Auxiliary Polynomials in Number Theory, Masser

Автор: Burgdorf
Название: Optimization of Polynomials in Non-Commuting Variables
ISBN: 3319333364 ISBN-13(EAN): 9783319333366
Издательство: Springer
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Цена: 6986.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: This bookpresents recent results on positivity and optimization of polynomials innon-commuting variables. Researchers in non-commutative algebraic geometry,control theory, system engineering, optimization, quantum physics andinformation science will find the unified notation and mixture of algebraicgeometry and mathematical programming useful. Theoretical results are matchedwith algorithmic considerations; several examples and information on how to useNCSOStools open source package to obtain the results provided. Results arepresented on detecting the eigenvalue and trace positivity of polynomials innon-commuting variables using Newton chip method and Newton cyclic chip method,relaxations for constrained and unconstrained optimization problems, semidefiniteprogramming formulations of the relaxations and finite convergence of thehierarchies of these relaxations, and the practical efficiency of algorithms.

Автор: T. Sheil-Small
Название: Complex Polynomials
ISBN: 0521400686 ISBN-13(EAN): 9780521400688
Издательство: Cambridge Academ
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Цена: 23285.00 р.
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Описание: This book studies the geometric theory of polynomials and rational functions in the plane. Any theory in the plane should make full use of the complex numbers and thus the early chapters build the foundations of complex variable theory, melding together ideas from algebra, topology and analysis.