A Method for Determining Eigenvalues
Henry F. Kaiser · Journal of the Society for Industrial and Applied Mathematics · 1964
Previous article A Method for Determining EigenvaluesHenry F. KaiserHenry F. Kaiserhttps://doi.org/10.1137/0112023PDFPDF PLUSBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] R. A. Brooker and , F. H. Sumner, The method of Lanczos for calculating the characteristic roots and vectors of a real symmetric matrix, Proc. Inst. Elec. Engrs. B., 103 (1956), 114–119 MR0087217 Google Scholar[2] Wallace Givens, Numerical conputation of the characteristic values of a real symmetric matrix, Rep. ORNL 1574, Oak Ridge National Laboratory, Oak Ridge, Tenn., 1954vi+107 MR0063771 0055.35005 CrossrefGoogle Scholar[3] P. Horst, Matrix Algebra for Social Scientists, Holt, Rinehart and Winston, New York, 1963 0121.26103 Google Scholar[4] Alston S. Householder and , Friedrich L. Bauer, On certain methods for expanding the characteristic polynomial, Numer. Math., 1 (1959), 29–37 10.1007/BF01386370 MR0100962 0089.11802 CrossrefGoogle Scholar[5] Alston S. Householder, The theory of matrices in numerical analysis, Blaisdell Publishing Co. Ginn and Co. New York-Toronto-London, 1964xi+257 MR0175290 0161.12101 Google Scholar[6] C. G. J. Jacobi, Über ein leichtes Verfahren die in der Theorie der Säcularstörungen vorkommenden Gleichungen numerisch aufzulösen, J. Reine Angew. Math., 30 (1846), 51– CrossrefGoogle Scholar[7] H. F. Kaiser, A method for determining eigenvalues, Amer. Math. Soc. Notices, 10 (1963), 371– Google Scholar[8] J. M. Ortega, On Sturm sequences for tridiagonal matrices, J. Assoc. Comput. Mach., 7 (1960), 260–263 MR0115271 0208.18101 CrossrefISIGoogle Scholar[9] J. H. Wilkinson, The calculation of eigenvectors of codiagonal matrices, Comput. J., 1 (1958), 90– 10.1093/comjnl/1.2.90 0117.11001 CrossrefISIGoogle Scholar[10] J. H. Wilkinson, Householder`s method for the solution of the algebraic eigenproblem., Comput. J., 3 (1960/1961), 23–27 10.1093/comjnl/3.1.23 MR0111131 0109.09103 CrossrefGoogle Scholar Previous article FiguresRelatedReferencesCited ByDetails Volume 12, Issue 1| 1964Journal of the Society for Industrial and Applied Mathematics1-248 History Submitted:20 September 1963Published online:13 July 2006 InformationCopyright © 1964 Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/0112023Article page range:pp. 238-248ISSN (print):0368-4245ISSN (online):2168-3484Publisher:Society for Industrial and Applied Mathematics