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\iteman{io-port 01253979}
\itemau{Pfl\"ugel, E.}
\itemti{An algorithm for computing exponential solutions of first order linear differential systems.}
\itemso{K\"uchlin, Wolfgang W. (ed.), Proceedings of the 1997 international symposium on symbolic and algebraic computation, ISSAC '97, Maui, HI, USA, July 21--23, 1997. New York, NY: ACM Press. 164-171 (1997).}
\itemab
Summary: This article deals with the computation of exponential solutions of first-order linear differential systems with rational function coefficients. We develop an algorithm working directly at the system in contrast to the standard approach of cyclic vectors which transforms the system in an equivalent $n$th-order scalar linear differential equation. We have implemented our method in the computer algebra system MAPLE V, and it turns out that it is in general more efficient than the cyclic vector approach.
\itemrv{~}
\itemcc{}
\itemut{exponential solutions; first-order linear differential systems; rational function coefficients; algorithm; computer algebra system MAPLE V; cyclic vector approach}
\itemli{}
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