nlsLM
(Package: minpack.lm) :
Standard 'nls' framework that uses 'nls.lm' for fitting
nlsLM is a modified version of nls that uses nls.lm for fitting. Since an object of class 'nls' is returned, all generic functions such as anova, coef, confint, deviance, df.residual, fitted, formula, logLik, predict, print, profile, residuals, summary, update, vcov and weights are applicable.
nls.lm
(Package: minpack.lm) :
Addresses NLS problems with the Levenberg-Marquardt algorithm
The purpose of nls.lm is to minimize the sum square of the vector returned by the function fn, by a modification of the Levenberg-Marquardt algorithm. The user may also provide a function jac which calculates the Jacobian.