SciML/NonlinearSolve.jl

View on GitHub

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

Stars: 309
Forks: 77
Open beginner issues: 0
Indexed issues: 58
Avg merge: 13h 31m
Merged PRs (30d): 95

Dominant language: Julia
License: MIT
Last GitHub push: Sep 17, 2026
Latest indexed: Sep 19, 2026
Contributing guide: Contributing guide
Code of conduct: Code of conduct
Beginner labels: good first issue

Beginner friendly Everything

Open All

58 open issues indexed

Bounded LevenbergMarquardt with AutoEnzyme stalls at the initial point Open

Difficulty 4/5 3-5 days Newbie friendliness 55/100

SciML/NonlinearSolve.jl#1288 · Opened Sep 14, 2026
Broyden/Klement on a Dual-valued NonlinearProblem: partials grow unboundedly while only value residuals are checked for convergence Open

Difficulty 5/5 Over a week Newbie friendliness 38/100

SciML/NonlinearSolve.jl#1283 · Opened Sep 14, 2026
Move the bounded finite-difference Jacobian stencil upstream to FiniteDiff.jl / DI Open

Difficulty 5/5 Over a week Newbie friendliness 38/100

SciML/NonlinearSolve.jl#1274 · Opened Sep 13, 2026
Bounded defaults fail for mixed scalar and array state/residual shapes Open

Difficulty 4/5 3-5 days Newbie friendliness 52/100

SciML/NonlinearSolve.jl#1270 · Opened Sep 13, 2026
Roadmap for native box-constrained nonlinear and least-squares solvers Open

enhancement new-algorithm

Difficulty 5/5 Over a week Newbie friendliness 30/100

SciML/NonlinearSolve.jl#1254 · Opened Sep 12, 2026
JacobianReuse default should key off Jacobian cost, not length(u0) Open

Difficulty 5/5 Over a week Newbie friendliness 35/100

SciML/NonlinearSolve.jl#1216 · Opened Aug 29, 2026
construct_extension_jac is broken for scalar and non-vector u0 with an explicit ADTypes backend Open

Difficulty 4/5 3-5 days Newbie friendliness 68/100

SciML/NonlinearSolve.jl#1215 · Opened Aug 29, 2026
EisenstatWalkerForcing2 adapts from a two-iteration-stale residual ratio Open

Difficulty 4/5 3-5 days Newbie friendliness 52/100

SciML/NonlinearSolve.jl#1170 · Opened Aug 15, 2026
SimpleHomotopySweep AllocCheck fails on clean master with current registry Open

Difficulty 4/5 3-5 days Newbie friendliness 35/100

SciML/NonlinearSolve.jl#1161 · 2 comments · Opened Aug 13, 2026
True-Jacobian Broyden Wood test regressed on macOS with LinearSolve 5.7 Open

Difficulty 4/5 3-5 days Newbie friendliness 48/100

SciML/NonlinearSolve.jl#1158 · 3 comments · Opened Aug 11, 2026
NonlinearSolve master cannot resolve until new sublibrary versions are registered Open

Difficulty 3/5 1-2 days Newbie friendliness 55/100

SciML/NonlinearSolve.jl#1155 · 1 comment · Opened Aug 11, 2026
Julia 1.10 downstream resolution fails against unreleased sublibrary compat floors Open

Difficulty 4/5 3-5 days Newbie friendliness 48/100

SciML/NonlinearSolve.jl#1154 · Opened Aug 10, 2026
LevenbergMarquardt init crashes with a SciMLOperator jac_prototype: vcat in DampedNewtonDescent builds Matrix{Any} Open

Difficulty 4/5 3-5 days Newbie friendliness 58/100

SciML/NonlinearSolve.jl#1132 · Opened Jul 30, 2026
Watson true-Jacobian Broyden is OpenBLAS-kernel sensitive after #1039 Open

bug

Difficulty 4/5 3-5 days Newbie friendliness 45/100

SciML/NonlinearSolve.jl#1078 · Opened Jul 15, 2026
NLSHC all-roots test flakes when HC drops randomized paths Open

Difficulty 5/5 Over a week Newbie friendliness 35/100

SciML/NonlinearSolve.jl#1064 · Opened Jul 13, 2026
Homotopy cache drivers fail on scalar (Number) states; SimpleHomotopySweep works Open

Difficulty 4/5 3-5 days Newbie friendliness 55/100

SciML/NonlinearSolve.jl#1037 · Opened Jul 11, 2026
Sublibrary QA fails Aqua stale_deps/deps_compat on Julia lts when [sources] reaches the umbrella root Open

Difficulty 4/5 3-5 days Newbie friendliness 48/100

SciML/NonlinearSolve.jl#971 · Opened Jun 13, 2026
format-check failing on master since #961: sublibrary test/runtests.jl not Runic-formatted Open

Difficulty 1/5 Under an hour Newbie friendliness 78/100

SciML/NonlinearSolve.jl#969 · Opened Jun 12, 2026
Docs build: new unresolvable @ref to SciMLBase.HomotopyProblem from HomotopySweep docstring (#962) Open

Difficulty 1/5 Under an hour Newbie friendliness 76/100

SciML/NonlinearSolve.jl#968 · 1 comment · Opened Jun 12, 2026
Per-variable model-informed trust region bounds (à la Wang & Tchelepi) Open

Difficulty 5/5 Over a week Newbie friendliness 35/100

SciML/NonlinearSolve.jl#911 · Opened Apr 14, 2026
`solve(::NonlinearLeastSquaredProblem, ::LevenbergMarquardt(; linsolve=CholeskyFactorization())` by setting `J_cache::SMatrix` to integer Open

bug

Difficulty 3/5 1-2 days Newbie friendliness 45/100

SciML/NonlinearSolve.jl#817 · Opened Feb 15, 2026
Pre (Julia 1.13) tests failing due to ReTestItems ScopedValues incompatibility Open

Difficulty 4/5 3-5 days Newbie friendliness 45/100

SciML/NonlinearSolve.jl#776 · Opened Jan 11, 2026
Downgrade tests failing due to Resolver.jl incompatibility with [sources] Open

Difficulty 4/5 3-5 days Newbie friendliness 25/100

SciML/NonlinearSolve.jl#774 · Opened Jan 11, 2026
Nonlinear least squares CuArrays support for arbitrary residual shape Open

bug

Difficulty 4/5 3-5 days Newbie friendliness 45/100

SciML/NonlinearSolve.jl#746 · Opened Dec 13, 2025
Interface for combined residual and Jacobian evaluations Open

Difficulty 4/5 3-5 days Newbie friendliness 45/100

SciML/NonlinearSolve.jl#743 · Opened Nov 28, 2025
Optimized derivative-based and -free form of the Potra–Pták method for scalar nonlinear equations Open

Difficulty 5/5 Over a week Newbie friendliness 25/100

SciML/NonlinearSolve.jl#735 · Opened Nov 14, 2025
User-defined Traces Open

Difficulty 5/5 Over a week Newbie friendliness 30/100

SciML/NonlinearSolve.jl#715 · Opened Oct 9, 2025
Proper error message for "Simple" implementations Open

Difficulty 3/5 1-2 days Newbie friendliness 35/100

SciML/NonlinearSolve.jl#712 · Opened Oct 6, 2025
Allow to return complex roots on NonlinearSolveHomotopyContinuation Open

Difficulty 2/5 1-3 hours Newbie friendliness 52/100

SciML/NonlinearSolve.jl#688 · Opened Aug 29, 2025
Solving nonlinear problem on Metal GPU crashes Julia session Open

bug

Difficulty 4/5 3-5 days Newbie friendliness 35/100

SciML/NonlinearSolve.jl#682 · Opened Aug 19, 2025
Varying length of residuals in NonlinearLeastSquaresProblem Open

Difficulty 5/5 Over a week Newbie friendliness 35/100

SciML/NonlinearSolve.jl#650 · Opened Jul 28, 2025
LinearSolve keyword arguments aren't applied to cache Open

bug

SciML/NonlinearSolve.jl#636 · 1 assignee · Opened Jul 10, 2025
StackOverflowError when solving a NonlinearProblem with Interval Bracketing Solver Open

bug

SciML/NonlinearSolve.jl#631 · 1 comment · 1 assignee · Opened Jun 11, 2025
Regularized nonlinear least squares Open

Difficulty 5/5 Over a week Newbie friendliness 15/100

SciML/NonlinearSolve.jl#629 · 1 comment · Opened Jun 3, 2025
Autodifferentiation with FFT and Enzyme? Open

question

Difficulty 5/5 Over a week Newbie friendliness 25/100

SciML/NonlinearSolve.jl#597 · 5 comments · Opened May 5, 2025
Possibly incorrect tolerance in NLsolve Open

bug

Difficulty 3/5 1-2 days Newbie friendliness 52/100

SciML/NonlinearSolve.jl#593 · 4 comments · Opened Apr 29, 2025
`Klement` is not robust to reordering residuals Open

bug

SciML/NonlinearSolve.jl#586 · 1 comment · 1 assignee · Opened Apr 24, 2025
GaussNewton algorithm fails with sparse Jacobian Open

bug

SciML/NonlinearSolve.jl#535 · 1 comment · 1 assignee · Opened Feb 27, 2025
`solve` fails when passed vectorial tolerances. Open

enhancement

Difficulty 3/5 1-2 days Newbie friendliness 45/100

SciML/NonlinearSolve.jl#525 · 1 comment · Opened Jan 13, 2025
Wrapper for Trillinos NOX Open

enhancement

Difficulty 5/5 Over a week Newbie friendliness 25/100

SciML/NonlinearSolve.jl#484 · Opened Oct 31, 2024
Allow the use of a combined function + Jacobian Open

Difficulty 4/5 3-5 days Newbie friendliness 45/100

SciML/NonlinearSolve.jl#475 · 2 comments · 1 reaction · Opened Oct 7, 2024
Wrap Enlsip.jl for nonlinear least squares Open

Difficulty 4/5 3-5 days Newbie friendliness 25/100

SciML/NonlinearSolve.jl#433 · Opened May 23, 2024
Implicit Function Adjoint Rules for Enzyme Open

enhancement

Difficulty 4/5 3-5 days Newbie friendliness 35/100

SciML/NonlinearSolve.jl#439 · 23 comments · Opened May 23, 2024
Add autoscaling for trust region Open

Difficulty 5/5 Over a week Newbie friendliness 25/100

SciML/NonlinearSolve.jl#425 · 4 comments · Opened May 14, 2024
Trust Region Reflective Algorithm Open

Difficulty 5/5 Over a week Newbie friendliness 25/100

SciML/NonlinearSolve.jl#419 · 1 comment · Opened May 1, 2024
The precompilation of this package is likely excessive and not very useful Open

bug

Difficulty 4/5 3-5 days Newbie friendliness 35/100

SciML/NonlinearSolve.jl#417 · Opened Apr 30, 2024
Code optimization documentation Open

Difficulty 2/5 1-3 hours Newbie friendliness 35/100

SciML/NonlinearSolve.jl#416 · 1 comment · Opened Apr 29, 2024
Adding capabilities of Roots.jl and HomotopyContinuation.jl with NonlinearSolve.jl Open

Difficulty 5/5 Over a week Newbie friendliness 20/100

SciML/NonlinearSolve.jl#396 · 1 comment · Opened Mar 27, 2024
W4 method Open

good first issue

Difficulty 5/5 Over a week Newbie friendliness 15/100

SciML/NonlinearSolve.jl#389 · Opened Mar 3, 2024
Limited Memory Broyden Rank Reduction Open

enhancement good first issue new-algorithm

Difficulty 5/5 Over a week Newbie friendliness 25/100

SciML/NonlinearSolve.jl#349 · Opened Jan 6, 2024

SciML/NonlinearSolve.jl

Get new issues in your inbox