Lsqcurvefit: what is behind?

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Karel
Karel 2013-5-29
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.

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Matt J
Matt J 2013-5-29
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.

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