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Macsyma computation of local minimal realization of dynamical systems of which generating power series are finite
Oussous N. Journal of Symbolic Computation12 (1):115-126,1991.Type:Article
Date Reviewed: Dec 1 1992

The majority of the paper (seven and a half pages) is devoted to describing the mathematical framework underlying the algorithm. One and a half pages are used to provide an outline of the two-part MACSYMA program. This description is limited to listing the inputs and outputs of the two main procedures and five subprocedures. A table of examples and the references are given on the final two pages. The program is able to treat polynomials up to degree 5, a limitation imposed by the core size of the computer.

Reviewer:  J. H. Griesmer Review #: CR115776
1) Fliess, M. Réalisation locale des systèmes non linéaires, algèbres de Lie filtrées transitives et séries génératrices. Invent. Math. 71 (1983), 521–537.
2) Reutenauer, C. The local realisation of generating series of finite Lie rank. In Algebraic and Geometric Methods in Nonlinear Control Theory, M. Fliess and M. Hazewinkel, Eds., 1986, 33–43.
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Algorithms (I.1.2 )
 
 
Mathematical Software (G.4 )
 
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