How do I add "internal" upper and lower bounds to the function lsqcurvefit?

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Warren Boschen 2022-9-15

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编辑： Torsten 2022-9-16

Hello everyone,

I'm having trouble understanding the documentation for the function lsqcurvefit, and in particular the sections discussing the upper and lower bounds of the minimization. I have the sample data E' and an equation for the simulated data E, and the minimization would look as such:

Notably,

. How would I use lb and ub to specify that this condition must hold, in addition to setting lb = 0 and ub =

for the whole minimization? Would this function even work in my case because I have more than one parameter which needs to be fit?

Thank you,

Warren

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Answer 1

Torsten 2022-9-15

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The condition lambda_1 <= lambda_2 has to be set in A,b of the mimimizer "fmincon".

"lsqcurvefit" is not suited in this case.

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Warren Boschen 2022-9-16

It seems as though fmincon requires that only one parameter be minimized, whereas I would like to have both lambda_1 and lambda_2 be minimized simultaneously under the condition that lambda_1 <= lambda_2. How would I account for that using fmincon?