A Note on the Matrices Denoted $B_n $
P. J. Eberlein · SIAM Journal on Applied Mathematics · 1971
Previous article Next article A Note on the Matrices Denoted $B_n $P. J. EberleinP. J. Eberleinhttps://doi.org/10.1137/0120012PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] S. Chowla, , I. N. Herstein and , W. K. Moore, On recursions connected with symmetric groups. I, Canadian J. Math., 3 (1951), 328–334 MR0041849 0043.25904 CrossrefISIGoogle Scholar[2] P. J. Eberlein, A Jacobi-like method for the automatic computation of eigenvalues and eigenvectors of an arbitrary matrix, J. Soc. Indust. Appl. Math., 10 (1962), 74–88 10.1137/0110007 MR0139264 0104.34401 LinkISIGoogle Scholar[3] P. J. Eberlein and , J. Boothroyd, Solution to the eigenproblem by a norm-reducing Jacobi-like method, Numer. Math., 11 (1968), 1–12 10.1007/BF02165467 0157.22605 CrossrefISIGoogle Scholar[4] P. J. Eberlein, Solution to the complex eigenproblem by a norm reducing Jacobi type method, Numer. Math., 14 (1969/1970), 232–245 10.1007/BF02163332 MR0255032 0194.46803 CrossrefGoogle Scholar[5] Werner L. Frank, Computing eigenvalues of complex matrices by determinant evaluation and by methods of Danilewski and Wielandt, J. Soc. Indust. Appl. Math., 6 (1958), 378–392 10.1137/0106026 MR0103586 0198.20804 LinkISIGoogle Scholar[6] Robert T. Gregory and , David L. Karney, A collection of matrices for testing computational algorithms, Wiley-Interscience A Division of John Wiley & Sons, Inc., New York-London-Sydney, 1969ix+154 MR0253538 0195.44803 Google Scholar[7] J. Mallare, A table of eigenvalues and eigenvectors of the matrices Bn, SUNYAB Computer Science Rep., State University of New York at Buffalo, 1970 Google Scholar[8] Leo Moser and , Max Wyman, On solutions of $x\sp d=1$ in symmetric groups, Canad. J. Math., 7 (1955), 159–168 MR0068564 0064.02601 CrossrefGoogle Scholar[9] Beresford Parlett, Laguerre's method applied to the matrix eigenvalue problem, Math. Comp., 18 (1964), 464–485 MR0165668 0124.33004 ISIGoogle Scholar[10] John Riordan, An introduction to combinatorial analysis, Wiley Publications in Mathematical Statistics, John Wiley & Sons Inc., New York, 1958xi+244 MR0096594 0078.00805 Google Scholar[11] J. Varah, The computation of bounds for the invariant subspaces of a general matrix operator, Vol. CS 66, Computer Science Dept., Stanford University, 1967 Google Scholar[12] Joan R. Westlake, A handbook of numerical matrix inversion and solution of linear equations, John Wiley & Sons Inc., New York, 1968, 153–154 MR0221742 0155.19901 Google Scholar[13] J. H. Wilkinson, Rigorous error bounds for computed eigensystems, Comput. J., 4 (1961/1962), 230–241 10.1093/comjnl/4.3.230 MR0129124 0109.34504 CrossrefISIGoogle Scholar[14] J. H. Wilkinson, Rounding errors in algebraic processes, Prentice-Hall Inc., Englewood Cliffs, N.J., 1963vi+161 MR0161456 1041.65502 Google Scholar[15] J. H. Wilkinson, The algebraic eigenvalue problem, Clarendon Press, Oxford, 1965xviii+662 MR0184422 0258.65037 Google Scholar[16] J. H. Wilkinson, Error analysis of floating-point computation, Numer. Math., 2 (1960), 319–340 10.1007/BF01386233 MR0116477 0091.29605 CrossrefGoogle Scholar[17] J. H. Wilkinson, The $QR$ algorithm for real Hessenberg matrices, Numer. Math., 14 (1970), 219–231 10.1007/BF02163331 0194.46901 CrossrefISIGoogle Scholar Previous article Next article FiguresRelatedReferencesCited byDetails Sturm Theorem for the generalized Frank matrix31 December 2021 | Hacettepe Journal of Mathematics and Statistics Cross Ref Some Properties Of Generalized Frank Matrices1 May 2020 | Mathematical Sciences and Applications E-Notes Cross Ref On solutions of “equations in symmetric groups”Journal of Combinatorial Theory, Series A, Vol. 25, No. 2 Cross Ref Volume 20, Issue 1| 1971SIAM Journal on Applied Mathematics History Submitted:18 March 1970Published online:12 July 2006 InformationCopyright © 1971 Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/0120012Article page range:pp. 87-92ISSN (print):0036-1399ISSN (online):1095-712XPublisher:Society for Industrial and Applied Mathematics