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https://issues.apache.org/jira/browse/MATH-871?page=com.atlassian.jira.plugin.system.issuetabpanels:comment-tabpanel&focusedCommentId=13466661#comment-13466661
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Dennis Hendriks commented on MATH-871:
--------------------------------------

bq. final double x = x1 - ((f1 * (x1 - x0)) / (f1 - f0));

BaseSecantSolver (used for IllinoisSolver, PegasusSolver, and 
RegulaFalsiSolver), has the same line of code, at line 162 (CM 3.0 release).
                
> math3 SecantSolver can return Double.INFINITE
> ---------------------------------------------
>
>                 Key: MATH-871
>                 URL: https://issues.apache.org/jira/browse/MATH-871
>             Project: Commons Math
>          Issue Type: Bug
>    Affects Versions: 3.0
>            Reporter: Anthony Maidment
>            Priority: Minor
>
> In SecantSolver.doSolve(), I had a situation in which f0 and f1, from 
> computeObjectiveValue() on lines 77 & 78, were the same value.
> Then when it calculates the next appromixation at line 101:
> final double x = x1 - ((f1 * (x1 - x0)) / (f1 - f0));
> The denominator is then zero, and the next approximation is Double.INFINITE.
> I was able to work around this in this particular instance by relaxing the 
> accuracy requirements of the solver, although I haven't yet fully tested the 
> downstream implications of this change.

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