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Generalized locally toeplitz sequences = theory and applications.. Volume I /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Generalized locally toeplitz sequences/ by Carlo Garoni, Stefano Serra-Capizzano.
Reminder of title:	theory and applications.
Author:	Garoni, Carlo.
other author:	Serra-Capizzano, Stefano.
Published:	Cham :Springer International Publishing : : 2017.,
Description:	xi, 312 p. :ill., digital ; : 24 cm.;
Contained By:	Springer eBooks
Subject:	Toeplitz matrices. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-53679-8
ISBN:	9783319536798

Generalized locally toeplitz sequences = theory and applications.. Volume I /
Garoni, Carlo.

Generalized locally toeplitz sequencestheory and applications.Volume I /[electronic resource] :by Carlo Garoni, Stefano Serra-Capizzano. - Cham :Springer International Publishing :2017. - xi, 312 p. :ill., digital ;24 cm.

1 Introduction -- 2 Mathematical background -- 3 Singular value and eigenvalue distribution of a matrix-sequence -- 4 Spectral distribution of sequences of perturbed Hermitian matrices -- 5 Approximating classes of sequences -- 6 Toeplitz sequences -- 7 Locally Toeplitz sequences -- 8 Generalized locally Toeplitz sequences -- 9 Summary -- 10 Applications -- Future developments -- Solutions to the exercises.

Based on their research experience, the authors propose a reference textbook in two volumes on the theory of generalized locally Toeplitz sequences and their applications. This first volume focuses on the univariate version of the theory and the related applications in the unidimensional setting, while the second volume, which addresses the multivariate case, is mainly devoted to concrete PDE applications. This book systematically develops the theory of generalized locally Toeplitz (GLT) sequences and presents some of its main applications, with a particular focus on the numerical discretization of differential equations (DEs) It is the first book to address the relatively new field of GLT sequences, which occur in numerous scientific applications and are especially dominant in the context of DE discretizations. Written for applied mathematicians, engineers, physicists, and scientists who (perhaps unknowingly) encounter GLT sequences in their research, it is also of interest to those working in the fields of Fourier and functional analysis, spectral analysis of DE discretization matrices, matrix analysis, measure and operator theory, numerical analysis and linear algebra. Further, it can be used as a textbook for a graduate or advanced undergraduate course in numerical analysis.

ISBN: 9783319536798

Standard No.: 10.1007/978-3-319-53679-8doiSubjects--Topical Terms:

528661
Toeplitz matrices.

LC Class. No.: QA188

Dewey Class. No.: 512.9434

Generalized locally toeplitz sequences = theory and applications.. Volume I /
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505 0 $a 1 Introduction -- 2 Mathematical background -- 3 Singular value and eigenvalue distribution of a matrix-sequence -- 4 Spectral distribution of sequences of perturbed Hermitian matrices -- 5 Approximating classes of sequences -- 6 Toeplitz sequences -- 7 Locally Toeplitz sequences -- 8 Generalized locally Toeplitz sequences -- 9 Summary -- 10 Applications -- Future developments -- Solutions to the exercises.
520 $a Based on their research experience, the authors propose a reference textbook in two volumes on the theory of generalized locally Toeplitz sequences and their applications. This first volume focuses on the univariate version of the theory and the related applications in the unidimensional setting, while the second volume, which addresses the multivariate case, is mainly devoted to concrete PDE applications. This book systematically develops the theory of generalized locally Toeplitz (GLT) sequences and presents some of its main applications, with a particular focus on the numerical discretization of differential equations (DEs) It is the first book to address the relatively new field of GLT sequences, which occur in numerous scientific applications and are especially dominant in the context of DE discretizations. Written for applied mathematicians, engineers, physicists, and scientists who (perhaps unknowingly) encounter GLT sequences in their research, it is also of interest to those working in the fields of Fourier and functional analysis, spectral analysis of DE discretization matrices, matrix analysis, measure and operator theory, numerical analysis and linear algebra. Further, it can be used as a textbook for a graduate or advanced undergraduate course in numerical analysis.
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