Abstract
This paper studies the effect of perturbations in the system matrices of linear Differential Algebraic Equations (DAE) onto the solutions. It turns out that these may result in a more complicated perturbation pattern for higher index problems than in the case for (standard) additive perturbations. We give an analysis here for linear index-1 and index-2 problems, which, however, has clear ramifications in nonlinear problems (e.g., via the Newton process). This analysis is sustained by a number of examples.
Original language | English |
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Pages (from-to) | 159-171 |
Number of pages | 13 |
Journal | Numerical Algorithms |
Volume | 19 |
Issue number | 1-4 |
DOIs | |
Publication status | Published - 1998 |