On Determining the Structure of A by Analyzing $e^{At} $
Allen D. Ziebur · SIAM Review · 1970
Previous article Next article On Determining the Structure of A by Analyzing $e^{At} $Allen D. ZieburAllen D. Zieburhttps://doi.org/10.1137/1012005PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] T. M. Apostol, Classroom Notes: Some Explicit Formulas for the Exponential Matrix $e\sp {tA}$, Amer. Math. Monthly, 76 (1969), 289–292 MR1535342 0174.32001 CrossrefISIGoogle Scholar[2] W. A. Coppel, Stability and asymptotic behavior of differential equations, D. C. Heath and Co., Boston, Mass., 1965viii+166 MR0190463 0154.09301 Google Scholar[3] R. B. Kirchner, An explicit formula for $e\sp{At}$, Amer. Math. Monthly, 74 (1967), 1200–1204 MR0220745 0155.35503 CrossrefISIGoogle Scholar[4] E. D. Nering, Linear Algebra and Matrix Theory, John Wiley, New York, 1963 0131.01403 Google Scholar[5] E. J. Putzer, Avoiding the Jordan canonical form in the discussion of linear systems with constant coefficients, Amer. Math. Monthly, 73 (1966), 2–7 MR0194636 0135.29801 CrossrefISIGoogle Scholar Previous article Next article FiguresRelatedReferencesCited byDetails On the stability and the uniform propagation of chaos properties of Ensemble Kalman–Bucy filtersThe Annals of Applied Probability, Vol. 28, No. 2 Cross Ref The Method of Calculate Exponential Function1 January 2014 | Applied Mechanics and Materials, Vol. 496-500 Cross Ref The Cayley–Hamilton and Frobenius theorems via the Laplace transformLinear Algebra and its Applications, Vol. 371 Cross Ref Nineteen Dubious Ways to Compute the Exponential of a Matrix, Twenty-Five Years Later4 August 2006 | SIAM Review, Vol. 45, No. 1AbstractPDF (748 KB)Matrix Exponentials---Another Approach4 August 2006 | SIAM Review, Vol. 43, No. 4AbstractPDF (497 KB)A new approach to the state-transfer problemJournal of the Franklin Institute, Vol. 333, No. 1 Cross Ref The computer generated symbolic approximations to systems of nonlinear ode's by matrix annihilation and the Newton-Kantorovich methodComputers & Mathematics with Applications, Vol. 24, No. 3 Cross Ref Nineteen Dubious Ways to Compute the Exponential of a Matrix17 February 2012 | SIAM Review, Vol. 20, No. 4AbstractPDF (3545 KB)Computation of the Matrix Exponential11 April 2018 | The American Mathematical Monthly, Vol. 82, No. 2 Cross Ref Blockmatrizen und lineare MatrizengleichungenMathematische Nachrichten, Vol. 59, No. 1-6 Cross Ref On the Ostrowski-Schneider inertia theoremJournal of Mathematical Analysis and Applications, Vol. 41, No. 1 Cross Ref Solving the Matrix Equation $\sum _{\rho = 1}^r f_\rho (A)Xg_\rho (B) = C$18 July 2006 | SIAM Review, Vol. 14, No. 2AbstractPDF (437 KB) Volume 12, Issue 1| 1970SIAM Review History Submitted:13 May 1969Published online:18 July 2006 InformationCopyright © 1970 Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/1012005Article page range:pp. 98-102ISSN (print):0036-1445ISSN (online):1095-7200Publisher:Society for Industrial and Applied Mathematics