Christoph Höger created MATH-993:
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             Summary: GaussNewtonOptimizer convergence on singularity
                 Key: MATH-993
                 URL: https://issues.apache.org/jira/browse/MATH-993
             Project: Commons Math
          Issue Type: Bug
    Affects Versions: 3.2
            Reporter: Christoph Höger
            Priority: Minor


I am (ab-)using the GaussNewtonOptimizer as a MultivariateFunctionSolver (as I 
could not find one in commons.math). Recently I stumbled upon an interesting 
behavior in one of my test cases: If a function is defined in a way that yields 
a minimum (a root in my case) at a singular point, the solver crashes. This is 
because of the following lines in doOptimize():

catch (SingularMatrixException e) {
                throw new 
ConvergenceException(LocalizedFormats.UNABLE_TO_SOLVE_SINGULAR_PROBLEM);
            }

I would propose to add a convergence check into the catch-phrase, so the solver 
returns the solution in that special case.

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