Description: 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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EAN: 9783319333366
UPC: 9783319333366
ISBN: 9783319333366
MPN: N/A
Item Length: 23.4 cm
Subject Area: Data Analysis
Item Height: 235 mm
Item Width: 155 mm
Author: Janez Povh, Sabine Burgdorf, Igor Klep
Publication Name: Optimization of Polynomials in Non-Commuting Variables
Format: Paperback
Language: English
Publisher: Springer International Publishing Ag
Subject: Computer Science, Mathematics, Management
Publication Year: 2016
Type: Textbook
Item Weight: 1942 g
Number of Pages: 104 Pages
