Record ID | marc_columbia/Columbia-extract-20221130-005.mrc:330719518:2175 |
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LEADER: 02175fam a2200361 a 4500
001 2258665
005 20220616003529.0
008 980514t19991999nyua b 001 0 eng
010 $a 98009923
020 $a0387985700 (alk. paper)
035 $a(OCoLC)39157434
035 $a(OCoLC)ocm39157434
035 $9ANZ7617CU
035 $a(NNC)2258665
035 $a2258665
040 $aDLC$cDLC$dDLC$dOrLoB-B
050 00 $aQA188$b.B67 1999
082 00 $a512.9/434$221
100 1 $aBöttcher, Albrecht.$0http://id.loc.gov/authorities/names/n88195974
245 10 $aIntroduction to large truncated Toeplitz matrices /$cAlbrecht Böttcher, Bernd Silbermann.
260 $aNew York :$bSpringer,$c[1999], ©1999.
300 $axi, 258 pages :$billustrations ;$c24 cm.
336 $atext$btxt$2rdacontent
337 $aunmediated$bn$2rdamedia
490 1 $aUniversitext
504 $aIncludes bibliographical references (p. [243]-253) and index.
505 00 $g1.$tInfinite Matrices --$g2.$tFinite Section Method and Stability --$g3.$tNorms of Inverses and Pseudospectra --$g4.$tMoore-Penrose Inverses and Singular Values --$g5.$tDeterminants and Eigenvalues --$g6.$tBlock Toeplitz Matrices --$g7.$tBanach Space Phenomena.
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 behavior of the norms of inverses, the pseudospectra, the singular values, and the eigenvalues of large Toeplitz matrices.
520 8 $aThe approach is heavily based on Banach algebra techniques and nicely demonstrates the usefulness of C-algebras and local principles in numerical analysis.
650 0 $aToeplitz matrices.$0http://id.loc.gov/authorities/subjects/sh85135782
700 1 $aSilbermann, Bernd,$d1941-$0http://id.loc.gov/authorities/names/n80011110
830 0 $aUniversitext.$0http://id.loc.gov/authorities/names/n42025686
852 00 $bmat$hQA188$i.B67 1999