Lsqcurvefit: what is behind?

How lsqcurvefit works?

Lsqcurvefit fits a multi-parameter non-linear function through a single data point using Levenberg-Marquardt algorithm. But for e.g. three parameters I need at least three data points to fit the curve? What is the theory behing this function?

Thank you.

Answer 1

[Matt J]

This link describes the algorithms used by lsqcurvefit and the other least squares optimizers

http://www.mathworks.com/help/optim/ug/least-squares-model-fitting-algorithms.html#brnoycf

BTW, I believe the trust-region method is the default for LSQCURVEFIT, not Levenberg-Marquardt.