Abstract
In this paper we describe an algorithm for finding an algebraic form for a solution of a system of linear differential equations with constant coefficients, using the properties of elementary divisors of a polynomial matrix.
Work supported by I.R.I.A. and by the National Science Foundation under Grant No. MCS 76-15035.
Preview
Unable to display preview. Download preview PDF.
Bibliography
Arkitas, A.G. "Vincent's theorem in algebraic manipulation" Ph.D. North Carolina State University at Raleigh (1978).
Gantmacher, F.R. "The Theory of Matrices" (Vol. 182) Chelsea Publishing Company. (1959).
Gastinel, N. "Analyse Numérique" Hermann (1964).
Golden, T.F. "MACSYMA's symbolic ordinary differential equation solver" proceeding of the 1977 MACSYMA User's Conference.
Hearn, A.C. "REDUCE-2 User's Manual" 2nd Edition., University of Utah Computational Physics Group Report No. UCP — 19 (March 1973).
Lafferty, E.L. "Power series solutions of ordinary differential equations in MACSYMA User's conference."
Norman, A. Private Communication.
Schmidt, P. "Automatic solution of differential equation of first order and first degree" ACM Symposium on Symbolic and Algebraic Computation, 1976.
Vincent, M. "Sur La Résolution des Equations Numériques" Journal de Mathématiques Pures et Appliquées. Vol 1 (1836).
Watanabe, S. "Differential Equations Package in REDUCE-2" Ricken Symposium on Symbolic and Algebraic Computations by Computer (Nov. 1978).
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1979 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Tournier, E. (1979). An algebraic form of a solution of a system of linear differential equations with constant coefficients. In: Ng, E.W. (eds) Symbolic and Algebraic Computation. EUROSAM 1979. Lecture Notes in Computer Science, vol 72. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-09519-5_68
Download citation
DOI: https://doi.org/10.1007/3-540-09519-5_68
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-09519-4
Online ISBN: 978-3-540-35128-3
eBook Packages: Springer Book Archive