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Effective Formal Reduction of Linear Differential Systems

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Applicable Algebra in Engineering, Communication and Computing Aims and scope

Abstract.

In this paper we present a new method for the formal reduction of linear differential systems. We generalize classical results and concepts and obtain new characterizations of existing notions. Our main result is a generalization of the classical Splitting Lemma. This leads to an algorithm for computing formal invariants and solutions in a more efficient way.

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Authors and Affiliations

  1. LMC-IMAG, 9 Rue des Mathématiques, B.P. 53, 38041 Grenoble Cedex 9, France, , , , , , FR

    Eckhard Pflügel

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  1. Eckhard Pflügel
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Received: March 9, 1999; revised version: September 2, 1999

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Pflügel, E. Effective Formal Reduction of Linear Differential Systems. AAECC 10, 153–187 (2000). https://doi.org/10.1007/s002000050002

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  • DOI: https://doi.org/10.1007/s002000050002

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