Moulay A. Barkatou
Abstract
The Maple ISOLDE package contains algorithms for symbolically solving various classes of linear functional systems. In this demonstration, we focus on the local analysis of systems of linear differential and difference equations. We illustrate the use of our formal reduction algorithm and sketch the link with the computation of a formal fundamental matrix solution at a regular or irregular singularity.
- M. A. Barkatou, G. Broughton, and E. Pflügel. A monomial-by-monomial method for computing regular solutions of systems of pseudo-linear equations. Mathematics in Computer Science, 4(2-3):267--288, 2010.Google Scholar
Cross Ref
- M. A. Barkatou, G. Broughton, and E. Pflügel. A generic algorithm for computing formal solutions of systems of pseudo-linear equations. 2012. In preparation.Google Scholar
- M.A. Barkatou. An algorithm to compute the exponential part of a formal fundamental matrix solution of a linear differential system. Journal of App. Alg. in Eng. Comm. and Comp., 8(1):1--23, 1997.Google ScholarDigital Library
- M.A. Barkatou, G. Broughton, and E. Pflügel. Regular systems of linear functional equations and applications. In Proceedings of ISSAC '08, pages 15--22, New York, NY, USA, 2008. ACM. Google ScholarDigital Library
- M.A. Barkatou and E. Pflügel. On the equivalence problem of linear differential systems and its application for factoring completely reducible systems. In ISSAC '98, pages 268--275, Rostock, Germany, 1998. ACM. Google ScholarDigital Library
- M.A. Barkatou and E. Pflügel. An algorithm computing the regular formal solutions of a system of linear differential equations. J. Symb. Comput., 28:569--588, 1999. Google ScholarDigital Library
- M.A. Barkatou and E. Pflügel. On the Moser- and super-reduction algorithms of systems of linear differential equations and their complexity. J. Symb. Comput., 44(8):1017--1036, 2009. Google ScholarDigital Library
- E. Pflügel. Effective formal reduction of linear differential systems. J. of Appl. Alg. in Eng. Comm. and Comp., 10(2):153--187, 2000.Google ScholarCross Ref
Index Terms
- ISOLDE: a maple package for systems of linear functional equations
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