Optimization of Polynomials in Non-Commuting Variables (Paperback, 1st ed. 2016)

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.

General

Imprint:	Springer International Publishing AG
Country of origin:	Switzerland
Series:	SpringerBriefs in Mathematics
Release date:	July 2016
First published:	2016
Authors:	Sabine Burgdorf • Igor Klep • Janez Povh
Dimensions:	235 x 155 x 7mm (L x W x T)
Format:	Paperback
Pages:	104
Edition:	1st ed. 2016
ISBN-13:	978-3-319-33336-6
Categories:	Books > Computing & IT > General theory of computing > Mathematical theory of computation Books > Reference & Interdisciplinary > Communication studies > Information theory > Cybernetics & systems theory Books > Science & Mathematics > Mathematics > Geometry > Algebraic geometry Books > Computing & IT > Computer software packages > Other software packages > Mathematical & statistical software Promotions
LSN:	3-319-33336-4
Barcode:	9783319333366

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