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\iteman{io-port 05905257}
\itemau{Barkatou, Moulay A.; Broughton, Gary; Pfl\"ugel, Eckhard}
\itemti{A monomial-by-monomial method for computing regular solutions of systems of pseudo-linear equations.}
\itemso{Math. Comput. Sci. 4, No. 2-3, 267-288 (2010).}
\itemab
Summary: This paper deals with the local analysis of systems of pseudo-linear equations. We define regular solutions and use this as a unifying theoretical framework for discussing the structure and existence of regular solutions of various systems of linear functional equations. We then give a generic and flexible algorithm for the computation of a basis of regular solutions. We have implemented this algorithm in the computer algebra system Maple in order to provide novel functionality for solving systems of linear differential, difference and $q$-difference equations given in various input formats.
\itemrv{~}
\itemcc{}
\itemut{computer algebra; local systems of pseudo-linear equations; linear functional equations; linear difference systems; linear differential systems; linear $q$-difference systems; regular solutions; Moser-reduction; super-reduction; generalised splitting lemma}
\itemli{doi:10.1007/s11786-010-0056-z}
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