create solvers for Dfp based function
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Key: MATH-636
URL: https://issues.apache.org/jira/browse/MATH-636
Project: Commons Math
Issue Type: New Feature
Reporter: Luc Maisonobe
Assignee: Luc Maisonobe
Fix For: 3.0
When validating some regular computations, we often end up doing some
comparison with higher accuracy reference data.
The Dfp package is a wonderful tool for that. This package can already be used
in some of our regular algorithms as it already implements the Field interface.
However, Dfp instances cannot be used in solvers yet.
Setting up solvers that would take Field based function is not possible, as
solvers do need an absolute value method to check convergence, and an ordering
relation for bracketing. However, no such restriction exist for Dfp.
It is very easy to convert some existing solvers to have a Dfp version. As the
main purpose is high accuracy, and as implementing function for Dfp is
cumbersome, a high order method using function values only and no need for
implementing derivatives such as depicted in MATH-635 is a good choice.
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