Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Perturbation Theory For Linear Operators PDF full book. Access full book title Perturbation Theory For Linear Operators.
| Author | : Tosio Kato |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 610 |
| Release | : 2013-06-29 |
| Genre | : Mathematics |
| ISBN | : 3662126788 |
| Author | : Tosio Kato |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 172 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 146125700X |
This book is a slightly expanded reproduction of the first two chapters (plus Introduction) of my book Perturbation Theory tor Linear Operators, Grundlehren der mathematischen Wissenschaften 132, Springer 1980. Ever since, or even before, the publication of the latter, there have been suggestions about separating the first two chapters into a single volume. I have now agreed to follow the suggestions, hoping that it will make the book available to a wider audience. Those two chapters were intended from the outset to be a comprehen sive presentation of those parts of perturbation theory that can be treated without the topological complications of infinite-dimensional spaces. In fact, many essential and. even advanced results in the theory have non trivial contents in finite-dimensional spaces, although one should not forget that some parts of the theory, such as those pertaining to scatter ing. are peculiar to infinite dimensions. I hope that this book may also be used as an introduction to linear algebra. I believe that the analytic approach based on a systematic use of complex functions, by way of the resolvent theory, must have a strong appeal to students of analysis or applied mathematics, who are usually familiar with such analytic tools.
| Author | : |
| Publisher | : |
| Total Pages | : 619 |
| Release | : 1976 |
| Genre | : Linear operators |
| ISBN | : |
| Author | : Tosio Kato |
| Publisher | : Springer |
| Total Pages | : 619 |
| Release | : 1995-01-01 |
| Genre | : Linear operators. |
| ISBN | : 9780387586618 |
| Author | : Aref Jeribi |
| Publisher | : Springer Nature |
| Total Pages | : 509 |
| Release | : 2021-07-28 |
| Genre | : Mathematics |
| ISBN | : 981162528X |
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.
| Author | : Francoise Chatelin |
| Publisher | : SIAM |
| Total Pages | : 482 |
| Release | : 2011-05-26 |
| Genre | : Mathematics |
| ISBN | : 0898719992 |
Originally published: New York: Academic Press, 1983.
| Author | : H. Baumgärtel |
| Publisher | : Walter de Gruyter GmbH & Co KG |
| Total Pages | : 428 |
| Release | : 1984-12-31 |
| Genre | : Mathematics |
| ISBN | : 3112721810 |
No detailed description available for "Analytic Perturbation Theory for Matrices and Operators".
| Author | : Konstantin E. Avrachenkov |
| Publisher | : SIAM |
| Total Pages | : 384 |
| Release | : 2013-12-11 |
| Genre | : Mathematics |
| ISBN | : 1611973147 |
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.
| Author | : M. Konstantinov |
| Publisher | : Gulf Professional Publishing |
| Total Pages | : 443 |
| Release | : 2003-05-20 |
| Genre | : Mathematics |
| ISBN | : 0080538673 |
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
| Author | : Seymour Goldberg |
| Publisher | : Courier Corporation |
| Total Pages | : 212 |
| Release | : 2006-01-01 |
| Genre | : Mathematics |
| ISBN | : 0486453316 |
This volume presents a systematic treatment of the theory of unbounded linear operators in normed linear spaces with applications to differential equations. Largely self-contained, it is suitable for advanced undergraduates and graduate students, and it only requires a familiarity with metric spaces and real variable theory. After introducing the elementary theory of normed linear spaces--particularly Hilbert space, which is used throughout the book--the author develops the basic theory of unbounded linear operators with normed linear spaces assumed complete, employing operators assumed closed only when needed. Other topics include strictly singular operators; operators with closed range; perturbation theory, including some of the main theorems that are later applied to ordinary differential operators; and the Dirichlet operator, in which the author outlines the interplay between functional analysis and "hard" classical analysis in the study of elliptic partial differential equations. In addition to its readable style, this book's appeal includes numerous examples and motivations for certain definitions and proofs. Moreover, it employs simple notation, eliminating the need to refer to a list of symbols.
