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Povh, Janez; Klep, Igor; Burgdorf, Sabine - Optimization of Polynomials in Non-Commuting Variables - 9783319333366 - V9783319333366
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Optimization of Polynomials in Non-Commuting Variables

€ 73.40
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Description for Optimization of Polynomials in Non-Commuting Variables Paperback. Series: SpringerBriefs in Mathematics. Num Pages: 119 pages, 2 colour illustrations, 10 colour tables, biography. BIC Classification: GPFC; PBMW; UFM; UYA. Category: (G) General (US: Trade). Dimension: 235 x 155 x 7. Weight in Grams: 197.

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 ... Read more

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Product Details

Format
Paperback
Publication date
2016
Publisher
Springer International Publishing AG Switzerland
Number of pages
119
Condition
New
Series
SpringerBriefs in Mathematics
Number of Pages
104
Place of Publication
Cham, Switzerland
ISBN
9783319333366
SKU
V9783319333366
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15

Reviews for Optimization of Polynomials in Non-Commuting Variables
“The book covers the basics of NC polynomial optimization, building on elementary material from algebra and analysis as well as on more advanced concepts such as the Gelfand-Naimark-Segal construction. … This short yet very accessible book written by three leading experts in the field contains many examples, including explicit reproducible computations with their open source Mat lab toolbox NCSOS tools. ... Read more

Goodreads reviews for Optimization of Polynomials in Non-Commuting Variables


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