Computing Eigenvalues of Complex Matrices by Determinant Evaluation and by Methods of Danilewski and Wielandt
Werner L. Frank · Journal of the Society for Industrial and Applied Mathematics · 1958
Previous article Next article Computing Eigenvalues of Complex Matrices by Determinant Evaluation and by Methods of Danilewski and WielandtWerner L. FrankWerner L. Frankhttps://doi.org/10.1137/0106026PDFPDF PLUSBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] E. Bodewig, Matrix calculus, North-Holland Publishing Company, Amsterdam, 1956xii+334 MR0080363 0086.32501 Google Scholar[2A] E. Bodewig, Bericht über die Methoden zur numerischen Lösung von algebraischen Eigenwertproblemen. I, Atti Sem. Mat. Fis. Univ. Modena, 4 (1950), 133–193 MR0048163 0041.24202 Google Scholar[2B] E. Bodewig, Bericht über die Methoden zur numerischen Lösung von algebraischen Eigenwertproblemen. II, Atti Sem. Mat. Fis. Univ. Modena, 5 (1951), 3–39 MR0055800 Google Scholar[3] 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. 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J, 1 (1958), 148–152 10.1093/comjnl/1.3.148 MR0102915 0117.11002 CrossrefISIGoogle Scholar Previous article Next article FiguresRelatedReferencesCited ByDetails Localization Criteria and Containment for Rayleigh Quotient IterationSIAM Journal on Matrix Analysis and Applications, Vol. 10, No. 1 | 17 July 2006AbstractPDF (1766 KB)A Generalization of the Frank MatrixSIAM Journal on Scientific and Statistical Computing, Vol. 7, No. 3 | 14 July 2006AbstractPDF (479 KB)A Note on the Matrices Denoted $B_n $SIAM Journal on Applied Mathematics, Vol. 20, No. 1 | 12 July 2006AbstractPDF (378 KB)A Jacobi-Like Method for the Automatic Computation of Eigenvalues and Eigenvectors of an Arbitrary MatrixJournal of the Society for Industrial and Applied Mathematics, Vol. 10, No. 1 | 13 July 2006AbstractPDF (946 KB)The Design of a Computer Program to Determine the Natural Frequencies and Normal Modes of Vibration of an In-Line Mechanical System of Springs and MassesJournal of the Society for Industrial and Applied Mathematics, Vol. 9, No. 2 | 10 July 2006AbstractPDF (1469 KB)On Acceleration and Matrix Deflation Processes Used with the Power MethodElmer E. 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