Index Determination in DAEs Using the Library indexdet and the ADOL–C Package for Algorithmic Differentiation

Summary. We deal with differential algebraic equations (DAEs) with properly stated lead-ing terms. The calculation of the index of these systems is based on a matrix sequence with suitably chosen projectors. A new algorithm based on matrices of Taylor polynomials for re-alizing the matrix sequence and computing the index is introduced. Derivatives are computed using algorithmic differentiation tools. Key words: Differential algebraic equations, tractability index, ADOL-C