| 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., W. S. Martinson, and P. I. Barton |
| 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 |