MARC Record from harvard_bibliographic_metadata

LEADER: 02948nam a22004695a 4500
001 013840129-2
005 20131206201513.0
008 121227s1999 xxu| s ||0| 0|eng d
020 $a9781461214267
020 $a9781461214267
020 $a9781461271390
024 7 $a10.1007/978-1-4612-1426-7$2doi
035 $a(Springer)9781461214267
040 $aSpringer
050 4 $aQA611-614.97
072 7 $aPBP$2bicssc
072 7 $aMAT038000$2bisacsh
082 04 $a514$223
100 1 $aBöttcher, Albrecht,$eauthor.
245 10 $aIntroduction to Large Truncated Toeplitz Matrices /$cby Albrecht Böttcher, Bernd Silbermann.
264 1 $aNew York, NY :$bSpringer New York :$bImprint: Springer,$c1999.
300 $aXI, 259 p.$bonline resource.
336 $atext$btxt$2rdacontent
337 $acomputer$bc$2rdamedia
338 $aonline resource$bcr$2rdacarrier
347 $atext file$bPDF$2rda
490 1 $aUniversitext,$x0172-5939
505 0 $aPreface -- Infinite matrices -- Finite section method and stability -- Norms of inverses and pseudospectra -- Moore-Penrose inverses and singular values -- Determinants and eigenvalues -- Block Toeplitz matrices -- Banach space phenomena -- Bibliography and Index.
520 $aIntroduction to Large Truncated Toeplitz Matrices is a text on the application of functional analysis and operator theory to some concrete asymptotic problems of linear algebra. The book contains results on the stability of projection methods, deals with asymptotic inverses and Moore-Penrose inversion of large Toeplitz matrices, and embarks on the asymptotic behavoir of the norms of inverses, the pseudospectra, the singular values, and the eigenvalues of large Toeplitz matrices. The approach is heavily based on Banach algebra techniques and nicely demonstrates the usefulness of C*-algebras and local principles in numerical analysis. The book includes classical topics as well as results obtained and methods developed only in the last few years. Though employing modern tools, the exposition is elementary and aims at pointing out the mathematical background behind some interesting phenomena one encounters when working with large Toeplitz matrices. The text is accessible to readers with basic knowledge in functional analysis. It is addressed to graduate students, teachers, and researchers with some inclination to concrete operator theory and should be of interest to everyone who has to deal with infinite matrices (Toeplitz or not) and their large truncations.
650 20 $aTopology.
650 10 $aMathematics.
650 0 $aGlobal analysis (Mathematics)
650 0 $aMathematics.
650 0 $aMatrix theory.
650 0 $aTopology.
650 24 $aLinear and Multilinear Algebras, Matrix Theory.
650 24 $aAnalysis.
700 1 $aSilbermann, Bernd,$eauthor.
776 08 $iPrinted edition:$z9781461271390
830 0 $aUniversitext.
988 $a20131119
906 $0VEN