fitting vector valued functions

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Bob
Bob 2013-1-14
I see Matlab has many different ways to fit a scalar valued function (for example
z = f(x,y)
but is there anything that can help me fit a vector valued function
[u, v] = f(x,y)
Note that the coefficients to the fit would be multiplied by a vector, in the equation of f. for example, a term could be a*[x y]
This causes an error in the scalar fitting routines because the coefficient 'a' to be found by fitting can only be multiplied by a scalar.

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回答（3 个）

Shashank Prasanna
Shashank Prasanna 2013-1-14
From your questions I appears that you want to perform Multivariate Regression where the response is m dimensional
Y = F(X) where Y belongs to |Rm and x belongs to |Rn You can do this using MVREGRESS:
http://www.mathworks.com/help/stats/mvregress.html#btkr6ds-3
Matt J
Matt J 2013-1-14
LSQCURVEFIT can do multi-variate non-linear fitting.
http://www.mathworks.com/help/optim/ug/lsqcurvefit.html
You need the Optimization Toolbox, of course.
Matt J
Matt J 2013-1-14
编辑：Matt J 2013-1-14
There are also FEX tools like this, which don't require any toolboxes.
http://www.mathworks.com/matlabcentral/fileexchange/10093-fminspleas
It works best when you have only a few nonlinear parameters, though.

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