Previous article Next article New Generalizations of Jacobi MatricesJohn S. MaybeeJohn S. Maybeehttps://doi.org/10.1137/0114083PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] Marvin Marcus and , Henryk Minc, A survey of matrix theory and matrix inequalities, Allyn and Bacon Inc., Boston, Mass., 1964xvi+180 MR0162808 0126.02404 Google Scholar[2] F. R. Gantmacher and , M. G. Krein, Oscillation Matrices, Oscillation Kernels and Small Vibrations of Mechanical Systems, Moscow-Leningrad, 1950 Google Scholar[3] J. H. Wilkinson, Handbook Series Linear Algebra. Calculation of the eigenvalues of a symmetric tridiagonal matrix by the method of bisection, Numer. Math., 4 (1962), 362–367 10.1007/BF01386333 MR0148208 CrossrefGoogle Scholar[4] Alston S. Householder and , Friedrich L. Bauer, On certain methods for expanding the characteristic polynomial, Numer. Math., 1 (1959), 29–37 10.1007/BF01386370 MR0100962 0089.11802 CrossrefGoogle Scholar[5] James Quirk and , Richard Ruppert, Qualitative economics and the stability of equilibrium, Review of Economic Studies, 32 (1965), 311–326 CrossrefISIGoogle Scholar[6] J. S. Maybee , Remarks on the theory of cycles in matrices , to appear Google Scholar[7] F. R. Gantmacher, The theory of matrices. Vols. 1, 2, Translated by K. A. Hirsch, Chelsea Publishing Co., New York, 1959Vol. 1, x+374 pp. Vol. 2, ix+276 MR0107649 0085.01001 Google Scholar Previous article Next article FiguresRelatedReferencesCited byDetails Estimating a Falsified ModelAdvances in Pure Mathematics, Vol. 06, No. 08 Cross Ref Structural sign patterns and reduced form restrictionsEconomic Modelling, Vol. 29, No. 2 Cross Ref Falsifying economic modelsEconomic Modelling, Vol. 22, No. 5 Cross Ref From real to complex sign pattern matrices17 April 2009 | Bulletin of the Australian Mathematical Society, Vol. 57, No. 1 Cross Ref Qualitative comparative staticsJournal of Mathematical Economics, Vol. 28, No. 2 Cross Ref Qualitatively Stable Matrices and Convergent Matrices Cross Ref Some possible new directions for combinatorial matrix analysisLinear Algebra and its Applications, Vol. 107 Cross Ref On two classes of matrices with positive diagonal solutions to the Lyapunov equationLinear Algebra and its Applications, Vol. 59 Cross Ref QUALITATIVE STABILITY OF MATRICES AND ECONOMIC THEORY: A SURVEY ARTICLE11I would like to thank the Department of Energy for support of the research underlying this paper, as well as Dick Ruppert for his helpful comments and corrections, and Leslie Fort, who did a superb job of typing this paper. Cross Ref Structural Properties in the Stability Problem of Interconnected SystemsIFAC Proceedings Volumes, Vol. 13, No. 6 Cross Ref Stability of nonlinear systemsAutomatica, Vol. 15, No. 5 Cross Ref Stability of Nonlinear Systems: A Structural ApproachIFAC Proceedings Volumes, Vol. 11, No. 1 Cross Ref Combinatorially symmetric matricesLinear Algebra and its Applications, Vol. 8, No. 6 Cross Ref Mechanical vibration treesJournal of Mathematical Analysis and Applications, Vol. 45, No. 3 Cross Ref A CLASS OF GENERALIZED METZLERIAN MATRICES Cross Ref Remarks on the inertia of a matrixLinear Algebra and its Applications, Vol. 3, No. 1 Cross Ref Qualitative Problems in Matrix Theory17 February 2012 | SIAM Review, Vol. 11, No. 1AbstractPDF (2334 KB) Volume 14, Issue 5| 1966SIAM Journal on Applied Mathematics History Submitted:10 December 1965Published online:13 July 2006 InformationCopyright © 1966 Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/0114083Article page range:pp. 1032-1037ISSN (print):0036-1399ISSN (online):1095-712XPublisher:Society for Industrial and Applied Mathematics