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**inverse condition of Jacobian:**
- A solution is considered as singular when the inverse
of the condition number
of the Jacobian matrix is lower than the given threshold value.
Otherwise, the solution is declared to be regular.
**clustering of solutions:**
- Two solutions are considered as clustered when the distance
between all corresponding components is lower than the given
threshold value.
**solution at infinity:**
- A solution is considered to diverge to infinity when its norm
exceeds the given threshold value, in case of affine coordinates,
or, in case of projective coordinates, when the added coordinate
becomes lower than the inverse of the threshold value.
Continuation for the path being followed stops when it
diverges to infinity.

*Jan Verschelde*

*3/7/1999*