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Which algorithm is used when we do not use the option Method of FindMinimum[] function.

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closed as off-topic by J. M. Aug 20 at 19:54

This question appears to be off-topic. The users who voted to close gave this specific reason:

  • "This question arises due to a simple mistake such as a trivial syntax error, incorrect capitalization, spelling mistake, or other typographical error and is unlikely to help any future visitors, or else it is easily found in the documentation." – J. M.
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1 Answer 1

Please, try to use the documentation search or google before posting such elementary questions. Have you at least tried? The information you want can be found in the documentation center

  • With Method->Automatic and two starting values, FindMinimum uses Brent's principal axis method. With one starting value for each variable, FindMinimum uses BFGS quasi-Newton methods, with a limited memory variant for large systems.

  • If the function to be minimized is a sum of squares, FindMinimum uses the Levenberg-Marquardt method (Method->"LevenbergMarquardt").

  • With constraints, FindMinimum uses interior point methods.

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Indeed when one types "FindMinimum implementation" in the search bar it is the second hit for me. But perhaps they should have added a link to the implementation docs in the main entry. – Sjoerd C. de Vries Oct 23 '13 at 5:48

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