I really like the NLsolve.jl package in conjunction with LineSearches.jl - great stuff! I have a scalar, relatively simple nonlinear equation that I can solve using res = nlsolve(gamma -> f(gamma[1], bla, bla, bla), gamma -> j(gamma[1], bla, bla, bla), [gamma], method =…

If you use NonlinearSolve.jl there are a couple of options: Use SimpleNonlinearSolve Code Optimization for Small Nonlinear Systems in Julia · NonlinearSolve.jl that will pretty much outperform most solvers for scalar/static arrays problems Use the caching interface of cache = init(....) and inside…

Thanks for your swift response! Does NonlinearSolve.jl also support LineSearches? These are quite vital to speed up the Newton procedure.

Yes. You can use any LineSearches algorithm via LineSearches.jl · LineSearch.jl . There’s also Native Functionalities · LineSearch.jl

Okay, one more thing: It seems to be not as trivial to set the Jacobian by hand (I cannot resort to AD). I found this post but unfortunately NonlinearSolve.jl still tries to compute the Jacobian using AD.

NonlinearFunction(f; jac = ...)

Newton + LineSearch in Hot Loop: Reduce allocations

Specific Domains Numerics

DanDoe November 14, 2024, 8:08am 7

Xref: NonlinearSolve uses AD Jacobian even when I specify it analytically - #3 by DanDoe

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Newton + LineSearch in Hot Loop: Reduce allocations

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