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TitleOn simultaneous row and column reduction of higher-order linear differential systems
Author(s) Carole El Bacha, M.A. Barkatou, George Labahn, Eckhard Pflügel
TypeArticle in Journal
AbstractIn this paper, we define simultaneously row and column reduced forms of higher-order linear differential systems with power series coefficients and give two algorithms, along with their complexities, for their computation. We show how the simultaneously row and column reduced form can be used to transform a given higher-order input system into a first-order system. Finally, we show that the algorithm can be used to compute Two-Sided Block Popov forms as given in Barkatou et al. (2010). These results extend the previous work in Barkatou et al. (2010), on second-order systems, and Harris et al. (1968), on first-order systems, to systems of arbitrary order.
KeywordsLinear differential systems, Higher-order systems, Popov forms, Row reduction, Column reduction
URL http://www.sciencedirect.com/science/article/pii/S0747717111002094
JournalJournal of Symbolic Computation
Pages45 - 64
NoteThe International Symposium on Symbolic and Algebraic Computation
Translation No
Refereed No