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Nonlinear Optimization in Octave
The fsolve function in Octave, or the Matlab
Optimization Toolbox, attempts to solve unconstrained,
overdetermined, nonlinearsystems of equations.
The Octave function sqp handles constrained nonlinear
optimization.
The Octave optim package includes many additional
functions such as leasqr for performing Levenberg-Marquardt
nonlinear regression. (Say, e.g., which leasqr and explore
its directory.)
The Matlab Optimization Toolbox similarly contains many
functions for optimization.