[Duplicate] Brent minimization seems to be duplicated within FSharp.Stats

[bvenn]

There is FSharp.Stats.Optimization.Brent and FSharp.Stats.Rootfinding.Brent, both without proper documentation.

• clarify if methods are compatible
• decide for more performant version and put it in Optimization namespace
• add documentation

[github-actions]

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I investigated the two Brent implementations to help clarify the path forward.

They are not true duplicates — they solve different mathematical problems:

• FSharp.Stats.Rootfinding.Brent (RootFinding/Brent.fs, ~118 lines): Finds a root of f(x) (i.e., where f(x) = 0) using bracket-and-converge with inverse quadratic interpolation + bisection fallback. Classic Brent's root-finding algorithm.

• FSharp.Stats.Optimization.Brent (Optimization/BrentExt.fs, ~180 lines): Finds a minimum of f(x) using golden-section search + parabolic interpolation. This is Brent's minimization algorithm (sometimes called "Brent's method for function minimization").

Both are legitimately named "Brent" because Richard Brent described both algorithms, but they serve distinct purposes and cannot replace each other.

Suggested actions (matching the issue checklist):

1. ✅ Methods are not compatible — root-finding ≠ minimization. No consolidation needed.
2. The title "Duplicate" is a misnomer; the issue is really about missing documentation and potential namespace cleanup.
3. Add XML doc summaries to both modules clarifying their purpose (root-finding vs. minimization).
4. The Optimization.Brent could be moved alongside other root/optimization utilities if the namespace organization is revisited.

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[bvenn]

/repo-assist Could you please include XML documentation explaining the functions and their purpose

[github-actions]

✗ Repo Assist encountered failed at {run-ended}.