Newton’s Method for the Characteristic Value Problem $Ax = \lambda Bx$
Louis B. Rall · Journal of the Society for Industrial and Applied Mathematics · 1961
Previous article Next article Newton’s Method for the Characteristic Value Problem $Ax = \lambda Bx$L. B. RallL. B. Rallhttps://doi.org/10.1137/0109025PDFPDF PLUSBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] Hirotugu Akaike, On a computation method for eigenvalue problems and its application to statistical analysis, Ann. Inst. Statist. Math., 10 (1958), 1–20 MR0098458 0084.01803 CrossrefISIGoogle Scholar[2] M. R. Hestenes and , W. Karush, Solutions of $Ax=\lambda Bx$, J. Research Nat. Bur. Standards, 47 (1951), 471–478 MR0049852 CrossrefISIGoogle Scholar[3] L. V. Kantorovich, Functional analysis and applied mathematics, NBS Rep. 1509, U. S. Department of Commerce National Bureau of Standards, Los Angeles, Calif., 1952ii+202 MR0053389 Google Scholar[4] Paul A. White, The computation of eigenvalues and eigenvectors of a matrix, J. Soc. Indust. Appl. Math., 6 (1958), 393–437 10.1137/0106027 MR0100350 0085.33303 LinkISIGoogle Scholar Previous article Next article FiguresRelatedReferencesCited ByDetails A Note on the Newoton Iteration for the Algebraic Eigenvalue ProblemSIAM Journal on Matrix Analysis and Applications, Vol. 9, No. 4 | 17 July 2006AbstractPDF (951 KB)Inverse Iteration, Ill-Conditioned Equations and Newton’s MethodSIAM Review, Vol. 21, No. 3 | 10 July 2006AbstractPDF (2192 KB) Volume 9, Issue 2| 1961Journal of the Society for Industrial and Applied Mathematics165-317 History Submitted:24 October 1960Published online:10 July 2006 InformationCopyright © 1961 Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/0109025Article page range:pp. 288-293ISSN (print):0368-4245ISSN (online):2168-3484Publisher:Society for Industrial and Applied Mathematics