On Acceleration and Matrix Deflation Processes Used with the Power Method
Elmer E. Osborne · Journal of the Society for Industrial and Applied Mathematics · 1958
Previous article Next article On Acceleration and Matrix Deflation Processes Used with the Power MethodElmer E. OsborneElmer E. Osbornehttps://doi.org/10.1137/0106019PDFPDF PLUSBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] E. Bodewig, Matrix calculus, North-Holland Publishing Company, Amsterdam, 1956xii+334 MR0080363 0086.32501 Google Scholar[2] H. Ford, Eigenvalue Solution Complex, CLPMCI, SHARE Subroutine, Lockheed Aircraft Corporation, California, 1957, April 8 Google Scholar[3] G. E. Forsythe and , W. Feller, New matrix transformations for obtaining characteristic vectors, Quart. Appl. Math., 8 (1951), 325–331 MR0039373 0043.01502 CrossrefISIGoogle Scholar[4] Werner L. Frank, Computing eigenvalues of complex matrices by determinant evaluation and by methods of Danilewski and Wielandt, J. Soc. Indust. Appl. Math., 6 (1958), 378–392 10.1137/0106026 MR0103586 0198.20804 LinkISIGoogle Scholar[5] J. B. Rosser, , C. Lanczos, , M. R. Hestenes and , W. Karush, Separation of close eigenvalues of a real symmetric matrix, J. Research Nat. Bur. Standards, 47 (1951), 291–297 MR0048914 CrossrefISIGoogle Scholar[6] J. H. Wilkinson, The calculation of the latent roots and vectors of matrices on the pilot model of the A.C.E, Proc. Cambridge Philos. Soc., 50 (1954), 536–566 MR0063775 0056.12202 CrossrefISIGoogle Scholar Previous article Next article FiguresRelatedReferencesCited ByDetails Approximation of the Eigenvalues of a Class of Unbounded, Nonself-Adjoint OperatorsSIAM Journal on Numerical Analysis, Vol. 4, No. 1 | 14 July 2006AbstractPDF (814 KB)Computing Eigenvalues of Complex Matrices by Determinant Evaluation and by Methods of Danilewski and WielandtWerner L. FrankJournal of the Society for Industrial and Applied Mathematics, Vol. 6, No. 4 | 10 July 2006AbstractPDF (1300 KB)The Computation of Eigenvalues and Eigenvectors of a MatrixPaul A. WhiteJournal of the Society for Industrial and Applied Mathematics, Vol. 6, No. 4 | 10 July 2006AbstractPDF (4289 KB)Computing Eigenvalues of Non-Hermitian Matrices by Methods of Jacobi TypeRobert L. CauseyJournal of the Society for Industrial and Applied Mathematics, Vol. 6, No. 2 | 10 July 2006AbstractPDF (939 KB)Results Using Lanczos’ Method for Finding Eigenvalues of Arbitrary MatricesRobert T. GregoryJournal of the Society for Industrial and Applied Mathematics, Vol. 6, No. 2 | 10 July 2006AbstractPDF (492 KB) Volume 6, Issue 3| 1958Journal of the Society for Industrial and Applied Mathematics199-319 History Submitted:15 January 1958Published online:10 July 2006 InformationCopyright © 1958 Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/0106019Article page range:pp. 279-287ISSN (print):0368-4245ISSN (online):2168-3484Publisher:Society for Industrial and Applied Mathematics