國立高雄大學圖資館 |

Language: English

Back

Generalized locally toeplitz sequenc...

Garoni, Carlo.

Generalized locally toeplitz sequencestheory and applications.Volume I /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Generalized locally toeplitz sequencesby 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$q(electronic bk.)

Generalized locally toeplitz sequencestheory 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$q(electronic bk.)

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

245432
Toeplitz matrices.

LC Class. No.: QA188

Dewey Class. No.: 512.9434

Generalized locally toeplitz sequencestheory and applications.Volume I /
LDR:02722nmm a2200325 a 4500 001 517850
003 DE-He213
005 20180117143514.0
006 m d
007 cr nn 008maaau
008 180316s2017 gw s 0 eng d
020 $a 9783319536798$q(electronic bk.)
020 $a 9783319536781$q(paper)
024 7 $a 10.1007/978-3-319-53679-8 $2 doi
035 $a 978-3-319-53679-8
040 $a GP $c GP
041 0 $a eng
050 4 $a QA188
072 7 $a PBKS $2 bicssc
072 7 $a MAT021000 $2 bisacsh
072 7 $a MAT006000 $2 bisacsh
082 0 4 $a 512.9434 $2 23
090 $a QA188 $b .G237 2017
100 1 $a Garoni, Carlo. $3 787691
245 1 0 $a Generalized locally toeplitz sequences $h [electronic resource] : $b theory and applications. $n Volume I / $c by Carlo Garoni, Stefano Serra-Capizzano.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2017.
300 $a xi, 312 p. : $b ill., digital ; $c 24 cm.
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.
650 0 $a Toeplitz matrices. $3 245432
650 1 4 $a Mathematics. $3 184409
650 2 4 $a Numerical Analysis. $3 275681
650 2 4 $a Linear and Multilinear Algebras, Matrix Theory. $3 274063
650 2 4 $a Partial Differential Equations. $3 274075
700 1 $a Serra-Capizzano, Stefano. $3 787692
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer eBooks
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-53679-8
950 $a Mathematics and Statistics (Springer-11649)