lsqnonlin doesn't work in my case

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21did21 2011-11-3

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https://ww2.mathworks.cn/matlabcentral/answers/20286-lsqnonlin-doesn-t-work-in-my-case

dear all,

i have a function "calculs" which have in input a vector of parameters [a,b,c] and in output a residu vector like [1e-9 5e-8 1e-7 5e-4 0.001]

i want to minimize this residu vector, so i use lsqnonlin like this:

A=0.21;
B=5100;
C=-0.07;
parameters=[A B C];
lb=[0.13 3500 -1.5];
ub=[2.6 8000 5];
options = optimset('Display','iter','MaxIter',40,'TolX',1e-10,'TolFun',1e-10)
[x,resnorm] = lsqnonlin(@calculs,parameters,lb,ub,options);

when i run this "lsqnonlin" do just 1 iteration and give this "resnorm" without minimization: 0.000757

and the output in matlab is:

Optimization completed: The final point is the initial point.
The first-order optimality measure, 0.000000e+000, is less than
options.TolFun = 1.000000e-008.
Optimization Metric                                   Options
relative first-order optimality =  0.00e+000         TolFun =  1e-008 (selected)