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010   $a3-319-53679-6
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100   $a20170607d2017      u|         0
101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aGeneralized Locally Toeplitz Sequences: Theory and Applications $eVolume I /$fby Carlo Garoni, Stefano Serra-Capizzano
205   $a1st ed. 2017.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2017.
215   $a1 online resource (XI, 312 p. 16 illus. in color.) 
311   $a3-319-53678-8 
320   $aIncludes bibliographical references and index.
327   $a1 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 .
330   $aBased 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.
606   $aNumerical analysis
606   $aMatrix theory
606   $aAlgebra
606   $aPartial differential equations
606   $aNumerical Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M14050
606   $aLinear and Multilinear Algebras, Matrix Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M11094
606   $aPartial Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12155
615  0$aNumerical analysis.
615  0$aMatrix theory.
615  0$aAlgebra.
615  0$aPartial differential equations.
615 14$aNumerical Analysis.
615 24$aLinear and Multilinear Algebras, Matrix Theory.
615 24$aPartial Differential Equations.
676   $a518
700   $aGaroni$b Carlo$4aut$4http://id.loc.gov/vocabulary/relators/aut$0767334
702   $aSerra-Capizzano$b Stefano$4aut$4http://id.loc.gov/vocabulary/relators/aut
906   $aBOOK
912   $a9910254280003321
996   $aGeneralized Locally Toeplitz Sequences: Theory and Applications$91935692
997   $aUNINA