A Method for the Computation of the Greatest Root of a Positive Matrix
Alfred Brauer · Journal of the Society for Industrial and Applied Mathematics · 1957
Previous article Next article A Method for the Computation of the Greatest Root of a Positive MatrixAlfred BrauerAlfred Brauerhttps://doi.org/10.1137/0105018PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] Alfred Brauer, Limits for the characteristic roots of a matrix. IV. Applications to stochastic matrices, Duke Math. J., 19 (1952), 75–91 10.1215/S0012-7094-52-01910-8 MR0047003 0046.01202 CrossrefISIGoogle Scholar[2] Alfred Brauer, A new proof of theorems of Perron and Frobenius on non-negative matrices. I. Positive matrices, Duke Math. J., 24 (1957), 367–378 10.1215/S0012-7094-57-02445-6 MR0089824 0078.01102 CrossrefISIGoogle Scholar[3] Georg Frobenius, Ueber Matrizen aus positiven Elementen, Sitzungsberichte der Preussischen Akademie der Wissenschaften zu Berlin, (1908), 471–478, and 1909, pp. 514–518 Google Scholar[4] Oskar Perron, Zur Theorie der Matrices, Math. Ann., 64 (1907), 248–263 10.1007/BF01449896 MR1511438 CrossrefGoogle Scholar Previous article Next article FiguresRelatedReferencesCited byDetails A Class of Diagonal Transformation Methods for the Computation of the Spectral Radius of a Nonnegative Irreducible Matrix17 July 2006 | SIAM Journal on Numerical Analysis, Vol. 18, No. 4AbstractPDF (961 KB)Computing the Maximal Eigenvalue and Eigenvector of a Positive Matrix3 August 2006 | SIAM Journal on Numerical Analysis, Vol. 5, No. 2AbstractPDF (521 KB)A Method for the Computation of the Greatest Root of a Nonnegative Matrix14 July 2006 | SIAM Journal on Numerical Analysis, Vol. 3, No. 4AbstractPDF (506 KB) Volume 5, Issue 4| 1957Journal of the Society for Industrial and Applied Mathematics History Submitted:14 October 1957Published online:10 July 2006 InformationCopyright © 1957 Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/0105018Article page range:pp. 250-253ISSN (print):0368-4245ISSN (online):2168-3484Publisher:Society for Industrial and Applied Mathematics