Title | Differential–Algebraic Equations of Index 1 May Have an Arbitrarily High Structural Index |

Publication Type | Journal Article |

Year of Publication | 2000 |

Authors | Reissig G, Martinson WS, Barton PI |

Journal | SIAM Journal on Scientific Computing |

Volume | 21 |

Pagination | 1987-1990 |

Keywords | differential–algebraic equation, Pantelides’ algorithm, structured index |

Abstract | 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. |

URL | http://link.aip.org/link/?SCE/21/1987/1 |

DOI | 10.1137/S1064827599353853 |

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

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