The Structure of Powers of Nonnegative Matrices II. The Index of Maximum Density
B. R. Heap, M. Stuart Lynn · SIAM Journal on Applied Mathematics · 1966
Previous article Next article The Structure of Powers of Nonnegative Matrices II. The Index of Maximum DensityB. R. Heap and M. S. LynnB. R. Heap and M. S. Lynnhttps://doi.org/10.1137/0114064PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] B. R. Heap and , M. S. Lynn, The structure of powers of nonnegative matrices. I. The index of convergence, SIAM J. Appl. Math., 14 (1966), 610–639 10.1137/0114052 MR0225671 (37:1264) 0166.03705 LinkISIGoogle Scholar[2] Marvin Marcus and , Frank May, The maximum number of zeros in the powers of an indecomposable matrix, Duke Math. J., 29 (1962), 581–588 10.1215/S0012-7094-62-02958-7 MR0150154 (27:157) 0201.36902 CrossrefISIGoogle Scholar[3] N. Pullman, On the number of positive entries in the powers of a non-negative matrix, Canad. Math. Bull., 7 (1964), 525–537 MR0180562 (31:4796) 0143.26304 CrossrefGoogle Scholar Previous article Next article FiguresRelatedReferencesCited ByDetails The stable index of 0-1 matricesLinear Algebra and its Applications, Vol. 600 | 1 Sep 2020 Cross Ref On k-idempotent 0-1 matricesLinear Algebra and its Applications, Vol. 597 | 1 Jul 2020 Cross Ref An inequality for non-negative matricesLinear Algebra and its Applications, Vol. 290, No. 1-3 | 1 Mar 1999 Cross Ref The upper bounds of the generalized maximum density index of irreducible boolean matricesLinear Algebra and its Applications, Vol. 256 | 1 Apr 1997 Cross Ref The index set problem for Boolean (or nonnegative) matricesDiscrete Mathematics, Vol. 123, No. 1-3 | 1 Dec 1993 Cross Ref On the index of maximum density for irreducible Boolean matricesDiscrete Applied Mathematics, Vol. 21, No. 2 | 1 Oct 1988 Cross Ref On fully indecomposable matricesJournal of Computer and System Sciences, Vol. 5, No. 6 | 1 Dec 1971 Cross Ref A Property of Infinite Products of Boolean MatricesN. J. PullmanSIAM Journal on Applied Mathematics, Vol. 15, No. 4 | 13 July 2006AbstractPDF (286 KB)The Structure of Powers of Nonnegative Matrices I. The Index of ConvergenceB. R. Heap and M. S. LynnSIAM Journal on Applied Mathematics, Vol. 14, No. 3 | 28 July 2006AbstractPDF (2716 KB) Volume 14, Issue 4| 1966SIAM Journal on Applied Mathematics641-959 History Submitted:10 May 1965Published online:03 August 2006 InformationCopyright © 1966 © Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/0114064Article page range:pp. 762-777ISSN (print):0036-1399ISSN (online):1095-712XPublisher:Society for Industrial and Applied Mathematics