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A.1.7 Cut Steps

The constraint sum should get smaller with each step. If it does not, then see if the is changing. If it is not, then the fit is near a solution, and a directed step should be tried (see Section A.1.8). Otherwise, the step is `cut' by a fraction and retried. That is, instead of stepping to , step to , defined by

or

Also,

Now to find the . At , , the is

 

Define

 

Then,

 

Now, using (A.20), (A.27), (A.26), and (A.25),

Since the step may have to be cut multiple times, note that

 



Scott Snyder Fri May 19 19:19:46 CDT 1995