A few more Robmin details

1.   The matrices are scaled to be on the order of 1.

2.   A bracketing version of Newton's method is used to solve for the lambda which predicts the ratio .  This must be found nearly exactly since at the beginning of the minimization it is not unusual to have .  In the event that the bracketing is all on one side Aitkin's extrapolation is used to speed the convergence.

3.   On an unsuccessful minimization
On every third unsuccessful minimization the Si's are recalculated.

4.   On a successful minimization 
In addition