Simultaneously row- and column-reduced higher-order linear differential systems

@inproceedings{Barkatou2010SimultaneouslyRA,
title={Simultaneously row- and column-reduced higher-order linear differential systems},
author={M. Barkatou and Carole El Bacha and Eckhard Pfluegel},
booktitle={ISSAC},
year={2010}
}

In this paper, we investigate the local analysis of systems of linear differential-algebraic equations (DAEs) and second-order linear differential systems. In the first part of the paper, we show how one can transform an input linear DAE into a reduced form that allows for the decoupling of the differential and algebraic components of the system. Classification of singularities of linear DAEs are defined and discussed. In the second part of the paper, we extend this approach to second-order… Expand