Bibliograph

Optimization of Polynomials in Non-Commuting Variables, by Sabine Burgdorf, Igor Klep, Janez Povh

Type

Label

Optimization of Polynomials in Non-Commuting Variables, by Sabine Burgdorf, Igor Klep, Janez Povh

Language

eng

resource.imageBitDepth

Literary Form

non fiction

Main title

Optimization of Polynomials in Non-Commuting Variables

Medium

electronic resource

Nature of contents

dictionaries

Oclc number

951623796

Responsibility statement

by Sabine Burgdorf, Igor Klep, Janez Povh

Series statement

SpringerBriefs in Mathematics,, 2191-8198Springer eBooks

Summary

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.--, Provided by publisher

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Creator