BracketingNthOrderBrentSolver exceeds maxIterationCount while updating always
the same boundary
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Key: MATH-716
URL: https://issues.apache.org/jira/browse/MATH-716
Project: Commons Math
Issue Type: Bug
Affects Versions: 3.0
Reporter: Pascal Parraud
Priority: Minor
In some cases, the aging feature in BracketingNthOrderBrentSolver fails.
It attempts to balance the bracketing points by targeting a non-zero value
instead of the real root. However, the chosen target is too close too zero, and
the inverse polynomial approximation is always on the same side, thus always
updates the same bracket.
In the real used case for a large program, I had a bracket point xA = 12500.0,
yA = 3.7e-16, agingA = 0, which is the (really good) estimate of the zero on
one side of the root and xB = 12500.03, yB = -7.0e-5, agingB = 97. This shows
that the bracketing interval is completely unbalanced, and we never succeed to
rebalance it as we always updates (xA, yA) and never updates (xB, yB).
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