A Class of Hessenberg Matrices with Known Eigenvalues and Inverses

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Previous article Next article A Class of Hessenberg Matrices with Known Eigenvalues and InversesT. S. ChowT. S. Chowhttps://doi.org/10.1137/1011065PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] Marvin Marcus, Basic theorems in matrix theory, Nat. Bur. Standards Appl. Math. Ser., 57 (1960), iv+27 MR0109824 (22:709) 0086.32502 Google Scholar[2] Morris Newman and , John Todd, The evaluation of matrix inversion programs, J. Soc. Indust. Appl. Math., 6 (1958), 466–476 10.1137/0106030 MR0100348 (20:6781) 0085.34305 LinkISIGoogle Scholar Previous article Next article FiguresRelatedReferencesCited ByDetails New production matrices for geometric graphsLinear Algebra and its Applications, Vol. 633 | 1 Jan 2022 Cross Ref Production matrices for geometric graphsElectronic Notes in Discrete Mathematics, Vol. 54 | 1 Oct 2016 Cross Ref A Note on Perturbation Estimates for Invariant Subspaces of Hessenberg MatricesAdvances in Soft Computing, Intelligent Robotics and Control | 1 Jan 2014 Cross Ref Combinatorial aspects of generalized complementary basic matricesOpen Mathematics, Vol. 11, No. 12 | 1 Jan 2013 Cross Ref Complementary basic matricesLinear Algebra and its Applications, Vol. 384 | 1 Jun 2004 Cross Ref Algorithm 694ACM Transactions on Mathematical Software, Vol. 17, No. 3 | 1 Sep 1991 Cross Ref Computational methods of linear algebraJournal of Soviet Mathematics, Vol. 15, No. 5 | 1 Jan 1981 Cross Ref On determinants of Toeplitz-Hessenberg matrices arising in power seriesJournal of Mathematical Analysis and Applications, Vol. 63, No. 2 | 1 Apr 1978 Cross Ref On the distribution of errors in the iterative solution of a system of linear equationsNumerische Mathematik, Vol. 24, No. 1 | 1 Feb 1975 Cross Ref A class of Hessenberg matrices with known pseudoinverse and Drazin inverseMathematics of Computation, Vol. 29, No. 130 | 1 January 1975 Cross Ref Inversion of isoclinal matricesMathematics of Computation, Vol. 26, No. 119 | 1 January 1972 Cross Ref On the Eigenvalues and Eigenvectors of a Class of Hessenberg MatricesGraeme FairweatherSIAM Review, Vol. 13, No. 2 | 18 July 2006PDF (103 KB)Sulla determinazione della inversa delle matrici tridiagonali e tridiagonali a blocchiCalcolo, Vol. 7, No. 3-4 | 1 Sep 1970 Cross Ref Volume 11, Issue 3| 1969SIAM Review307-427 History Submitted:11 April 1968Published online:02 August 2006 InformationCopyright © 1969 © Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/1011065Article page range:pp. 391-395ISSN (print):0036-1445ISSN (online):1095-7200Publisher:Society for Industrial and Applied Mathematics