Optimization of Polynomials in Non-Commuting Variables

Nonfiction, Science & Nature, Mathematics, Geometry, Science, Physics, Quantum Theory
Cover of the book Optimization of Polynomials in Non-Commuting Variables by Sabine Burgdorf, Igor Klep, Janez Povh, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Sabine Burgdorf, Igor Klep, Janez Povh ISBN: 9783319333380
Publisher: Springer International Publishing Publication: June 7, 2016
Imprint: Springer Language: English
Author: Sabine Burgdorf, Igor Klep, Janez Povh
ISBN: 9783319333380
Publisher: Springer International Publishing
Publication: June 7, 2016
Imprint: Springer
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Springer International Publishing

Cover of the book Advances in Hybridization of Intelligent Methods by Sabine Burgdorf, Igor Klep, Janez Povh
Cover of the book Learning Geriatric Medicine by Sabine Burgdorf, Igor Klep, Janez Povh
Cover of the book Corruption and Governance in Africa by Sabine Burgdorf, Igor Klep, Janez Povh
Cover of the book Higher Education and Hope by Sabine Burgdorf, Igor Klep, Janez Povh
Cover of the book Entrepreneurial Negotiation by Sabine Burgdorf, Igor Klep, Janez Povh
Cover of the book Medical Family Therapy by Sabine Burgdorf, Igor Klep, Janez Povh
Cover of the book Revisiting Metaphors in International Relations Theory by Sabine Burgdorf, Igor Klep, Janez Povh
Cover of the book Long-Range Dependence and Sea Level Forecasting by Sabine Burgdorf, Igor Klep, Janez Povh
Cover of the book Advances in Communication of Design by Sabine Burgdorf, Igor Klep, Janez Povh
Cover of the book Bauxite Mining in Africa by Sabine Burgdorf, Igor Klep, Janez Povh
Cover of the book Risk Management for Engineering Projects by Sabine Burgdorf, Igor Klep, Janez Povh
Cover of the book A Little Book about BIG Chemistry by Sabine Burgdorf, Igor Klep, Janez Povh
Cover of the book Structural Processing for Wireless Communications by Sabine Burgdorf, Igor Klep, Janez Povh
Cover of the book Geometric Modeling in Probability and Statistics by Sabine Burgdorf, Igor Klep, Janez Povh
Cover of the book The Laplace Equation by Sabine Burgdorf, Igor Klep, Janez Povh
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy