Read Books Online and Download eBooks, EPub, PDF, Mobi, Kindle, Text Full Free.
Download Perturbation Theory For Linear Operators full books in PDF, epub, and Kindle. Read online Perturbation Theory For Linear Operators ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!
Author : Tosio Kato
Publisher : Springer Science & Business Media
ISBN 13 : 3662126788
Total Pages : 610 pages
Book Rating : 4.6/5 (621 download)
Download or read book Perturbation theory for linear operators written by Tosio Kato and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 610 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Tosio Kato
Publisher : Springer Science & Business Media
ISBN 13 : 146125700X
Total Pages : 172 pages
Book Rating : 4.4/5 (612 download)
Download or read book A Short Introduction to Perturbation Theory for Linear Operators written by Tosio Kato and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Tosio Kato
Publisher : Springer
ISBN 13 : 9780387586618
Total Pages : 619 pages
Book Rating : 4.5/5 (866 download)
Download or read book Perturbation Theory for Linear Operators written by Tosio Kato and published by Springer. This book was released on 1995-01-01 with total page 619 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 619 pages
Book Rating : 4.:/5 (911 download)
Download or read book Perturbation Theory for Linear Operators written by and published by . This book was released on 1976 with total page 619 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Aref Jeribi
Publisher : Springer Nature
ISBN 13 : 981162528X
Total Pages : 509 pages
Book Rating : 4.8/5 (116 download)
Download or read book Perturbation Theory for Linear Operators written by Aref Jeribi and published by Springer Nature. This book was released on 2021-07-28 with total page 509 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
ISBN 13 : 0898719992
Total Pages : 482 pages
Book Rating : 4.8/5 (987 download)
Download or read book Spectral Approximation of Linear Operators written by Francoise Chatelin and published by SIAM. This book was released on 2011-05-26 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: Originally published: New York: Academic Press, 1983.
Author : Seymour Goldberg
Publisher : Courier Corporation
ISBN 13 : 0486453316
Total Pages : 212 pages
Book Rating : 4.4/5 (864 download)
Download or read book Unbounded Linear Operators written by Seymour Goldberg and published by Courier Corporation. This book was released on 2006-01-01 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Konstantin E. Avrachenkov
Publisher : SIAM
ISBN 13 : 1611973147
Total Pages : 384 pages
Book Rating : 4.6/5 (119 download)
Download or read book Analytic Perturbation Theory and Its Applications written by Konstantin E. Avrachenkov and published by SIAM. This book was released on 2013-12-11 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Baumgärtel
Publisher : Springer
ISBN 13 :
Total Pages : 446 pages
Book Rating : 4.:/5 (41 download)
Download or read book Analytic Perturbation Theory for Matrices and Operators written by Baumgärtel and published by Springer. This book was released on 1985 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : H. Baumgärtel
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3112721810
Total Pages : 428 pages
Book Rating : 4.1/5 (127 download)
Download or read book Analytic Perturbation Theory for Matrices and Operators written by H. Baumgärtel and published by Walter de Gruyter GmbH & Co KG. This book was released on 1984-12-31 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: No detailed description available for "Analytic Perturbation Theory for Matrices and Operators".
Author : Francisco M. Fernandez
Publisher : CRC Press
ISBN 13 : 1420039644
Total Pages : 288 pages
Book Rating : 4.4/5 (2 download)
Download or read book Introduction to Perturbation Theory in Quantum Mechanics written by Francisco M. Fernandez and published by CRC Press. This book was released on 2000-09-19 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: Perturbation theory is a powerful tool for solving a wide variety of problems in applied mathematics, a tool particularly useful in quantum mechanics and chemistry. Although most books on these subjects include a section offering an overview of perturbation theory, few, if any, take a practical approach that addresses its actual implementation
Author : Tailen Hsing
Publisher : John Wiley & Sons
ISBN 13 : 0470016914
Total Pages : 362 pages
Book Rating : 4.4/5 (7 download)
Download or read book Theoretical Foundations of Functional Data Analysis, with an Introduction to Linear Operators written by Tailen Hsing and published by John Wiley & Sons. This book was released on 2015-05-06 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: Theoretical Foundations of Functional Data Analysis, with an Introduction to Linear Operators provides a uniquely broad compendium of the key mathematical concepts and results that are relevant for the theoretical development of functional data analysis (FDA). The self–contained treatment of selected topics of functional analysis and operator theory includes reproducing kernel Hilbert spaces, singular value decomposition of compact operators on Hilbert spaces and perturbation theory for both self–adjoint and non self–adjoint operators. The probabilistic foundation for FDA is described from the perspective of random elements in Hilbert spaces as well as from the viewpoint of continuous time stochastic processes. Nonparametric estimation approaches including kernel and regularized smoothing are also introduced. These tools are then used to investigate the properties of estimators for the mean element, covariance operators, principal components, regression function and canonical correlations. A general treatment of canonical correlations in Hilbert spaces naturally leads to FDA formulations of factor analysis, regression, MANOVA and discriminant analysis. This book will provide a valuable reference for statisticians and other researchers interested in developing or understanding the mathematical aspects of FDA. It is also suitable for a graduate level special topics course.
Author : Joachim Weidmann
Publisher : Springer Science & Business Media
ISBN 13 : 1461260272
Total Pages : 413 pages
Book Rating : 4.4/5 (612 download)
Download or read book Linear Operators in Hilbert Spaces written by Joachim Weidmann and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 413 pages. Available in PDF, EPUB and Kindle. Book excerpt: This English edition is almost identical to the German original Lineare Operatoren in Hilbertriiumen, published by B. G. Teubner, Stuttgart in 1976. A few proofs have been simplified, some additional exercises have been included, and a small number of new results has been added (e.g., Theorem 11.11 and Theorem 11.23). In addition a great number of minor errors has been corrected. Frankfurt, January 1980 J. Weidmann vii Preface to the German edition The purpose of this book is to give an introduction to the theory of linear operators on Hilbert spaces and then to proceed to the interesting applica tions of differential operators to mathematical physics. Besides the usual introductory courses common to both mathematicians and physicists, only a fundamental knowledge of complex analysis and of ordinary differential equations is assumed. The most important results of Lebesgue integration theory, to the extent that they are used in this book, are compiled with complete proofs in Appendix A. I hope therefore that students from the fourth semester on will be able to read this book without major difficulty. However, it might also be of some interest and use to the teaching and research mathematician or physicist, since among other things it makes easily accessible several new results of the spectral theory of differential operators.
Author : M. Konstantinov
Publisher : Gulf Professional Publishing
ISBN 13 : 0080538673
Total Pages : 442 pages
Book Rating : 4.0/5 (85 download)
Download or read book Perturbation Theory for Matrix Equations written by M. Konstantinov and published by Gulf Professional Publishing. This book was released on 2003-05-20 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Franz Rellich
Publisher : CRC Press
ISBN 13 : 9780677006802
Total Pages : 144 pages
Book Rating : 4.0/5 (68 download)
Download or read book Perturbation Theory of Eigenvalue Problems written by Franz Rellich and published by CRC Press. This book was released on 1969 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : E. Brian Davies
Publisher : Cambridge University Press
ISBN 13 : 1139464337
Total Pages : 436 pages
Book Rating : 4.1/5 (394 download)
Download or read book Linear Operators and their Spectra written by E. Brian Davies and published by Cambridge University Press. This book was released on 2007-04-26 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: This wide ranging but self-contained account of the spectral theory of non-self-adjoint linear operators is ideal for postgraduate students and researchers, and contains many illustrative examples and exercises. Fredholm theory, Hilbert-Schmidt and trace class operators are discussed, as are one-parameter semigroups and perturbations of their generators. Two chapters are devoted to using these tools to analyze Markov semigroups. The text also provides a thorough account of the new theory of pseudospectra, and presents the recent analysis by the author and Barry Simon of the form of the pseudospectra at the boundary of the numerical range. This was a key ingredient in the determination of properties of the zeros of certain orthogonal polynomials on the unit circle. Finally, two methods, both very recent, for obtaining bounds on the eigenvalues of non-self-adjoint Schrodinger operators are described. The text concludes with a description of the surprising spectral properties of the non-self-adjoint harmonic oscillator.
Author : Yifeng Xue
Publisher : World Scientific
ISBN 13 : 9814383600
Total Pages : 305 pages
Book Rating : 4.8/5 (143 download)
Download or read book Stable Perturbations of Operators and Related Topics written by Yifeng Xue and published by World Scientific. This book was released on 2012 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a broad introduction to the generalized inverses, MooreOCoPenrose inverses, Drazin inverses and TOCoS outer generalized inverses and their perturbation analyses in the spaces of infinite-dimensional. This subject has many applications in operator theory, operator algebras, global analysis and approximation theory and so on. Stable Perturbations of Operators and Related Topics is self-contained and unified in presentation. It may be used as an advanced textbook by graduate students. It is also suitable for researchers as a reference. The proofs of statements and explanations in the book are detailed enough that interested readers can study it by themselves."
