{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,6]],"date-time":"2024-09-06T23:22:44Z","timestamp":1725664964942},"publisher-location":"Berlin, Heidelberg","reference-count":11,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783540625988"},{"type":"electronic","value":"9783540683261"}],"license":[{"start":{"date-parts":[[1997,1,1]],"date-time":"1997-01-01T00:00:00Z","timestamp":852076800000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[1997]]},"DOI":"10.1007\/3-540-62598-4_86","type":"book-chapter","created":{"date-parts":[[2012,2,26]],"date-time":"2012-02-26T17:44:22Z","timestamp":1330278262000},"page":"126-133","update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["The use of discrete sine transform in computations with Toeplitz matrices"],"prefix":"10.1007","author":[{"given":"Fabio","family":"Di Benedetto","sequence":"first","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2005,6,3]]},"reference":[{"key":"15_CR1","doi-asserted-by":"crossref","first-page":"99","DOI":"10.1016\/0024-3795(83)90009-5","volume":"52","author":"D. Bini","year":"1983","unstructured":"Bini, D., Capovani, M.: Spectral and computational properties of band symmetric Toeplitz matrices. Linear Algebra Appl. 52 (1983) 99\u2013126.","journal-title":"Linear Algebra Appl."},{"key":"15_CR2","doi-asserted-by":"crossref","first-page":"628","DOI":"10.1137\/S0895479893254269","volume":"16","author":"E. Boman","year":"1995","unstructured":"Boman, E., Koltracht, I.: Fast transform based preconditioners for Toeplitz equations. SIAM J. Matrix Anal. Appl. 16 (1995) 628\u2013645.","journal-title":"SIAM J. Matrix Anal. Appl."},{"key":"15_CR3","doi-asserted-by":"crossref","first-page":"1740","DOI":"10.1137\/0730089","volume":"30","author":"R. H. Chan","year":"1993","unstructured":"Chan, R. H., Nagy, J. G., Plemmons, R. J.: FFT-based preconditioners for Toeplitz-block least squares problems. SIAM J. Numer. Anal. 30 (1993) 1740\u20131768.","journal-title":"SIAM J. Numer. Anal."},{"key":"15_CR4","doi-asserted-by":"crossref","first-page":"237","DOI":"10.1016\/0024-3795(94)00049-2","volume":"232","author":"R. H. Chan","year":"1996","unstructured":"Chan, R. H., Ng, M. K., Wong, C. K.: Sine transform based preconditioners for symmetric Toeplitz systems. Linear Algebra Appl. 232 (1996) 237\u2013260.","journal-title":"Linear Algebra Appl."},{"key":"15_CR5","unstructured":"Di Benedetto, F.: Solution of nonsymmetric Toeplitz systems by preconditioning of the normal equations. Preprint # 268, Dipartimento di Matematica, Universit\u00e0 di Genova, 1994."},{"key":"15_CR6","doi-asserted-by":"crossref","unstructured":"Di Benedetto, F.: Iterative solution of Toeplitz systems by preconditioning with the discrete sine transform. Proceedings of SPIE International Symposium, San Diego, 1995.","DOI":"10.1117\/12.211407"},{"key":"15_CR7","unstructured":"Di Benedetto, F.: Generalized updating problems and computation of the eigen-values of rational Toeplitz matrices. (to appear)"},{"key":"15_CR8","doi-asserted-by":"crossref","first-page":"227","DOI":"10.1090\/S0025-5718-1980-0551300-1","volume":"34","author":"B. W. Dickinson","year":"1980","unstructured":"Dickinson, B. W.: Solution of linear equations with rational Toeplitz matrices. Math. Comp. 34 (1980) 227\u2013233.","journal-title":"Math. Comp."},{"key":"15_CR9","doi-asserted-by":"crossref","first-page":"117","DOI":"10.1016\/0024-3795(88)90025-0","volume":"106","author":"L. Mertens","year":"1988","unstructured":"Mertens, L., Van de Vel, H.: A special class of structured matrices constructed with the Kronecker product and its use for difference equations. Linear Algebra Appl. 106 (1988) 117\u2013147.","journal-title":"Linear Algebra Appl."},{"key":"15_CR10","doi-asserted-by":"crossref","first-page":"135","DOI":"10.1007\/BF01740550","volume":"36","author":"S. Serra","year":"1996","unstructured":"Serra, S.: On the extreme spectral properties of Toepltz matrices generated by L\n1 functions with several minima\/maxima. BIT 36 (1996) 135\u2013143.","journal-title":"BIT"},{"key":"15_CR11","unstructured":"Miranda, M., Tilli, P.: On the asymptotic spectrum of Hermitian block Toeplitz matrices generated by matrix-valued functions. (to appear)"}],"container-title":["Lecture Notes in Computer Science","Numerical Analysis and Its Applications"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/3-540-62598-4_86","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,19]],"date-time":"2019-05-19T08:34:10Z","timestamp":1558254850000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/3-540-62598-4_86"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1997]]},"ISBN":["9783540625988","9783540683261"],"references-count":11,"URL":"https:\/\/doi.org\/10.1007\/3-540-62598-4_86","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[1997]]},"assertion":[{"value":"3 June 2005","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}}]}}