The inverse of a scalar matrix may be used by using the Inverse function of the BIAS/Profil package or with
void ALIAS_MRINVD(VECTOR &A,VECTOR &B,int N,int *KOD,double *DET,double EPS, INTEGER_VECTOR &IL,INTEGER_VECTOR &IC)where
The inverse of an interval matrix may be defined as the set of matrices corresponding to the inverse of a matrix included in the set defined by the interval matrix. This set cannot usually be computed exactly but a set of matrices guaranteed to include the inverse interval matrix may be computed. The following procedure allows one to compute such overestimation.
int Inverse_Interval_Matrix(int Dim,int cond,INTERVAL_MATRIX &Jac,INTERVAL_MATRIX &InvJac)
where Dim is the dimension of the matrix Jac. The flag cond has to be set to 1 if pre-conditioning is used, 0 otherwise. Pre-conditionning will usually leads to a smaller overestimation but is more computer intensive. This procedures returns 1 if it has been able to compute the inverse, 0 otherwise.
Note that using this procedure should not be used for solving an interval linear system.