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Spectral Approximation of Linear Operators

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Release : 2011-05-26
Genre : Mathematics
Kind : eBook
Book Rating : 992/5 ( reviews)

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Book Synopsis Spectral Approximation of Linear Operators by : Francoise Chatelin

Download or read book Spectral Approximation of Linear Operators written by Francoise Chatelin. This book was released on 2011-05-26. Available in PDF, EPUB and Kindle. Book excerpt: Originally published: New York: Academic Press, 1983.

Spectral Approximation for Linear Operators and Applications

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Release : 2014
Genre :
Kind : eBook
Book Rating : /5 ( reviews)

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Book Synopsis Spectral Approximation for Linear Operators and Applications by :

Download or read book Spectral Approximation for Linear Operators and Applications written by . This book was released on 2014. Available in PDF, EPUB and Kindle. Book excerpt:

Spectral Theory and Applications of Linear Operators and Block Operator Matrices

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Release : 2015-07-04
Genre : Science
Kind : eBook
Book Rating : 661/5 ( reviews)

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Book Synopsis Spectral Theory and Applications of Linear Operators and Block Operator Matrices by : Aref Jeribi

Download or read book Spectral Theory and Applications of Linear Operators and Block Operator Matrices written by Aref Jeribi. This book was released on 2015-07-04. Available in PDF, EPUB and Kindle. Book excerpt: Examining recent mathematical developments in the study of Fredholm operators, spectral theory and block operator matrices, with a rigorous treatment of classical Riesz theory of polynomially-compact operators, this volume covers both abstract and applied developments in the study of spectral theory. These topics are intimately related to the stability of underlying physical systems and play a crucial role in many branches of mathematics as well as numerous interdisciplinary applications. By studying classical Riesz theory of polynomially compact operators in order to establish the existence results of the second kind operator equations, this volume will assist the reader working to describe the spectrum, multiplicities and localization of the eigenvalues of polynomially-compact operators.

Spectral Approximation Theory for Bounded Linear Operators

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Release : 1972
Genre : Approximation theory
Kind : eBook
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Book Synopsis Spectral Approximation Theory for Bounded Linear Operators by : Wen-so Lo

Download or read book Spectral Approximation Theory for Bounded Linear Operators written by Wen-so Lo. This book was released on 1972. Available in PDF, EPUB and Kindle. Book excerpt: In this thesis we examine the approximation theory of the eigenvalue problem of bounded linear operators defined on a Banach space, and its applications to integral and differential equations. Special cases include the degenerate kernel method, projection method, collocation method, the Galerkin method, the method of moments, and the generalized Ritz method for solving integral or differential equations. Given a bounded linear operator, a sequence of bounded linear operator approximations is assumed to converge to it in the operator norm. We examine, among other things, the perturbation of the spectrum of the given operator; criteria for the existence and convergence of approximate eigenvectors and generalized eigenvectors; relations between the dimensions of the eigenmanifolds and generalized eigenmanifolds of the operator and those of the approximate operators.

Spectral Theory of Linear Operators and Spectral Systems in Banach Algebras

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Release : 2013-11-11
Genre : Mathematics
Kind : eBook
Book Rating : 889/5 ( reviews)

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Book Synopsis Spectral Theory of Linear Operators and Spectral Systems in Banach Algebras by : Vladimir Müller

Download or read book Spectral Theory of Linear Operators and Spectral Systems in Banach Algebras written by Vladimir Müller. This book was released on 2013-11-11. Available in PDF, EPUB and Kindle. Book excerpt: This book is dedicated to the spectral theory of linear operators on Banach spaces and of elements in Banach algebras. It presents a survey of results concerning various types of spectra, both of single and n-tuples of elements. Typical examples are the one-sided spectra, the approximate point, essential, local and Taylor spectrum, and their variants. Many results appear here for the first time in a monograph.

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