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Solution tolerances


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