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NonlinearSolve.jl is a suite of high-performance and robust solvers for systems of nonlinear equations in Julia. It offers a unified API, automatic algorithm selection, support for GPU-accelerated computation, and utilizes sparse automatic differentiation and Jacobian-free Krylov methods. NonlinearSolve.jl demonstrates unparalleled robustness and efficiency compared to established tools like Sundials and MINPACK.

[2403.16341] NonlinearSolve.jl: High-Performance and Robust Solvers for Systems of Nonlinear Equations in Julia