Problem with solving equation with 'FSOLVE'

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I am solving a system of equations with FSOLVE. I generated starting points with
x0 = rand(2,1);
However, for some x0s, there's an error message saying
Error using trustnleqn (line 28)
Objective function is returning undefined values at initial point. FSOLVE cannot continue.
It seems that for some starting points, the fsolve cannot find solutions.
However, I want FSOLVE to immediately retry with a new random starting point rather than stopping and showing an error message. How can I do that?

Accepted Answer

dpb on 4 Oct 2016
Don't blame fsolve; the issue is you're providing solution points as initial guesses that aren't feasible for the system equations. Better solution would be to ensure the points are feasible before calling fsolve.
But, you can just try the brute-force route of putting the guess and solution calls inside a try...catch block and just keep might just work out ok.
Hongchu Yu
Hongchu Yu on 18 Jun 2019
Hi, Could you share me with the ecoding with try-catch to find feasible initial solution? Thanks a lot.

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More Answers (1)

Jakub Rysanek
Jakub Rysanek on 4 Oct 2016
To me it appears that the initial conditions to your optimization problem must lie within a specific, perhaps bounded, region. For example, you cannot ask what is the zero point of
and start with the initial guess at x=-1, because log(.) function is defined in the positive domain only.
fsolve(), just like many other optimization routines must always start within the feasible region.

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