Add support for JFNK

[codecov[bot]]

Codecov Report

Merging #201 (c006772) into master (e93fc58) will increase coverage by 0.67%. The diff coverage is 100.00%.

@@            Coverage Diff             @@
##           master     #201      +/-   ##
==========================================
+ Coverage   93.75%   94.42%   +0.67%     
==========================================
  Files           7        7              
  Lines         720      699      -21     
==========================================
- Hits          675      660      -15     
+ Misses         45       39       -6     

Files Changed	Coverage Δ
src/NonlinearSolve.jl	100.00% <ø> (ø)
src/levenberg.jl	95.71% <ø> (-0.37%)	:arrow_down:
src/raphson.jl	97.10% <ø> (-0.52%)	:arrow_down:
src/trustRegion.jl	96.81% <ø> (-0.14%)	:arrow_down:
src/utils.jl	81.42% <ø> (+7.14%)	:arrow_up:
src/jacobian.jl	90.81% <100.00%> (+3.63%)	:arrow_up:

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[avik-pal]

Ok definitely broke something :sweat:

[avik-pal]

@ChrisRackauckas can you rerun the integration test, it somehow got cancelled https://github.com/SciML/NonlinearSolve.jl/actions/runs/5941975798/job/16113962425?pr=201#step:6:1070

[ChrisRackauckas]

I think it's fine.