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Schur Parameters, Factorization and Dilation Problems, Tiberiu Constantinescu


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Автор: Tiberiu Constantinescu
Название:  Schur Parameters, Factorization and Dilation Problems
ISBN: 9783034899109
Издательство: Springer
Классификация:
ISBN-10: 3034899106
Обложка/Формат: Paperback
Страницы: 254
Вес: 0.43 кг.
Дата издания: 26.09.2011
Серия: Operator Theory: Advances and Applications
Язык: English
Размер: 244 x 170 x 14
Основная тема: Mathematics
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: The subject of this book is about the ubiquity of the Schur parameters, whose introduction goes back to a paper of I. Schur in 1917 concerning an interpolation problem of C. Caratheodory. What followed there appears to be a truly fascinating story which, however, should be told by a professional historian. Here we provide the reader with a simplified version, mostly related to the contents of the book. In the twenties, thf theory of orthogonal polynomials on the unit circle was developed by G. Szego and the formulae relating these polynomials involved num- bers (usually called Szego parameters) similar to the Schur parameters. Mean- while, R. Nevanlinna and G. Pick studied the theory of another interpolation problem, known since then as the Nevanlinna-Pick problem, and an algorithm similar to Schurs one was obtained by Nevanlinna. In 1957, Z. Nehari solved OO an L problem which contained both Caratheodory-Schur and Nevannlina-Pick problems as particular cases. Apparently unrelated work of H. Weyl, J. von Neu- mann and K. Friedericks concerning selfadjoint extensions of symmetric operators was connected to interpolation by M. A. Naimark and M. G Krein using some gen- eral dilation theoretic ideas. Classical moment problems, like the trigonometric moment and Hamburger moment problems, were also related to these topics and a comprehensive account of what can be called the classical period has appeared in the monograph of M. G. Krein and A. A. Nudelman, KN].


Factorization Method for Boundary Value Problems by Invariant Une

Автор: Jacques Henry
Название: Factorization Method for Boundary Value Problems by Invariant Une
ISBN: 1785481436 ISBN-13(EAN): 9781785481437
Издательство: Elsevier Science
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Цена: 16843.00 р.
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Описание:

Factorization Method for Boundary Value Problems by Invariant Embedding presents a new theory for linear elliptic boundary value problems. The authors provide a transformation of the problem in two initial value problems that are uncoupled, enabling you to solve these successively. This method appears similar to the Gauss block factorization of the matrix, obtained in finite dimension after discretization of the problem. This proposed method is comparable to the computation of optimal feedbacks for linear quadratic control problems.

Non-negative Matrix Factorization Techniques

Автор: Ganesh R. Naik
Название: Non-negative Matrix Factorization Techniques
ISBN: 3662483300 ISBN-13(EAN): 9783662483305
Издательство: Springer
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Цена: 11179.00 р.
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Описание: This book collects new results, concepts and further developments of NMF. This book can be a good reference work for researchers and engineers interested in NMF, and can also be used as a handbook for students and professionals seeking to gain a better understanding of the latest applications of NMF.

An Introduction to Linear Ordinary Differential Equations Using the Impulsive Response Method and Factorization

Автор: Camporesi
Название: An Introduction to Linear Ordinary Differential Equations Using the Impulsive Response Method and Factorization
ISBN: 3319496662 ISBN-13(EAN): 9783319496665
Издательство: Springer
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Цена: 10760.00 р.
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Описание: This book presents a method for solving linear ordinary differential equations based on the factorization of the differential operator. The approach for the case of constant coefficients is elementary, and only requires a basic knowledge of calculus and linear algebra. In particular, the book avoids the use of distribution theory, as well as the other more advanced approaches: Laplace transform, linear systems, the general theory of linear equations with variable coefficients and variation of parameters. The case of variable coefficients is addressed using Mammana’s result for the factorization of a real linear ordinary differential operator into a product of first-order (complex) factors, as well as a recent generalization of this result to the case of complex-valued coefficients.

Wave Factorization of Elliptic Symbols: Theory and Applications

Автор: V. Vasil`ev
Название: Wave Factorization of Elliptic Symbols: Theory and Applications
ISBN: 0792365313 ISBN-13(EAN): 9780792365310
Издательство: Springer
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Цена: 12157.00 р.
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Описание: Presents an approach to studying elliptic differential and integro-differential (pseudodifferential) equations and their boundary problems in non-smooth domains. This volume will be of interest to mathematicians, engineers, and physicists whose work involves partial differential equations, elasticity, viscoelasticity, and electromagnetic theory.

Wave Factorization of Elliptic Symbols: Theory and Applications

Автор: V. Vasil`ev
Название: Wave Factorization of Elliptic Symbols: Theory and Applications
ISBN: 9048155452 ISBN-13(EAN): 9789048155453
Издательство: Springer
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Цена: 12157.00 р.
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Описание: To summarize briefly, this book is devoted to an exposition of the foundations of pseudo differential equations theory in non-smooth domains. Ongoing investigations of different model problems are being carried out with approximately this plan, both for differential and pseudodifferential boundary value problems.

Multilevel Block Factorization Preconditioners

Автор: Panayot S. Vassilevski
Название: Multilevel Block Factorization Preconditioners
ISBN: 1441924485 ISBN-13(EAN): 9781441924483
Издательство: Springer
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Цена: 18167.00 р.
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Описание: This monograph is the first to provide a comprehensive, self-contained and rigorous presentation of some of the most powerful preconditioning methods for solving finite element equations in a common block-matrix factorization framework.

Factorization and Integrable Systems

Автор: Israel Gohberg; Nenad Manojlovic; Antonio, F. dos
Название: Factorization and Integrable Systems
ISBN: 3034894007 ISBN-13(EAN): 9783034894005
Издательство: Springer
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Цена: 13974.00 р.
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Описание: This volume comprises the specially prepared lecture notes of a a Summer School on "Factorization and Integrable Systems" held in September 2000 at the University of Algarve in Portugal. The main aim of the school was to review the modern factorization theory and its application to classical and quantum integrable systems.

Singular Integral Operators, Factorization and Applications

Автор: Albrecht B?ttcher; Marinus A. Kaashoek; Amarino Br
Название: Singular Integral Operators, Factorization and Applications
ISBN: 3034894015 ISBN-13(EAN): 9783034894012
Издательство: Springer
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Цена: 13974.00 р.
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Описание: This volume contains the proceedings of the International Workshop on Operator Theory and Applications held at the University of Algarve in Faro, Portugal, September 12-15, in the year 2000. The main topics of the conference were !> Factorization Theory; !> Operator Theoretical Methods in Diffraction Theory;

Non-Oscillation Domains of Differential Equations with Two Parameters

Автор: Angelo B. Mingarelli; S. Gotskalk Halvorsen
Название: Non-Oscillation Domains of Differential Equations with Two Parameters
ISBN: 3540500782 ISBN-13(EAN): 9783540500780
Издательство: Springer
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Цена: 3492.00 р.
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Описание: Offers an introduction to single linear differential equations (systems) with two parameters and extensions to difference equations and Stieltjes integral equations. This book is suitable for graduate students and researchers.

Asymptotic and Numerical Methods for Partial Differential Equations with Critical Parameters

Автор: H.G. Kaper; Gail W. Pieper; Marc Garbey
Название: Asymptotic and Numerical Methods for Partial Differential Equations with Critical Parameters
ISBN: 0792320611 ISBN-13(EAN): 9780792320616
Издательство: Springer
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Цена: 41647.00 р.
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Описание: A record of the workshop on asymptotic-induced numerical methods for partial differential equations, critical parameters and domain decomposition, held at Beaune, France. The book discusses new computational methods, recent algorithm developments and techniques in mathematical modelling.

Bifurcation without Parameters

Автор: Stefan Liebscher
Название: Bifurcation without Parameters
ISBN: 3319107763 ISBN-13(EAN): 9783319107769
Издательство: Springer
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Цена: 4890.00 р.
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Описание: Targeted at mathematicians having at least a basic familiarity with classical bifurcation theory, this monograph provides a systematic classification and analysis of bifurcations without parameters in dynamical systems.

Interpolation, Schur Functions and Moment Problems II

Автор: Daniel Alpay; Bernd Kirstein
Название: Interpolation, Schur Functions and Moment Problems II
ISBN: 3034807422 ISBN-13(EAN): 9783034807425
Издательство: Springer
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Цена: 13974.00 р.
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Описание: The origins of Schur analysis lie in a 1917 article by Issai Schur in which he constructed a numerical sequence to correspond to a holomorphic contractive function on the unit disk.


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