Polynomial Automorphisms, Arno van den Essen

Автор: Ivan Cheltsov; Ciro Ciliberto; Hubert Flenner; Jam
Название: Automorphisms in Birational and Affine Geometry
ISBN: 3319056808 ISBN-13(EAN): 9783319056807
Издательство: Springer
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Цена: 22359.00 р.
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Описание: The main focus of this volume is on the problem of describing the automorphism groups of affine and projective varieties, a classical subject in algebraic geometry where, in both cases, the automorphism group is often infinite dimensional.

Автор: Arno van den Essen
Название: Automorphisms of Affine Spaces
ISBN: 0792335236 ISBN-13(EAN): 9780792335238
Издательство: Springer
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Цена: 20956.00 р.
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Описание: This work describes the latest results concerning several conjectures related to polynomial automorphisms: the Jacobian, real Jacobian, Markus-Yamabe, linearization and tame generators conjectures. Group actions and dynamical systems play a dominant role.

Автор: Bogdan Dumitrescu
Название: Positive Trigonometric Polynomials and Signal Processing Applications
ISBN: 3319536877 ISBN-13(EAN): 9783319536873
Издательство: Springer
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Цена: 19564.00 р.
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Описание: This book gathers the main recent results on positive trigonometric polynomials within a unitary framework. The theory of sum-of-squares trigonometric polynomials is presented unitarily based on the concept of Gram matrix (extended to Gram pair or Gram set).

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.
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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: Masser
Название: Auxiliary Polynomials in Number Theory
ISBN: 1107061571 ISBN-13(EAN): 9781107061576
Издательство: Cambridge Academ
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Цена: 21226.00 р.
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Описание: A unified account of various aspects of a simple, yet powerful, classical method, illustrated by applications in several areas of number theory. These include diophantine approximation and transcendence, along with exponential sums and counting problems in both finite fields and the field of rationals. Recommended for graduates and professionals.