Previous article Next article Elementary Divisors of the Stein Transformation $X \to X - CXC^ * $C. W. DavisC. W. Davishttps://doi.org/10.1137/0127038PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAboutAbstractThe elementary divisor structure of the Stein transformation, $X \to X - CXC^ * $, is given by considering it as a linear transformation on the set of $n \times n$ matrices.[1] C. W. Davis, Ph.D. Thesis, On the Lyapunov and Stein transformation and related results, Auburn University, Auburn, Alabama, 1971 Google Scholar[2] Wallace Givens, Elementary divisors and some properties of the Lyapunov mapping, Rep., ANL-6456, Argonne National Laboratory, Argonne, Ill., 1961 Google Scholar[3] Cyrus Colton MacDuffee, Vectors and Matrices, Carus Monograph Series, no. 7, Mathematical Association of America, Ithaca, N.Y., 1943xi+192pp MR0008595 0060.03309 Google Scholar[4] Olga Taussky, Matrices C with $C\sp{n}\rightarrow 0$, J. Algebra, 1 (1964), 5–10 10.1016/0021-8693(64)90003-1 MR0161865 CrossrefGoogle Scholar Previous article Next article FiguresRelatedReferencesCited byDetails Displacement Rank and Deconvolution: Applications and Open Problems Cross Ref Volume 27, Issue 3| 1974SIAM Journal on Applied Mathematics History Submitted:18 January 1973Published online:12 July 2006 InformationCopyright © 1974 Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/0127038Article page range:pp. 492-494ISSN (print):0036-1399ISSN (online):1095-712XPublisher:Society for Industrial and Applied Mathematics