A modular algorithm for computing the exponential solutions of a linear differential operator

We present a new algorithm for computing exponential solutions of differential operators with rational function coefficients. We use a combination of local and modular computations, which allows us to reduce the number of possibilities in the combinatorial part of the algorithm. We also show how unn...

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Vydáno v:Journal of symbolic computation Ročník 38; číslo 3; s. 1043 - 1076
Hlavní autoři: Cluzeau, Thomas, van Hoeij, Mark
Médium: Journal Article
Jazyk:angličtina
Vydáno: Elsevier Ltd 01.09.2004
Elsevier
Témata:
Differential equations
Exponential solutions
Modular algorithms
Exponential solutions
Modular algorithms
Differential equations
ISSN:0747-7171, 1095-855X
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Shrnutí:We present a new algorithm for computing exponential solutions of differential operators with rational function coefficients. We use a combination of local and modular computations, which allows us to reduce the number of possibilities in the combinatorial part of the algorithm. We also show how unnecessarily large algebraic extensions of the constants can be avoided in the algorithm.
ISSN:0747-7171
1095-855X
DOI:10.1016/j.jsc.2003.11.004