I see that apache commons has Estimators (aka Solvers, yes?):
EstimatedParameter
GaussNewtonEstimator
LevenbergMarquardtEstimator
SimpleEstimationProblem
WeightedMeasurement

Our mathematician has specified features we will need:
1. Assume non-negative parameters,
2. forward and central derivatives,
3. tangent estimates
4. quadratic estimates,
5. Newton and conjugate search direction

Does apache commons have these capabilities?

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