000 04368nam a22005895i 4500
001 978-3-319-53679-8
003 DE-He213
005 20210118152301.0
007 cr nn 008mamaa
008 170607s2017 gw | s |||| 0|eng d
020 _a9783319536798
_9978-3-319-53679-8
024 7 _a10.1007/978-3-319-53679-8
_2doi
050 4 _aQA297-299.4
072 7 _aPBKS
_2bicssc
072 7 _aMAT021000
_2bisacsh
072 7 _aPBKS
_2thema
082 0 4 _a518
_223
100 1 _aGaroni, Carlo.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aGeneralized Locally Toeplitz Sequences: Theory and Applications
_h[electronic resource] :
_bVolume I /
_cby Carlo Garoni, Stefano Serra-Capizzano.
250 _a1st ed. 2017.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2017.
300 _aXI, 312 p. 16 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
505 0 _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 .
520 _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.
650 0 _aNumerical analysis.
650 0 _aMatrix theory.
650 0 _aAlgebra.
650 0 _aPartial differential equations.
650 1 4 _aNumerical Analysis.
_0http://scigraph.springernature.com/things/product-market-codes/M14050
650 2 4 _aLinear and Multilinear Algebras, Matrix Theory.
_0http://scigraph.springernature.com/things/product-market-codes/M11094
650 2 4 _aPartial Differential Equations.
_0http://scigraph.springernature.com/things/product-market-codes/M12155
700 1 _aSerra-Capizzano, Stefano.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783319536781
776 0 8 _iPrinted edition:
_z9783319536804
776 0 8 _iPrinted edition:
_z9783319852140
856 4 0 _uhttps://doi.org/10.1007/978-3-319-53679-8
912 _aZDB-2-SMA
999 _c453022
_d453022
942 _cEB
506 _aAvailable to subscribing member institutions only. Доступно лише організаціям членам підписки.
506 _fOnline access from local network of NaUOA.
506 _fOnline access with authorization at https://link.springer.com/
506 _fОнлайн-доступ з локальної мережі НаУОА.
506 _fОнлайн доступ з авторизацією на https://link.springer.com/