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https://issues.apache.org/jira/browse/MATH-635?page=com.atlassian.jira.plugin.system.issuetabpanels:all-tabpanel
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Luc Maisonobe resolved MATH-635.
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Resolution: Fixed
Fixed in subversion repository as of r1152276.
> High order Brent-like bracketing solver
> ---------------------------------------
>
> Key: MATH-635
> URL: https://issues.apache.org/jira/browse/MATH-635
> Project: Commons Math
> Issue Type: New Feature
> Reporter: Luc Maisonobe
> Assignee: Luc Maisonobe
> Fix For: 3.0
>
>
> The new bracketing solvers greatly improve usage. Unfortunately, for now
> there are only secant-based bracketing solvers available, and a wrapper which
> basically ends by adding a few secant steps to regular non-bracketing solvers.
> Changing the Brent solver to provide bracket selection on the final result
> would depart from the standard algorithm, which is a wrong move (see MATH-599
> for a similar case recently resolved).
> It would be nice to set up another solver in the same spirit as Brent (i.e.
> using inverse polynomial interpolation when possible and falling back to
> dichotomy) while retaining bracketing. A nice and simple improvement is also
> to use higher order inverse polynomial interpolation by retaining several
> previous points. This allows to build a solver that have an higher order than
> Newton for example but still only needs function values and no derivatives at
> all.
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