LIBERO WebOPAC Catalogue Display (W561)

Catalogue Information
Field name	Details
Dewey Class	516.35
Title	Optimization of Polynomials in Non-Commuting Variables ([EBook]) / by Sabine Burgdorf, Igor Klep, Janez Povh.
Author	Burgdorf, Sabine
Added Personal Name	Klep, Igor author.
Added Personal Name	Povh, Janez author.
Other name(s)	SpringerLink (Online service)
Publication	Cham : : Springer International Publishing : : Imprint: Springer, , 2016.
Physical Details	XV, 104 p. 2 illus. in color. : online resource.
Series	SpringerBriefs in Mathematics 2191-8198
ISBN	9783319333380
Summary Note	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.:
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-3-319-33338-0
Links to Related Works	Subject References: Algebraic Geometry . Computer software . Management science . Mathematical Software . Mathematics . Operations research . Operations Research, Management Science . Quantum computers . Quantum computing . System theory . Systems Theory, Control . Authors: Burgdorf, Sabine . Klep, Igor . Povh, Janez . Corporate Authors: SpringerLink (Online service) . Series: SpringerBriefs in Mathematics . Classification: 516.35 .

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Optimization of Polynomials in Non-Commuting Variables

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