Nonlinear Curve - Fitting in the L , and LM Norms
نویسندگان
چکیده
In extending the Levenberg-Marquardt L2 method for nonlinear curve-fitting to the ¿j and L^ norms, the following problems arise, but are dealt with successfully: (1) Trial parameters are generated by linear programming, which can be timeconsuming. (2) Trial parameters are not uniquely specified in some cases. (3) There are intervals of the search parameter for which the trial parameters remain constant. (4) In i,, the trial parameters are discontinuous with respect to the search parameter. It is shown that linear constraints on the parameters are easily included in the computations. Finally, some numerical results are presented.
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