Least squares assuming functional form of the solution

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I am trying to solve the following least squares problem:
$$b(\alpha)=A(\alpha,\beta)x(\beta)$$
However, the solution I get is really bad. That's why I am trying to use an alternative approach, which is to assume the functional form of $x(\beta)$ through the use of tunable parameters, say $x(\beta, a, c)$. How can I solve this problem in MATLAB for a least squares solution for those parameters?
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dpb
dpb 2018-8-6
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