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Timeline for Finding the minimum of a function

Current License: CC BY-SA 3.0

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Aug 9, 2014 at 16:48 comment added Bob Hanlon @11drsnuggles11 - functions can have many local minima (particularly if region is not limited); starting search near minimum will help converge on the desired solution. If you don't use higher WP in original problem you receive warning: "The line search decreased the step size to within the tolerance specified by AccuracyGoal and PrecisionGoal but was unable to find a sufficient decrease in the function. You may need more than MachinePrecision digits of working precision to meet these tolerances." 25 was lowest WP to eliminate warning. Whenever possible, add bounds (region) to aid in search.
Aug 9, 2014 at 16:16 comment added 11drsnuggles11 Thanks for your answere, Bob Hanlon. I edited my Question, i hope your questions are answered. Could you please comment on why i should use tables of values to get initial search values for n1 and n2? When i plot the phase diagrams n1 and n2 vary from 0-8. I'm not sure that i understand your proposal. How do you see that "higher working precision is required" ?
Aug 9, 2014 at 13:36 history answered Bob Hanlon CC BY-SA 3.0