Algebraic Multiplicity Of Eigenvalues Of Linear Operators
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Algebraic Multiplicity Of Eigenvalues Of Linear Operators
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Author : Julián López-Gómez
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-06-22
Algebraic Multiplicity Of Eigenvalues Of Linear Operators written by Julián López-Gómez 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 2007-06-22 with Mathematics categories.
This book brings together all available results about the theory of algebraic multiplicities. It first offers a classic course on finite-dimensional spectral theory and then presents the most general results available about the existence and uniqueness of algebraic multiplicities for real non-analytic operator matrices and families. Coverage next transfers these results from linear to nonlinear analysis.
Algebraic Multiplicity Of Eigenvalues Of Linear Operators
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Author : Julián López-Gómez
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-08-09
Algebraic Multiplicity Of Eigenvalues Of Linear Operators written by Julián López-Gómez 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 2007-08-09 with Mathematics categories.
This book brings together all available results about the theory of algebraic multiplicities. It first offers a classic course on finite-dimensional spectral theory and then presents the most general results available about the existence and uniqueness of algebraic multiplicities for real non-analytic operator matrices and families. Coverage next transfers these results from linear to nonlinear analysis.
Linear Algebra I
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Author : Frederick P. Greenleaf
language : en
Publisher: American Mathematical Soc.
Release Date : 2019-01-30
Linear Algebra I written by Frederick P. Greenleaf and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-01-30 with Algebras, Linear categories.
This book is the first of two volumes on linear algebra for graduate students in mathematics, the sciences, and economics, who have: a prior undergraduate course in the subject; a basic understanding of matrix algebra; and some proficiency with mathematical proofs. Proofs are emphasized and the overall objective is to understand the structure of linear operators as the key to solving problems in which they arise. This first volume re-examines basic notions of linear algebra: vector spaces, linear operators, duality, determinants, diagonalization, and inner product spaces, giving an overview of linear algebra with sufficient mathematical precision for advanced use of the subject. This book provides a nice and varied selection of exercises; examples are well-crafted and provide a clear understanding of the methods involved. New notions are well motivated and interdisciplinary connections are often provided, to give a more intuitive and complete vision of linear algebra. Computational aspects are fully covered, but the study of linear operators remains the focus of study in this book.
A Short Introduction To Perturbation Theory For Linear Operators
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Author : Tosio Kato
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
A Short Introduction To 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 2012-12-06 with Mathematics categories.
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.
Eigenvalues Of Matrices
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Author : Françoise Chaitin-Chatelin
language : en
Publisher:
Release Date : 1993-08-31
Eigenvalues Of Matrices written by Françoise Chaitin-Chatelin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-08-31 with Mathematics categories.
An introduction to the field which represents in matrix notation the fundamental aspects of the theory of linear operators in finite dimensions. Exercises of the appropriate level of difficulty are integrated throughout the text, many with solutions.
Eigenvalues Of Matrices
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Author : Francoise Chatelin
language : en
Publisher: SIAM
Release Date : 2012-01-01
Eigenvalues Of Matrices 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 2012-01-01 with Eigenvalues categories.
This classic textbook provides a modern and complete guide to the calculation of eigenvalues of matrices, written at an accessible level that presents in matrix notation the fundamental aspects of the spectral theory of linear operators in finite dimension. Unique features of Eigenvalues of matrices, revised edition are the convergence of eigensolvers serving as the basis of the notion of the gap between invariant subspaces, its coverage of the impact of the high nonnormality of the matrix on its eigenvalues, and the comprehensive nature of the material that moves beyond mathematical technicalities to the essential mean carried out by matrix eigenvalues.
Factorization Of Matrix And Operator Functions The State Space Method
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Author : Harm Bart
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-12-20
Factorization Of Matrix And Operator Functions The State Space Method written by Harm Bart 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 2007-12-20 with Mathematics categories.
This book delineates the various types of factorization problems for matrix and operator functions. The problems originate from, or are motivated by, the theory of non-selfadjoint operators, the theory of matrix polynomials, mathematical systems and control theory, the theory of Riccati equations, inversion of convolution operators, and the theory of job scheduling in operations research. The book presents a geometric principle of factorization which has its origins in the state space theory of linear input-output systems and in the theory of characteristic operator functions.
Bounds For Determinants Of Linear Operators And Their Applications
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Author : Michael Gil'
language : en
Publisher: CRC Press
Release Date : 2017-03-03
Bounds For Determinants Of Linear Operators And Their Applications written by Michael Gil' and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-03-03 with Mathematics categories.
This book deals with the determinants of linear operators in Euclidean, Hilbert and Banach spaces. Determinants of operators give us an important tool for solving linear equations and invertibility conditions for linear operators, enable us to describe the spectra, to evaluate the multiplicities of eigenvalues, etc. We derive upper and lower bounds, and perturbation results for determinants, and discuss applications of our theoretical results to spectrum perturbations, matrix equations, two parameter eigenvalue problems, as well as to differential, difference and functional-differential equations.
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 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.