Optimization for Models Linear in the Parameters

The general structure of models linear in the parameters is easily derived from (3.11) by considering the vector y of measured variables and by posing, for m = 1. Nm and p = 1. iVp, 

The optimal value of the parameter vector, 6, is given by the solution of the following system of equations  

The solution of (3.31) can be obtained by multiplying both sides by the inverse of r, namely 

Of course, similar but simpler expressions are obtained when using the objective function (3.24) and, in particular, for univariate problems. It is worth noticing that 

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