, Extracting optimizers, quantum information science, mathematical optimization, free analysis, quantum mechanics, quantum theory, Sum of hermitian squares, non-commutative algebraic geometry, Newton chip method, semidefinite programming, Unconstrained optimization, free real algebraic geometry