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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Optimization of Polynomials in Non-Commuting Variables

Optimization of Polynomials in Non-Commuting Variables

Burgdorf, Sabine
Klep, Igor
Povh, Janez

Paperback

Series: Springerbriefs in Mathematics

Business GeneralGeometryPhysics

ISBN10: 3319333364
ISBN13: 9783319333366
Publisher: Springer Nature
Published: Jul 16 2016
Pages: 104
Weight: 0.40
Height: 0.26 Width: 6.14 Depth: 9.21
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.

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