Differential-Algebraic Equations of Index 1 May Have an Arbitrarily High Structural Index

@article{Reissig2000DifferentialAlgebraicEO,
  title={Differential-Algebraic Equations of Index 1 May Have an Arbitrarily High Structural Index},
  author={Gunther Reissig and Wade S. Martinson and Paul I. Barton},
  journal={SIAM J. Scientific Computing},
  year={2000},
  volume={21},
  pages={1987-1990}
}
It is shown that the structural index of a linear differential–algebraic equation (DAE) with constant coefficients and with index 1 may be arbitrarily high, contrary to a previous result from the literature. This demonstrates that Pantelides’ algorithm applied to DAEs of index 1 may perform an arbitrarily high number of iterations and differentiations. 

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