What Is Optimization Toolbox?

fsolvedogleg method described in [8]. It is similar in nature to the algorithmimplemented in [7].Alternatively, you can select a Gauss-Newton method [3] withline-search, or a Levenberg-Marquardt method [4], [5], and [6]with line-search. The choice of algorithm is made by setting theNonlEqnAlgorithm option to 'dogleg' (default), 'lm', or'gn'.The default line search algorithm for the Levenberg-Marquardtand Gauss-Newton methods, i.e., the LineSearchType optionset to 'quadcubic', is a safeguarded mixed quadratic and cubicpolynomial interpolation and extrapolation method. A safeguardedcubic polynomial method can be selected by setting LineSearchTypeto 'cubicpoly'. This method generally requires fewer functionevaluations but more gradient evaluations. Thus, if gradients are beingsupplied and can be calculated inexpensively, the cubic polynomial linesearch method is preferable. The algorithms used are described fully inChapter 3, “Standard Algorithms”.DiagnosticsMedium and Large-Scale Optimizationfsolve may converge to a nonzero point and give this message:Optimizer is stuck at a minimum that is not a rootTry again with a new starting guessIn this case, runfsolve again with other starting values.Medium-Scale OptimizationFor the trust region dogleg method, fsolve stops if the step size becomestoo small and it can make no more progress. fsolve gives this message:The optimization algorithm can make no further progress:Trust region radius less than 10*epsIn this case, run fsolve again with other starting values.8-120