Generalized Locally Toeplitz Sequences: Theory and Applications Volume I /

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, wh...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριοι συγγραφείς: Garoni, Carlo (Συγγραφέας), Serra-Capizzano, Stefano (Συγγραφέας)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2017.
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
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020 |a 9783319536798  |9 978-3-319-53679-8 
024 7 |a 10.1007/978-3-319-53679-8  |2 doi 
040 |d GrThAP 
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100 1 |a Garoni, Carlo.  |e author. 
245 1 0 |a Generalized Locally Toeplitz Sequences: Theory and Applications  |h [electronic resource] :  |b Volume I /  |c by Carlo Garoni, Stefano Serra-Capizzano. 
264 1 |a Cham :  |b Springer International Publishing :  |b Imprint: Springer,  |c 2017. 
300 |a XI, 312 p. 16 illus. in color.  |b online resource. 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
347 |a text file  |b PDF  |2 rda 
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 Mathematics. 
650 0 |a Matrix theory. 
650 0 |a Algebra. 
650 0 |a Partial differential equations. 
650 0 |a Numerical analysis. 
650 1 4 |a Mathematics. 
650 2 4 |a Numerical Analysis. 
650 2 4 |a Linear and Multilinear Algebras, Matrix Theory. 
650 2 4 |a Partial Differential Equations. 
700 1 |a Serra-Capizzano, Stefano.  |e author. 
710 2 |a SpringerLink (Online service) 
773 0 |t Springer eBooks 
776 0 8 |i Printed edition:  |z 9783319536781 
856 4 0 |u http://dx.doi.org/10.1007/978-3-319-53679-8  |z Full Text via HEAL-Link 
912 |a ZDB-2-SMA 
950 |a Mathematics and Statistics (Springer-11649)