A Class of Triple-Diagonal Matrices for Test Purposes

Previous article Next article A Class of Triple-Diagonal Matrices for Test PurposesPaul A. ClementPaul A. Clementhttps://doi.org/10.1137/1001006PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout Previous article Next article FiguresRelatedReferencesCited ByDetails Remark on the eigenvalues of a tridiagonal matrix in biogeographyApplied Mathematics and Computation, Vol. 437 | 1 Jan 2023 Cross Ref Anymatrix: an extensible MATLAB matrix collectionNumerical Algorithms, Vol. 90, No. 3 | 28 December 2021 Cross Ref A real triple dqds algorithm for the nonsymmetric tridiagonal eigenvalue problemNumerische Mathematik, Vol. 150, No. 2 | 18 January 2022 Cross Ref A new type of Sylvester–Kac matrix and its spectrumLinear and Multilinear Algebra, Vol. 69, No. 6 | 27 May 2019 Cross Ref A Short Note on the Determinant of a Sylvester–Kac Type MatrixInternational Journal of Nonlinear Sciences and Numerical Simulation, Vol. 21, No. 3-4 | 19 February 2020 Cross Ref An observation on the determinant of a Sylvester-Kac type matrixAnalele Universitatii "Ovidius" Constanta - Seria Matematica, Vol. 28, No. 1 | 9 April 2020 Cross Ref Spectrum and eigenvectors for a class of tridiagonal matricesLinear Algebra and its Applications, Vol. 582 | 1 Dec 2019 Cross Ref Benchmarks of MATRIX Blockset for REX SystemIFAC-PapersOnLine, Vol. 51, No. 6 | 1 Jan 2018 Cross Ref Tridiagonal test matrices for eigenvalue computations: Two-parameter extensions of the Clement matrixJournal of Computational and Applied Mathematics, Vol. 314 | 1 Apr 2017 Cross Ref Matrix Depot: an extensible test matrix collection for JuliaPeerJ Computer Science, Vol. 2 | 6 April 2016 Cross Ref A Test Matrix for an Inverse Eigenvalue ProblemJournal of Applied Mathematics, Vol. 2014 | 1 Jan 2014 Cross Ref The eigenpairs of a Sylvester–Kac type matrix associated with a simple model for one-dimensional deposition and evaporationApplied Mathematics Letters, Vol. 26, No. 12 | 1 Dec 2013 Cross Ref Solving Ax=bA Graduate Introduction to Numerical Methods | 21 November 2013 Cross Ref Sensitivity of eigenvalues of an unsymmetric tridiagonal matrixNumerische Mathematik, Vol. 122, No. 3 | 18 April 2012 Cross Ref Algorithm 880ACM Transactions on Mathematical Software, Vol. 35, No. 1 | 22 Jul 2008 Cross Ref Cayley continuantsTheoretical Computer Science, Vol. 347, No. 1-2 | 1 Nov 2005 Cross Ref The Ehrlich--Aberth Method for the Nonsymmetric Tridiagonal Eigenvalue ProblemDario A. Bini, Luca Gemignani, and Françoise TisseurSIAM Journal on Matrix Analysis and Applications, Vol. 27, No. 1 | 31 July 2006AbstractPDF (424 KB)How many zeros of a random polynomial are real?Bulletin of the American Mathematical Society, Vol. 32, No. 1 | 1 Jan 1995 Cross Ref Algorithm 694ACM Transactions on Mathematical Software, Vol. 17, No. 3 | 1 Sep 1991 Cross Ref Inversion of tridiagonal matricesNumerische Mathematik, Vol. 38, No. 3 | 1 Oct 1982 Cross Ref A note on the Hénon–Heiles problemJournal of Mathematical Physics, Vol. 21, No. 1 | 1 Jan 1980 Cross Ref Towards an invariant for the time‐dependent anharmonic oscillatorJournal of Mathematical Physics, Vol. 20, No. 1 | 1 Jan 1979 Cross Ref Invertierung von 3-diagonalen MatrizenZAMM - Zeitschrift für Angewandte Mathematik und Mechanik, Vol. 57, No. 7 | 1 Jan 1977 Cross Ref Sulla determinazione della inversa delle matrici tridiagonali e tridiagonali a blocchiCalcolo, Vol. 7, No. 3-4 | 1 Sep 1970 Cross Ref Volume 1, Issue 1| 1959SIAM Review1-78 History Published online:18 July 2006 InformationCopyright © 1959 Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/1001006Article page range:pp. 50-52ISSN (print):0036-1445ISSN (online):1095-7200Publisher:Society for Industrial and Applied Mathematics