On Lanczos’ Algorithm for Tridiagonalizing Matrices
Robert L. Causey, Robert Todd Gregory · SIAM Review · 1961
Previous article Next article On Lanczos’ Algorithm for Tridiagonalizing MatricesR. L. Causey and R. T. GregoryR. L. Causey and R. T. Gregoryhttps://doi.org/10.1137/1003063PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] Cornelius Lanczos, An iteration method for the solution of the eigenvalue problem of linear differential and integral operators, J. Research Nat. Bur. Standards, 45 (1950), 255–282 MR0042791 CrossrefISIGoogle Scholar[2] Robert T. Gregory, Results using Lanczos' method for finding eigenvalues of arbitrary matrices, J. Soc. Indust. Appl. Math., 6 (1958), 182–188 10.1137/0106011 MR0103584 0085.10805 LinkISIGoogle Scholar[3] J. H. Wilkinson, The calculation of eigenvectors by the method of Lanczos, Comput. J, 1 (1958), 148–152 10.1093/comjnl/1.3.148 MR0102915 0117.11002 CrossrefISIGoogle Scholar[4] Heinz Rutishauser, Beiträge zur Kenntnis des Biorthogonalisierungs-Algorithmus von Lanczos, Z. Angew. Math. Physik, 4 (1953), 35–56 10.1007/BF02075304 MR0055307 0050.01008 CrossrefGoogle Scholar Previous article Next article FiguresRelatedReferencesCited ByDetails Lanczos Methods for the Solution of Nonsymmetric Systems of Linear EquationsWayne JoubertSIAM Journal on Matrix Analysis and Applications, Vol. 13, No. 3 | 17 July 2006AbstractPDF (2194 KB)Some History of the Conjugate Gradient and Lanczos Algorithms: 1948–1976Gene H. Golub and Dianne P. O’LearySIAM Review, Vol. 31, No. 1 | 2 August 2006AbstractPDF (6558 KB)On the similarity transformation to tridiagonal formLinear and Multilinear Algebra, Vol. 12, No. 1 | 30 May 2007 Cross Ref On Lanczos' algorithm for tri-diagonalizationHiroshima Mathematical Journal, Vol. 32, No. 2 | 1 Jan 1968 Cross Ref Volume 3, Issue 4| 1961SIAM Review293-368 History Submitted:20 July 1961Published online:18 July 2006 InformationCopyright © 1961 Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/1003063Article page range:pp. 322-328ISSN (print):0036-1445ISSN (online):1095-7200Publisher:Society for Industrial and Applied Mathematics