MATLAB: Outputs from lsqlin parameter estimation

lsqlinOptimization Toolbox

Hi
I am working on using 'lsqlin' for fitting my 3 parameters (a set of 3) in my model.
This is the command I used: k=lsqlin(stackedmatrix{:},ftderivativesofP,LB,UB)
Where k is output to store my estimated parameters. each of stackedmatrix{index} contains a square matrix (3X3) where index=1 to 189.
ftderivativesofP is a column vector (no.of rows=189). LB variable for setting lower bounds, I did: LB=0.00001*ones(3,1)
and UB for upper bounds. set as : UB=100000*ones(3,1)
Output I am getting is the following, with a bunch of warning messages:
Warning: Length of lower bounds is > length(x); ignoring extra bounds. > In checkbounds at 28 In lsqlin at 236 Warning: Length of upper bounds is > length(x); ignoring extra bounds. > In checkbounds at 42 In lsqlin at 236 Exiting due to infeasibility: 1 lower bound exceeds the corresponding upper bound.
k =
   1.0e+03 *
   -9.9275
   -9.9275
    9.9275
         0
    0.9996
    0.9996
   -0.9996
         0
         0
         0
   -0.0004
    0.0004
(My main) Question is : Why am I getting 12 estimated values, as there are only 3 parameters to be estimated.
Also, any guidance for the reasoning behind these warning messages would be helpful for me.
Thanks in advance

Best Answer

You seem to be disregarding the documentation as to which order the input arguments are to be given in. If you look again at "doc lsqlin" you will see that LB and UB are supposed to be the 7th and 8th inputs, not the 3rd and 4th.
Aside from that
 lsqlin(stackedmatrix{:},arg1,arg2,...)
is equivalent to typing
 lsqlin(stackedmatrix{1}, stackedmatrix{2}, stackedmatrix{3},...,stackedmatrix{end}, arg1, arg2,...)
If this is really what you are doing, no doubt it is contributing to the problem.
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