Analytic Perturbation Theory For Matrices And Operators
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Analytic Perturbation Theory For Matrices And Operators
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Author : H. Baumgärtel
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 1984-12-31
Analytic Perturbation Theory For Matrices And Operators written by H. Baumgärtel and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984-12-31 with Mathematics categories.
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Analytic Perturbation Theory For Matrices And Operators
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Author : Baumgärtel
language : en
Publisher: Springer
Release Date : 1985
Analytic Perturbation Theory For Matrices And Operators written by Baumgärtel and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with Juvenile Nonfiction categories.
Analytic Perturbation Theory For Matrices And Operators
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Author : Hellmut Baumgärtel
language : en
Publisher: Birkhauser
Release Date : 1985-04
Analytic Perturbation Theory For Matrices And Operators written by Hellmut Baumgärtel and has been published by Birkhauser this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985-04 with Linear operators categories.
Analytic Perturbation Theory And Its Applications
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Author : Konstantin E. Avrachenkov
language : en
Publisher: SIAM
Release Date : 2013-12-11
Analytic Perturbation Theory And Its Applications written by Konstantin E. Avrachenkov and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-11 with Mathematics categories.
Mathematical models are often used to describe complex phenomena such as climate change dynamics, stock market fluctuations, and the Internet. These models typically depend on estimated values of key parameters that determine system behavior. Hence it is important to know what happens when these values are changed. The study of single-parameter deviations provides a natural starting point for this analysis in many special settings in the sciences, engineering, and economics. The difference between the actual and nominal values of the perturbation parameter is small but unknown, and it is important to understand the asymptotic behavior of the system as the perturbation tends to zero. This is particularly true in applications with an apparent discontinuity in the limiting behavior?the so-called singularly perturbed problems. Analytic Perturbation Theory and Its Applications includes a comprehensive treatment of analytic perturbations of matrices, linear operators, and polynomial systems, particularly the singular perturbation of inverses and generalized inverses. It also offers original applications in Markov chains, Markov decision processes, optimization, and applications to Google PageRank? and the Hamiltonian cycle problem as well as input retrieval in linear control systems and a problem section in every chapter to aid in course preparation.
Perturbation Theory For Matrix Equations
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Author : M. Konstantinov
language : en
Publisher: Gulf Professional Publishing
Release Date : 2003-05-20
Perturbation Theory For Matrix Equations written by M. Konstantinov and has been published by Gulf Professional Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-05-20 with Mathematics categories.
The book is devoted to the perturbation analysis of matrix equations. The importance of perturbation analysis is that it gives a way to estimate the influence of measurement and/or parametric errors in mathematical models together with the rounding errors done in the computational process. The perturbation bounds may further be incorporated in accuracy estimates for the solution computed in finite arithmetic. This is necessary for the development of reliable computational methods, algorithms and software from the viewpoint of modern numerical analysis. In this book a general perturbation theory for matrix algebraic equations is presented. Local and non-local perturbation bounds are derived for general types of matrix equations as well as for the most important equations arising in linear algebra and control theory. A large number of examples, tables and figures is included in order to illustrate the perturbation techniques and bounds. Key features: • The first book in this field • Can be used by a variety of specialists • Material is self-contained • Results can be used in the development of reliable computational algorithms • A large number of examples and graphical illustrations are given • Written by prominent specialists in the field
Perturbation Theory For Linear Operators
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Author : Aref Jeribi
language : en
Publisher: Springer Nature
Release Date : 2021-07-28
Perturbation Theory For Linear Operators written by Aref Jeribi and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-07-28 with Mathematics categories.
This book discusses the important aspects of spectral theory, in particular, the completeness of generalised eigenvectors, Riesz bases, semigroup theory, families of analytic operators, and Gribov operator acting in the Bargmann space. Recent mathematical developments of perturbed non-self-adjoint operators are discussed with the completeness of the space of generalized eigenvectors, bases on Hilbert and Banach spaces and asymptotic behavior of the eigenvalues of these operators. Most results in the book are motivated by physical problems, such as the perturbation method for sound radiation by a vibrating plate in a light fluid, Gribov operator in Bargmann space and other applications in mathematical physics and mechanics. This book is intended for students, researchers in the field of spectral theory of linear non self-adjoint operators, pure analysts and mathematicians.
Perturbation Methods In Matrix Analysis And Control
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Author : Mihail M. Konstantinov
language : en
Publisher: Nova Science Publishers
Release Date : 2020-04-06
Perturbation Methods In Matrix Analysis And Control written by Mihail M. Konstantinov and has been published by Nova Science Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-04-06 with Control theory categories.
Notation and preliminaries -- Perturbation problems -- Splitting operators and Lyapunov majorants -- Schur decomposition -- Hamiltonian matrices : basic relations -- Hamiltonian matrices : asymptotic analysis -- Hamiltonian matrices : non-local analysis -- Orthogonal canonical forms -- Feedback synthesis problem.
Perturbation Theory Of Eigenvalue Problems
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Author : Franz Rellich
language : en
Publisher: CRC Press
Release Date : 1969
Perturbation Theory Of Eigenvalue Problems written by Franz Rellich and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with Mathematics categories.
Spectral Approximation Of Linear Operators
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Author : Francoise Chatelin
language : en
Publisher: SIAM
Release Date : 2011-05-26
Spectral Approximation Of Linear Operators written by Francoise Chatelin and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-05-26 with Mathematics categories.
Originally published: New York: Academic Press, 1983.
Perturbation Theory For Linear Operators
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Author : Tosio Kato
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29
Perturbation Theory For Linear Operators written by Tosio Kato and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-29 with Mathematics categories.