Gunther Reißig, Wade S. Martinson and Paul I. Barton.
Differential-Algebraic Equations of index 1 may have an arbitrarily high structural index.
SIAM J. Sci. Comput. 21, no. 6, 2000, pp. 1987-1990.
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Full text. (© SIAM; free access.).
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.
BibTeX entry:
  AUTHOR = {Rei{\ss}ig, Gunther and Martinson, Wade S. and Barton, Paul I.},
   TITLE = {Differential-algebraic equations of index 1 may have an arbitrarily high structural index},
 JOURNAL = {SIAM J. Sci. Comput.},
FJOURNAL = {SIAM Journal on Scientific Computing},
  VOLUME = {21},
    YEAR = {2000},
  NUMBER = {6},
   PAGES = {1987--1990 (electronic)},
doi = {10.1137/S1064827599353853}

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