Computing the Maximal Eigenvalue and Eigenvector of a Nonnegative Irreducible Matrix
C. A. Hall, Thomas A. Porsching · SIAM Journal on Numerical Analysis · 1968
Previous article Next article Computing the Maximal Eigenvalue and Eigenvector of a Nonnegative Irreducible MatrixC. A. Hall and T. A. PorschingC. A. Hall and T. A. Porschinghttps://doi.org/10.1137/0705037PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] C. A. Hall and , T. A. Porsching, Computing the maximal eigenvalue and eigenvector of a positive matrix, SIAM J. Numer. Anal., 5 (1968), 269–274 10.1137/0705023 MR0231525 0157.22701 LinkISIGoogle Scholar[2] Richard S. Varga, Matrix iterative analysis, Prentice-Hall Inc., Englewood Cliffs, N.J., 1962xiii+322 MR0158502 Google Scholar Previous article Next article FiguresRelatedReferencesCited byDetails On the Perron root and eigenvectors associated with a subshift of finite typeLinear Algebra and its Applications, Vol. 633 Cross Ref An iterative method for finding the spectral radius of an irreducible nonnegative tensor5 January 2021 | Computational and Applied Mathematics, Vol. 40, No. 1 Cross Ref Linear convergence of an algorithm for computing the largest eigenvalue of a nonnegative tensor18 October 2011 | Numerical Linear Algebra with Applications, Vol. 19, No. 5 Cross Ref A new algorithm for computing largest real part eigenvalue of matrices: Collatz & Perron-Frobernius' approachActa Mathematica Scientia, Vol. 31, No. 3 Cross Ref Diagonal transformation methods for computing the maximal eigenvalue and eigenvector of a nonnegative irreducible matrixLinear Algebra and its Applications, Vol. 148 Cross Ref On a class of algorithms for finding the maximum eigenvalue and corresponding eigenvector of an irreducible non-negative matrixUSSR Computational Mathematics and Mathematical Physics, Vol. 27, No. 6 Cross Ref A Class of Diagonal Transformation Methods for the Computation of the Spectral Radius of a Nonnegative Irreducible MatrixWolfgang Bunse17 July 2006 | SIAM Journal on Numerical Analysis, Vol. 18, No. 4AbstractPDF (961 KB)Determination of the greatest eigenvalue and the corresponding eigenvector of a non-negative matrixUSSR Computational Mathematics and Mathematical Physics, Vol. 21, No. 4 Cross Ref Zur Bestimmung der Frobeniuswurzel nichtnegativer Matrizen1 March 1975 | Computing, Vol. 14, No. 1-2 Cross Ref Reduction of an irreducible non-negative matrix to quasi-stochastic form by the method of similarity variationUSSR Computational Mathematics and Mathematical Physics, Vol. 15, No. 5 Cross Ref Verfahren zur Berechnung des Spektralradius nichtnegativer irreduzibler Matrizen IIComputing, Vol. 9, No. 1 Cross Ref Verfahren zur Berechnung des Spektralradius nichtnegativer irreduzibler MatrizenComputing, Vol. 8, No. 1-2 Cross Ref Computing the Maximal Eigenvalue and Eigenvector of a Positive MatrixC. A. Hall and T. A. Porsching3 August 2006 | SIAM Journal on Numerical Analysis, Vol. 5, No. 2AbstractPDF (521 KB) Volume 5, Issue 3| 1968SIAM Journal on Numerical Analysis History Submitted:07 November 1967Published online:14 July 2006 InformationCopyright © 1968 Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/0705037Article page range:pp. 470-474ISSN (print):0036-1429ISSN (online):1095-7170Publisher:Society for Industrial and Applied Mathematics