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High-performance and differentiation-enabled nonlinear solvers (Newton methods), bracketed rootfinding (bisection, Falsi), with sparsity and Newton-Krylov support.

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This package does a more or less exhaustive combination of problems, algorithms and element types https://github.com/SciML/NonlinearSolve.jl/blob/d434b8d48086fa799ea344694c90a997dae22d48/src/NonlinearSolve.jl#L96-L98 https://github.com/SciML/NonlinearSolve.jl/blob/d434b8d48086fa799ea344694c90a997dae22d48/src/NonlinearSolve.jl#L137-L144 A total of 104 combinations of problems and algorithms are compiled in total....

bug

In the documentation about code optimization there is a section about making code non-allocating when using `Array` (not `SArray`), [click](https://docs.sciml.ai/NonlinearSolve/stable/tutorials/code_optimization/) here. However I cannot spot any qualitative difference between the...

Seeing Optimization.jl attempt to use DI, it seems like we have most of the features in place. We might be able to drop a lot of unnecessary code my making...

As pointed out by @oscardssmith, it would be good to store a centralized stats in the cache and update references to it instead of adding up the stats at the...

Trying to solve the following `IntervalNonlinearProblem`: ```julia f(t,p) = sin(t) - 10.0 prob = IntervalNonlinearProblem(f, [0.0, 2pi]) sol = solve(prob, ITP()) ```` gives a `FloatingPointLimit` return code and the solution...

This is a duplicate from [here](https://discourse.julialang.org/t/does-nonlinearsolve-use-the-analytical-jacobian/116508), but I thought it might be better to ask here in GitHub. This question came up when I did some tests related to this...

bug

I am trying to implement a shooting method using a NonlinearProblem. An ODEProblem is passed as a parameter to the NonlinearProblem (to avoid recreating a new ODEProblem at each iteration),...

bug

I am trying to use Enzyme to differentiate a function which builds and solves a NonlinearProblem. I believ the issue is with the enzyme extension which is why I'm opening...

enhancement

I wanted to find the partial double and mixed derivatives of the variables c1_length, c2_length, c3_length with respect to the variables px and py. The first order derivatives of the...

This pull request changes the compat entry for the `MINPACK` package from `=1.2` to `=1.2, 1`. This keeps the compat entries for earlier versions. Note: I have not tested your...