Index determination and calculationof consistent initial values for DAEs

The definition of the index of DAEs with properly stated leading term is based on a matrix sequence with suitably chosen projectors. A possible way of determining of this matrix sequence is presented; it includes the calculation of suitable projectors using generalized inverses. With the help of the matrix sequence elements (matrices, projectors) we calculate consistent initial values for DAEs up to index 2 by describing the hidden constraint. Examples are given.