A New Derivation of Newton’s Identities and Their Application to the Calculation of the Eigenvalues of a Matrix
George Allen Baker Jr. · Journal of the Society for Industrial and Applied Mathematics · 1959
Previous article Next article A New Derivation of Newton’s Identities and Their Application to the Calculation of the Eigenvalues of a MatrixGeorge A. Baker, Jr.George A. Baker, Jr.https://doi.org/10.1137/0107012PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] R. Courant, Differential and Integral Calculus, translated by E. J. McShane, Vol. 2, Interscience, New York, 1949, 109–110 Google Scholar[2] L. Weisner, Introduction to the Theory of Equations, Macmillan, New York, 1938, 114–115 Google Scholar[3] M. D. Bingham, A new method for obtaining the inverse matrix, J. Amer. Statist. Assoc., 36 (1941), 530–534 MR0005439 0061.27205 CrossrefGoogle Scholar[4] Harold Hotelling, Some new methods in matrix calculation, Ann. Math. Statistics, 14 (1943), 1–34 MR0007851 0061.27007 CrossrefGoogle Scholar[5] Jean-Marie Souriau, Une méthode pour la décomposition spectrale et l'inversion des matrices, C. R. Acad. Sci. Paris, 227 (1948), 1010–1011 MR0027736 0034.15801 Google Scholar[6] J. S. Frame, A simple recursion formula for inverting a matrix, Bull. Amer. Math. Soc., 55 (1949), 1045–, (abstract) ISIGoogle Scholar[7] D. K. Faddeev and , J. S. sominskii˘, Sbornik Zadač po Vysšei˘ Algebre, Moscow-Leningrad, (1949), 308–, (2d ed.) Google Scholar[8] R. L. Anderson and , T. A. Bancroft, Statistical Theory in Research, McGraw-Hill, New York, 1952, 58–67 0049.09803 Google Scholar[9] A. Hald, Statistical theory with engineering applications, John Wiley and Sons, Inc., New York, 1952, 676–685 MR0049514 0048.36404 Google Scholar[10] George E. Forsythe and , Louise W. Straus, The Souriau-Frame characteristic equation algorithm on a digital computer, J. Math. Phys., 34 (1955), 152–156 MR0071121 0068.10602 CrossrefGoogle Scholar Previous article Next article FiguresRelatedReferencesCited byDetails Volume 7, Issue 2| 1959Journal of the Society for Industrial and Applied Mathematics History Submitted:15 April 1957Accepted:23 September 1958Published online:10 July 2006 InformationCopyright © 1959 Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/0107012Article page range:pp. 143-148ISSN (print):0368-4245ISSN (online):2168-3484Publisher:Society for Industrial and Applied Mathematics