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02825nam a22005535i 4500 |
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978-3-319-33338-0 |
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DE-He213 |
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20160607085756.0 |
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cr nn 008mamaa |
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160607s2016 gw | s |||| 0|eng d |
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|a 9783319333380
|9 978-3-319-33338-0
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|a 10.1007/978-3-319-33338-0
|2 doi
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|d GrThAP
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|a QA564-609
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|a PBMW
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|a MAT012010
|2 bisacsh
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|a 516.35
|2 23
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|a Burgdorf, Sabine.
|e author.
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|a Optimization of Polynomials in Non-Commuting Variables
|h [electronic resource] /
|c by Sabine Burgdorf, Igor Klep, Janez Povh.
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|a Cham :
|b Springer International Publishing :
|b Imprint: Springer,
|c 2016.
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| 300 |
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|a XV, 104 p. 2 illus. in color.
|b online resource.
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|a text
|b txt
|2 rdacontent
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|a computer
|b c
|2 rdamedia
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|a online resource
|b cr
|2 rdacarrier
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| 347 |
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|a text file
|b PDF
|2 rda
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|a SpringerBriefs in Mathematics,
|x 2191-8198
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| 520 |
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|a 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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|a Mathematics.
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|a Algebraic geometry.
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|a System theory.
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|a Computer software.
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|a Quantum computers.
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| 650 |
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|a Operations research.
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|a Management science.
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1 |
4 |
|a Mathematics.
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| 650 |
2 |
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|a Algebraic Geometry.
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| 650 |
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|a Quantum Computing.
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| 650 |
2 |
4 |
|a Operations Research, Management Science.
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| 650 |
2 |
4 |
|a Mathematical Software.
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| 650 |
2 |
4 |
|a Systems Theory, Control.
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| 700 |
1 |
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|a Klep, Igor.
|e author.
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| 700 |
1 |
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|a Povh, Janez.
|e author.
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| 710 |
2 |
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|a SpringerLink (Online service)
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|t Springer eBooks
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| 776 |
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8 |
|i Printed edition:
|z 9783319333366
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| 830 |
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|a SpringerBriefs in Mathematics,
|x 2191-8198
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| 856 |
4 |
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|u http://dx.doi.org/10.1007/978-3-319-33338-0
|z Full Text via HEAL-Link
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| 912 |
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|a ZDB-2-SMA
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| 950 |
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|a Mathematics and Statistics (Springer-11649)
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