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12

ISSAC
2009
Springer

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Algorithms for regular solutions of higher-order linear differential systems

13 years 11 months ago

Algorithms for regular solutions of higher-order linear differential systems

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We study systems of higher-order linear diﬀerential equations having a regular singularity at the origin. Using the properties of matrix polynomials, we develop eﬃcient methods for computing their regular formal solutions. Our algorithm handles the system directly without transforming it into a system of ﬁrst-order but higher size. We give its arithmetic complexity and discuss the results of an implementation in Maple. Categories and Subject Descriptors

Moulay A. Barkatou, Thomas Cluzeau, Carole El Bach

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ISSAC 2009 | Linear Diﬀerential Equations | Mathematics | Regular Formal Solutions | Regular Singularity |

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Added	26 May 2010
Updated	26 May 2010
Type	Conference
Year	2009
Where	ISSAC
Authors	Moulay A. Barkatou, Thomas Cluzeau, Carole El Bacha

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