How can I use NonlinearSolve.jl with matrix functions?

homocomputeris · April 1, 2024, 4:39pm

I want to use NonlinearSolve.jl with matrix functions, something like:

using NonlinearSolve
using LinearAlgebra

dim = 2
function f(u, p)
    return exp(u) - Matrix{Float64}(I(dim))
end

u0 = rand(dim, dim) * 0.01
p = nothing
prob = NonlinearProblem(f, u0, p)
sol = solve(prob)
display(sol)
err = sol - zeros(dim, dim)
display(err)

This, however, casts an error:

ERROR: MethodError: no method matching exp!(::Matrix{ForwardDiff.Dual{ForwardDiff.Tag{NonlinearSolve.NonlinearSolveTag, Float64}, Float64, 4}})

Closest candidates are:
  exp!(::StridedMatrix{T}) where T<:Union{Float32, Float64, ComplexF64, ComplexF32}
   @ LinearAlgebra ~/.julia/juliaup/julia-1.10.2+0.x64.apple.darwin14/share/julia/stdlib/v1.10/LinearAlgebra/src/dense.jl:649

Stacktrace:
  [1] exp(A::Matrix{ForwardDiff.Dual{ForwardDiff.Tag{NonlinearSolve.NonlinearSolveTag, Float64}, Float64, 4}})
    @ LinearAlgebra ~/.julia/juliaup/julia-1.10.2+0.x64.apple.darwin14/share/julia/stdlib/v1.10/LinearAlgebra/src/dense.jl:594
  [2] f(u::Matrix{ForwardDiff.Dual{ForwardDiff.Tag{NonlinearSolve.NonlinearSolveTag, Float64}, Float64, 4}}, p::Nothing)
    @ Main ./Untitled-1:6
  [3] (::NonlinearFunction{…})(::Matrix{…}, ::Vararg{…})
    @ SciMLBase ~/.julia/packages/SciMLBase/QSc1r/src/scimlfunctions.jl:2197
  [4] (::SciMLBase.JacobianWrapper{false, NonlinearFunction{…}, Nothing})(u::Matrix{ForwardDiff.Dual{…}})
    @ SciMLBase ~/.julia/packages/SciMLBase/QSc1r/src/function_wrappers.jl:97
  [5] vector_mode_dual_eval!(f::SciMLBase.JacobianWrapper{…}, cfg::ForwardDiff.JacobianConfig{…}, x::Matrix{…})
    @ ForwardDiff ~/.julia/packages/ForwardDiff/PcZ48/src/apiutils.jl:24
  [6] vector_mode_jacobian!(result::Matrix{…}, f::SciMLBase.JacobianWrapper{…}, x::Matrix{…}, cfg::ForwardDiff.JacobianConfig{…})
    @ ForwardDiff ~/.julia/packages/ForwardDiff/PcZ48/src/jacobian.jl:145
  [7] jacobian!(result::Matrix{…}, f::Function, x::Matrix{…}, cfg::ForwardDiff.JacobianConfig{…}, ::Val{…})
    @ ForwardDiff ~/.julia/packages/ForwardDiff/PcZ48/src/jacobian.jl:58
  [8] jacobian!(result::Matrix{…}, f::Function, x::Matrix{…}, cfg::ForwardDiff.JacobianConfig{…})
    @ ForwardDiff ~/.julia/packages/ForwardDiff/PcZ48/src/jacobian.jl:56
  [9] sparse_jacobian!(J::Matrix{…}, ::AutoForwardDiff{…}, cache::SparseDiffTools.ForwardDiffJacobianCache{…}, f::SciMLBase.JacobianWrapper{…}, x::Matrix{…})
    @ SparseDiffTools ~/.julia/packages/SparseDiffTools/qxnHN/src/highlevel/forward_mode.jl:60
 [10] (::NonlinearSolve.JacobianCache{…})(J::Matrix{…}, u::Matrix{…}, p::Nothing)
    @ NonlinearSolve ~/.julia/packages/NonlinearSolve/5yLII/src/internal/jacobian.jl:136
 [11] JacobianCache
    @ ~/.julia/packages/NonlinearSolve/5yLII/src/internal/jacobian.jl:106 [inlined]
 [12] __step!(cache::NonlinearSolve.GeneralizedFirstOrderAlgorithmCache{…}; recompute_jacobian::Nothing, kwargs::@Kwargs{})
    @ NonlinearSolve ~/.julia/packages/NonlinearSolve/5yLII/src/core/generalized_first_order.jl:207
 [13] __step!
    @ ~/.julia/packages/NonlinearSolve/5yLII/src/core/generalized_first_order.jl:203 [inlined]
 [14] #step!#210
    @ ~/.julia/packages/NonlinearSolve/5yLII/src/core/generic.jl:55 [inlined]
 [15] step!
    @ ~/.julia/packages/NonlinearSolve/5yLII/src/core/generic.jl:50 [inlined]
 [16] solve!(cache::NonlinearSolve.GeneralizedFirstOrderAlgorithmCache{…})
    @ NonlinearSolve ~/.julia/packages/NonlinearSolve/5yLII/src/core/generic.jl:13
 [17] __solve(::NonlinearProblem{…}, ::GeneralizedFirstOrderAlgorithm{…}; kwargs::@Kwargs{…})
    @ NonlinearSolve ~/.julia/packages/NonlinearSolve/5yLII/src/core/generic.jl:4
 [18] __solve
    @ ~/.julia/packages/NonlinearSolve/5yLII/src/core/generic.jl:1 [inlined]
 [19] macro expansion
    @ ~/.julia/packages/NonlinearSolve/5yLII/src/default.jl:278 [inlined]
 [20] __solve(::NonlinearProblem{…}, ::NonlinearSolvePolyAlgorithm{…}; alias_u0::Bool, verbose::Bool, kwargs::@Kwargs{…})
    @ NonlinearSolve ~/.julia/packages/NonlinearSolve/5yLII/src/default.jl:248
 [21] __solve
    @ ~/.julia/packages/NonlinearSolve/5yLII/src/default.jl:248 [inlined]
 [22] #__solve#329
    @ ~/.julia/packages/NonlinearSolve/5yLII/src/default.jl:511 [inlined]
 [23] __solve
    @ ~/.julia/packages/NonlinearSolve/5yLII/src/default.jl:508 [inlined]
 [24] #__solve#61
    @ ~/.julia/packages/DiffEqBase/nc5nE/src/solve.jl:1371 [inlined]
 [25] __solve
    @ ~/.julia/packages/DiffEqBase/nc5nE/src/solve.jl:1364 [inlined]
 [26] #solve_call#34
    @ ~/.julia/packages/DiffEqBase/nc5nE/src/solve.jl:609 [inlined]
 [27] solve_call
    @ ~/.julia/packages/DiffEqBase/nc5nE/src/solve.jl:567 [inlined]
 [28] #solve_up#42
    @ ~/.julia/packages/DiffEqBase/nc5nE/src/solve.jl:1050 [inlined]
 [29] solve_up
    @ ~/.julia/packages/DiffEqBase/nc5nE/src/solve.jl:1044 [inlined]
 [30] #solve#41
    @ ~/.julia/packages/DiffEqBase/nc5nE/src/solve.jl:1038 [inlined]
 [31] solve(::NonlinearProblem{…})
    @ DiffEqBase ~/.julia/packages/DiffEqBase/nc5nE/src/solve.jl:1028
 [32] top-level scope
    @ Untitled-1:12
Some type information was truncated. Use `show(err)` to see complete types.

My attempts were:

cast to float

function f(u, p)
    return exp(Matrix{Float64}(u)) - Matrix{Float64}(I(dim))
end

ERROR: MethodError: no method matching Float64(::ForwardDiff.Dual{ForwardDiff.Tag{NonlinearSolve.NonlinearSolveTag, Float64}, Float64, 4})

Closest candidates are:
  (::Type{T})(::Real, ::RoundingMode) where T<:AbstractFloat
   @ Base rounding.jl:207
  (::Type{T})(::T) where T<:Number
   @ Core boot.jl:792
  Float64(::IrrationalConstants.Fourinvπ)
   @ IrrationalConstants ~/.julia/packages/IrrationalConstants/vp5v4/src/macro.jl:112

use value

function f(u, p)
    return exp(u.value) - Matrix{Float64}(I(dim))
end

ERROR: type Array has no field value

How can I fix this?

ChrisRackauckas · April 1, 2024, 6:11pm

Matrix exponential is not supported by ForwardDiff. I would suggest using ExponentialUtilities.jl and it should be fine.

homocomputeris · April 1, 2024, 7:34pm

Thanks!

Is there a more elegant way to do this?

function f(u, p)
    uu = copy(u)
    return exponential!(uu) - Matrix{Float64}(I(dim))
end

ChrisRackauckas · April 1, 2024, 8:45pm

exponential!(copy(u)) - I?

homocomputeris · April 1, 2024, 8:53pm

Well, yeah, sure. I mean, there is no not-in-place (non-public?) function already?

ChrisRackauckas · April 1, 2024, 10:01pm

Not yet. It would be a nice thing to add.

homocomputeris · April 1, 2024, 10:46pm

It turned out that only exponential! works with nonlinearsolve.jl, while expv doesn’t. Bug or feature?

solve(prob)
ERROR: MethodError: no method matching exponential!(::Matrix{ForwardDiff.Dual{ForwardDiff.Tag{…}, Float64, 3}}, ::ExpMethodHigham2005Base)

Closest candidates are:
  exponential!(::StridedMatrix{T}, ::ExpMethodHigham2005Base, ::Any) where T<:Union{Float32, Float64, ComplexF64, ComplexF32}
   @ ExponentialUtilities ~/.julia/packages/ExponentialUtilities/xLH9y/src/exp_baseexp.jl:23
  exponential!(::StridedMatrix{T}, ::ExpMethodHigham2005Base) where T<:Union{Float32, Float64, ComplexF64, ComplexF32}
   @ ExponentialUtilities ~/.julia/packages/ExponentialUtilities/xLH9y/src/exp_baseexp.jl:23
  exponential!(::Any, ::ExpMethodNative, ::Any)
   @ ExponentialUtilities ~/.julia/packages/ExponentialUtilities/xLH9y/src/exp.jl:70
  ...

Stacktrace:
  [1] expv!(w::Vector{…}, t::Float64, Ks::KrylovSubspace{…}; cache::Nothing, expmethod::ExpMethodHigham2005Base)
    @ ExponentialUtilities ~/.julia/packages/ExponentialUtilities/xLH9y/src/krylov_phiv.jl:95
  [2] _expv_hb(t::Float64, A::Matrix{…}, b::Vector{…}; expmethod::ExpMethodHigham2005Base, cache::Nothing, kwargs_arnoldi::@Kwargs{})
    @ ExponentialUtilities ~/.julia/packages/ExponentialUtilities/xLH9y/src/krylov_phiv.jl:51
  [3] _expv_hb(t::Float64, A::Matrix{ForwardDiff.Dual{ForwardDiff.Tag{…}, Float64, 3}}, b::Vector{Float64})
    @ ExponentialUtilities ~/.julia/packages/ExponentialUtilities/xLH9y/src/krylov_phiv.jl:45
  [4] expv(t::Float64, A::Matrix{ForwardDiff.Dual{…}}, b::Vector{Float64}; mode::Symbol, kwargs::@Kwargs{})
    @ ExponentialUtilities ~/.julia/packages/ExponentialUtilities/xLH9y/src/krylov_phiv.jl:38
  [5] expv(t::Float64, A::Matrix{ForwardDiff.Dual{ForwardDiff.Tag{…}, Float64, 3}}, b::Vector{Float64})
    @ ExponentialUtilities ~/.julia/packages/ExponentialUtilities/xLH9y/src/krylov_phiv.jl:35
  [6] optgoal(v::Vector{ForwardDiff.Dual{ForwardDiff.Tag{…}, Float64, 3}}, p::Vector{Float64})
    @ Main ./REPL[13]:2
  [7] NonlinearFunction
    @ ~/.julia/packages/SciMLBase/QSc1r/src/scimlfunctions.jl:2197 [inlined]
  [8] JacobianWrapper
    @ ~/.julia/packages/SciMLBase/QSc1r/src/function_wrappers.jl:97 [inlined]
  [9] vector_mode_dual_eval!
    @ ~/.julia/packages/ForwardDiff/PcZ48/src/apiutils.jl:24 [inlined]
 [10] vector_mode_jacobian!(result::Matrix{…}, f::SciMLBase.JacobianWrapper{…}, x::Vector{…}, cfg::ForwardDiff.JacobianConfig{…})
    @ ForwardDiff ~/.julia/packages/ForwardDiff/PcZ48/src/jacobian.jl:145
 [11] jacobian!
    @ ~/.julia/packages/ForwardDiff/PcZ48/src/jacobian.jl:58 [inlined]
 [12] jacobian!
    @ ~/.julia/packages/ForwardDiff/PcZ48/src/jacobian.jl:56 [inlined]
 [13] sparse_jacobian!
    @ ~/.julia/packages/SparseDiffTools/qxnHN/src/highlevel/forward_mode.jl:60 [inlined]
 [14] JacobianCache
    @ ~/.julia/packages/NonlinearSolve/5yLII/src/internal/jacobian.jl:136 [inlined]
 [15] JacobianCache
    @ ~/.julia/packages/NonlinearSolve/5yLII/src/internal/jacobian.jl:106 [inlined]
 [16] __step!(cache::NonlinearSolve.GeneralizedFirstOrderAlgorithmCache{…}; recompute_jacobian::Nothing, kwargs::@Kwargs{})
    @ NonlinearSolve ~/.julia/packages/NonlinearSolve/5yLII/src/core/generalized_first_order.jl:207
 [17] __step!
    @ ~/.julia/packages/NonlinearSolve/5yLII/src/core/generalized_first_order.jl:203 [inlined]
 [18] #step!#210
    @ ~/.julia/packages/NonlinearSolve/5yLII/src/core/generic.jl:55 [inlined]
 [19] step!
    @ ~/.julia/packages/NonlinearSolve/5yLII/src/core/generic.jl:50 [inlined]
 [20] solve!(cache::NonlinearSolve.GeneralizedFirstOrderAlgorithmCache{…})
    @ NonlinearSolve ~/.julia/packages/NonlinearSolve/5yLII/src/core/generic.jl:13
 [21] __solve(::NonlinearProblem{…}, ::GeneralizedFirstOrderAlgorithm{…}; kwargs::@Kwargs{…})
    @ NonlinearSolve ~/.julia/packages/NonlinearSolve/5yLII/src/core/generic.jl:4
 [22] __solve
    @ ~/.julia/packages/NonlinearSolve/5yLII/src/core/generic.jl:1 [inlined]
 [23] macro expansion
    @ ~/.julia/packages/NonlinearSolve/5yLII/src/default.jl:278 [inlined]
 [24] __solve(::NonlinearProblem{…}, ::NonlinearSolvePolyAlgorithm{…}; alias_u0::Bool, verbose::Bool, kwargs::@Kwargs{…})
    @ NonlinearSolve ~/.julia/packages/NonlinearSolve/5yLII/src/default.jl:248
 [25] __solve
    @ ~/.julia/packages/NonlinearSolve/5yLII/src/default.jl:248 [inlined]
 [26] #__solve#329
    @ ~/.julia/packages/NonlinearSolve/5yLII/src/default.jl:511 [inlined]
 [27] __solve
    @ ~/.julia/packages/NonlinearSolve/5yLII/src/default.jl:508 [inlined]
 [28] #__solve#61
    @ ~/.julia/packages/DiffEqBase/nc5nE/src/solve.jl:1371 [inlined]
 [29] __solve
    @ ~/.julia/packages/DiffEqBase/nc5nE/src/solve.jl:1364 [inlined]
 [30] #solve_call#34
    @ ~/.julia/packages/DiffEqBase/nc5nE/src/solve.jl:609 [inlined]
 [31] solve_call
    @ ~/.julia/packages/DiffEqBase/nc5nE/src/solve.jl:567 [inlined]
 [32] #solve_up#42
    @ ~/.julia/packages/DiffEqBase/nc5nE/src/solve.jl:1050 [inlined]
 [33] solve_up
    @ ~/.julia/packages/DiffEqBase/nc5nE/src/solve.jl:1044 [inlined]
 [34] #solve#41
    @ ~/.julia/packages/DiffEqBase/nc5nE/src/solve.jl:1038 [inlined]
 [35] solve(::NonlinearProblem{…})
    @ DiffEqBase ~/.julia/packages/DiffEqBase/nc5nE/src/solve.jl:1028
 [36] top-level scope
    @ REPL[17]:1
Some type information was truncated. Use `show(err)` to see complete types.

ChrisRackauckas · April 2, 2024, 12:39am

Unexpected. Worth an issue. Shouldn’t be too hard to solve, looks like it’s just a missing dispatch or a poorly chosen default.

homocomputeris · April 2, 2024, 11:06am

github.com/SciML/ExponentialUtilities.jl

expv does not work when used in NonlinearSolve.jl equations

opened 11:06AM - 02 Apr 24 UTC

homocomputeris

bug

**Describe the bug 🐞** Solver fails when `expv` is in the function. `exponent…ial!` kinda works. **Expected behavior** Optimize. See https://discourse.julialang.org/t/how-can-i-use-nonlinearsolve-jl-with-matrix-functions/112379 **Minimal Reproducible Example 👇** ```julia using NonlinearSolve using LinearAlgebra using ExponentialUtilities dim = 2 function f(u, p) v = rand(2) return expv(1, u, v) - v*2 end u0 = rand(dim, dim) * 0.01 p = nothing prob = NonlinearProblem(f, u0, p) sol = solve(prob) display(sol) err = sol - zeros(dim, dim) display(err) ``` **Error & Stacktrace ⚠️** ```julia ERROR: MethodError: no method matching exponential!(::Matrix{ForwardDiff.Dual{ForwardDiff.Tag{…}, Float64, 4}}, ::ExpMethodHigham2005Base) Closest candidates are: exponential!(::StridedMatrix{T}, ::ExpMethodHigham2005Base, ::Any) where T<:Union{Float32, Float64, ComplexF64, ComplexF32} @ ExponentialUtilities ~/.julia/packages/ExponentialUtilities/xLH9y/src/exp_baseexp.jl:23 exponential!(::StridedMatrix{T}, ::ExpMethodHigham2005Base) where T<:Union{Float32, Float64, ComplexF64, ComplexF32} @ ExponentialUtilities ~/.julia/packages/ExponentialUtilities/xLH9y/src/exp_baseexp.jl:23 exponential!(::Any, ::ExpMethodNative, ::Any) @ ExponentialUtilities ~/.julia/packages/ExponentialUtilities/xLH9y/src/exp.jl:70 ... Stacktrace: [1] expv!(w::Vector{…}, t::Int64, Ks::KrylovSubspace{…}; cache::Nothing, expmethod::ExpMethodHigham2005Base) @ ExponentialUtilities ~/.julia/packages/ExponentialUtilities/xLH9y/src/krylov_phiv.jl:95 [2] _expv_hb(t::Int64, A::Matrix{…}, b::Vector{…}; expmethod::ExpMethodHigham2005Base, cache::Nothing, kwargs_arnoldi::@Kwargs{}) @ ExponentialUtilities ~/.julia/packages/ExponentialUtilities/xLH9y/src/krylov_phiv.jl:51 [3] _expv_hb(t::Int64, A::Matrix{ForwardDiff.Dual{ForwardDiff.Tag{…}, Float64, 4}}, b::Vector{Float64}) @ ExponentialUtilities ~/.julia/packages/ExponentialUtilities/xLH9y/src/krylov_phiv.jl:45 [4] expv(t::Int64, A::Matrix{ForwardDiff.Dual{…}}, b::Vector{Float64}; mode::Symbol, kwargs::@Kwargs{}) @ ExponentialUtilities ~/.julia/packages/ExponentialUtilities/xLH9y/src/krylov_phiv.jl:38 [5] expv(t::Int64, A::Matrix{ForwardDiff.Dual{ForwardDiff.Tag{…}, Float64, 4}}, b::Vector{Float64}) @ ExponentialUtilities ~/.julia/packages/ExponentialUtilities/xLH9y/src/krylov_phiv.jl:35 [6] f(u::Matrix{ForwardDiff.Dual{ForwardDiff.Tag{NonlinearSolve.NonlinearSolveTag, Float64}, Float64, 4}}, p::Nothing) @ Main ./Untitled-1:8 [7] (::NonlinearFunction{…})(::Matrix{…}, ::Vararg{…}) @ SciMLBase ~/.julia/packages/SciMLBase/QSc1r/src/scimlfunctions.jl:2197 [8] (::SciMLBase.JacobianWrapper{false, NonlinearFunction{…}, Nothing})(u::Matrix{ForwardDiff.Dual{…}}) @ SciMLBase ~/.julia/packages/SciMLBase/QSc1r/src/function_wrappers.jl:97 [9] vector_mode_dual_eval!(f::SciMLBase.JacobianWrapper{…}, cfg::ForwardDiff.JacobianConfig{…}, x::Matrix{…}) @ ForwardDiff ~/.julia/packages/ForwardDiff/PcZ48/src/apiutils.jl:24 [10] vector_mode_jacobian!(result::Matrix{…}, f::SciMLBase.JacobianWrapper{…}, x::Matrix{…}, cfg::ForwardDiff.JacobianConfig{…}) @ ForwardDiff ~/.julia/packages/ForwardDiff/PcZ48/src/jacobian.jl:145 [11] jacobian!(result::Matrix{…}, f::Function, x::Matrix{…}, cfg::ForwardDiff.JacobianConfig{…}, ::Val{…}) @ ForwardDiff ~/.julia/packages/ForwardDiff/PcZ48/src/jacobian.jl:58 [12] jacobian!(result::Matrix{…}, f::Function, x::Matrix{…}, cfg::ForwardDiff.JacobianConfig{…}) @ ForwardDiff ~/.julia/packages/ForwardDiff/PcZ48/src/jacobian.jl:56 [13] sparse_jacobian!(J::Matrix{…}, ::AutoForwardDiff{…}, cache::SparseDiffTools.ForwardDiffJacobianCache{…}, f::SciMLBase.JacobianWrapper{…}, x::Matrix{…}) @ SparseDiffTools ~/.julia/packages/SparseDiffTools/qxnHN/src/highlevel/forward_mode.jl:60 [14] (::NonlinearSolve.JacobianCache{…})(J::Matrix{…}, u::Matrix{…}, p::Nothing) @ NonlinearSolve ~/.julia/packages/NonlinearSolve/5yLII/src/internal/jacobian.jl:136 [15] JacobianCache @ ~/.julia/packages/NonlinearSolve/5yLII/src/internal/jacobian.jl:106 [inlined] [16] __step!(cache::NonlinearSolve.GeneralizedFirstOrderAlgorithmCache{…}; recompute_jacobian::Nothing, kwargs::@Kwargs{}) @ NonlinearSolve ~/.julia/packages/NonlinearSolve/5yLII/src/core/generalized_first_order.jl:207 [17] __step! @ ~/.julia/packages/NonlinearSolve/5yLII/src/core/generalized_first_order.jl:203 [inlined] [18] #step!#210 @ ~/.julia/packages/NonlinearSolve/5yLII/src/core/generic.jl:55 [inlined] [19] step! @ ~/.julia/packages/NonlinearSolve/5yLII/src/core/generic.jl:50 [inlined] [20] solve!(cache::NonlinearSolve.GeneralizedFirstOrderAlgorithmCache{…}) @ NonlinearSolve ~/.julia/packages/NonlinearSolve/5yLII/src/core/generic.jl:13 [21] __solve(::NonlinearProblem{…}, ::GeneralizedFirstOrderAlgorithm{…}; kwargs::@Kwargs{…}) @ NonlinearSolve ~/.julia/packages/NonlinearSolve/5yLII/src/core/generic.jl:4 [22] __solve @ ~/.julia/packages/NonlinearSolve/5yLII/src/core/generic.jl:1 [inlined] [23] macro expansion @ ~/.julia/packages/NonlinearSolve/5yLII/src/default.jl:278 [inlined] [24] __solve(::NonlinearProblem{…}, ::NonlinearSolvePolyAlgorithm{…}; alias_u0::Bool, verbose::Bool, kwargs::@Kwargs{…}) @ NonlinearSolve ~/.julia/packages/NonlinearSolve/5yLII/src/default.jl:248 [25] __solve @ ~/.julia/packages/NonlinearSolve/5yLII/src/default.jl:248 [inlined] [26] #__solve#329 @ ~/.julia/packages/NonlinearSolve/5yLII/src/default.jl:511 [inlined] [27] __solve @ ~/.julia/packages/NonlinearSolve/5yLII/src/default.jl:508 [inlined] [28] #__solve#61 @ ~/.julia/packages/DiffEqBase/nc5nE/src/solve.jl:1371 [inlined] [29] __solve @ ~/.julia/packages/DiffEqBase/nc5nE/src/solve.jl:1364 [inlined] [30] #solve_call#34 @ ~/.julia/packages/DiffEqBase/nc5nE/src/solve.jl:609 [inlined] [31] solve_call @ ~/.julia/packages/DiffEqBase/nc5nE/src/solve.jl:567 [inlined] [32] #solve_up#42 @ ~/.julia/packages/DiffEqBase/nc5nE/src/solve.jl:1050 [inlined] [33] solve_up @ ~/.julia/packages/DiffEqBase/nc5nE/src/solve.jl:1044 [inlined] [34] #solve#41 @ ~/.julia/packages/DiffEqBase/nc5nE/src/solve.jl:1038 [inlined] [35] solve(::NonlinearProblem{…}) @ DiffEqBase ~/.julia/packages/DiffEqBase/nc5nE/src/solve.jl:1028 [36] top-level scope @ Untitled-1:14 Some type information was truncated. Use `show(err)` to see complete types. ``` **Environment (please complete the following information):** - Output of `using Pkg; Pkg.status()` ```julia [667455a9] Cubature v1.5.1 [31c24e10] Distributions v0.25.107 [d4d017d3] ExponentialUtilities v1.26.1 [f6369f11] ForwardDiff v0.10.36 ⌃ [de52edbc] Integrals v4.3.0 ⌃ [8913a72c] NonlinearSolve v3.8.3 ⌃ [1dea7af3] OrdinaryDiffEq v6.70.1 ⌃ [91a5bcdd] Plots v1.40.1 [44d3d7a6] Weave v0.10.12 ``` - Output of `using Pkg; Pkg.status(; mode = PKGMODE_MANIFEST)` ```julia ⌃ [47edcb42] ADTypes v0.2.6 ⌃ [7d9f7c33] Accessors v0.1.35 ⌃ [79e6a3ab] Adapt v4.0.1 ⌅ [ec485272] ArnoldiMethod v0.2.0 ⌃ [4fba245c] ArrayInterface v7.7.0 ⌃ [4c555306] ArrayLayouts v1.6.0 [d1d4a3ce] BitFlags v0.1.8 [62783981] BitTwiddlingConvenienceFunctions v0.1.5 [2a0fbf3d] CPUSummary v0.2.4 [49dc2e85] Calculus v0.5.1 [fb6a15b2] CloseOpenIntervals v0.1.12 [944b1d66] CodecZlib v0.7.4 [35d6a980] ColorSchemes v3.24.0 [3da002f7] ColorTypes v0.11.4 [c3611d14] ColorVectorSpace v0.10.0 [5ae59095] Colors v0.12.10 [861a8166] Combinatorics v1.0.2 [38540f10] CommonSolve v0.2.4 [bbf7d656] CommonSubexpressions v0.3.0 ⌃ [34da2185] Compat v4.12.0 [a33af91c] CompositionsBase v0.1.2 [2569d6c7] ConcreteStructs v0.2.3 ⌃ [f0e56b4a] ConcurrentUtilities v2.3.1 ⌃ [187b0558] ConstructionBase v1.5.4 [d38c429a] Contour v0.6.2 [adafc99b] CpuId v0.3.1 [667455a9] Cubature v1.5.1 [9a962f9c] DataAPI v1.16.0 ⌃ [864edb3b] DataStructures v0.18.16 [e2d170a0] DataValueInterfaces v1.0.0 [8bb1440f] DelimitedFiles v1.9.1 ⌃ [2b5f629d] DiffEqBase v6.146.2 [163ba53b] DiffResults v1.1.0 [b552c78f] DiffRules v1.15.1 [31c24e10] Distributions v0.25.107 [ffbed154] DocStringExtensions v0.9.3 [fa6b7ba4] DualNumbers v0.6.8 [4e289a0a] EnumX v1.0.4 ⌅ [f151be2c] EnzymeCore v0.6.5 [460bff9d] ExceptionUnwrapping v0.1.10 [d4d017d3] ExponentialUtilities v1.26.1 [e2ba6199] ExprTools v0.1.10 [c87230d0] FFMPEG v0.4.1 [7034ab61] FastBroadcast v0.2.8 [9aa1b823] FastClosures v0.3.2 ⌃ [29a986be] FastLapackInterface v2.0.1 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Xorg_libxkbfile_jll v1.1.2+0 [e920d4aa] Xorg_xcb_util_cursor_jll v0.1.4+0 [12413925] Xorg_xcb_util_image_jll v0.4.0+1 [2def613f] Xorg_xcb_util_jll v0.4.0+1 [975044d2] Xorg_xcb_util_keysyms_jll v0.4.0+1 [0d47668e] Xorg_xcb_util_renderutil_jll v0.3.9+1 [c22f9ab0] Xorg_xcb_util_wm_jll v0.4.1+1 [35661453] Xorg_xkbcomp_jll v1.4.6+0 [33bec58e] Xorg_xkeyboard_config_jll v2.39.0+0 [c5fb5394] Xorg_xtrans_jll v1.5.0+0 ⌃ [3161d3a3] Zstd_jll v1.5.5+0 [35ca27e7] eudev_jll v3.2.9+0 [214eeab7] fzf_jll v0.43.0+0 [1a1c6b14] gperf_jll v3.1.1+0 [a4ae2306] libaom_jll v3.4.0+0 [0ac62f75] libass_jll v0.15.1+0 [2db6ffa8] libevdev_jll v1.11.0+0 [f638f0a6] libfdk_aac_jll v2.0.2+0 [36db933b] libinput_jll v1.18.0+0 ⌃ [b53b4c65] libpng_jll v1.6.40+0 [f27f6e37] libvorbis_jll v1.3.7+1 [009596ad] mtdev_jll v1.1.6+0 [1270edf5] x264_jll v2021.5.5+0 [dfaa095f] x265_jll v3.5.0+0 [d8fb68d0] xkbcommon_jll v1.4.1+1 [0dad84c5] ArgTools v1.1.1 [56f22d72] Artifacts [2a0f44e3] Base64 [ade2ca70] Dates [8ba89e20] Distributed [f43a241f] Downloads v1.6.0 [7b1f6079] FileWatching [9fa8497b] Future [b77e0a4c] InteractiveUtils [4af54fe1] LazyArtifacts [b27032c2] LibCURL v0.6.4 [76f85450] LibGit2 [8f399da3] Libdl [37e2e46d] LinearAlgebra [56ddb016] Logging [d6f4376e] Markdown [a63ad114] Mmap [ca575930] NetworkOptions v1.2.0 [44cfe95a] Pkg v1.10.0 [de0858da] Printf [3fa0cd96] REPL [9a3f8284] Random [ea8e919c] SHA v0.7.0 [9e88b42a] Serialization [1a1011a3] SharedArrays [6462fe0b] Sockets [2f01184e] SparseArrays v1.10.0 [10745b16] Statistics v1.10.0 [4607b0f0] SuiteSparse [fa267f1f] TOML v1.0.3 [a4e569a6] Tar v1.10.0 [8dfed614] Test [cf7118a7] UUIDs [4ec0a83e] Unicode [e66e0078] CompilerSupportLibraries_jll v1.1.0+0 [deac9b47] LibCURL_jll v8.4.0+0 [e37daf67] LibGit2_jll v1.6.4+0 [29816b5a] LibSSH2_jll v1.11.0+1 [c8ffd9c3] MbedTLS_jll v2.28.2+1 [14a3606d] MozillaCACerts_jll v2023.1.10 [4536629a] OpenBLAS_jll v0.3.23+4 [05823500] OpenLibm_jll v0.8.1+2 [efcefdf7] PCRE2_jll v10.42.0+1 [bea87d4a] SuiteSparse_jll v7.2.1+1 [83775a58] Zlib_jll v1.2.13+1 [8e850b90] libblastrampoline_jll v5.8.0+1 [8e850ede] nghttp2_jll v1.52.0+1 [3f19e933] p7zip_jll v17.4.0+2 Info Packages marked with ⌃ and ⌅ have new versions available. Those with ⌃ may be upgradable, but those with ⌅ are restricted by compatibility constraints from upgrading. To see why use `status --outdated -m` ``` - Output of `versioninfo()` ```julia Julia Version 1.10.2 Commit bd47eca2c8a (2024-03-01 10:14 UTC) Build Info: Official https://julialang.org/ release Platform Info: OS: macOS (x86_64-apple-darwin22.4.0) CPU: 8 × Intel(R) Core(TM) i5-8279U CPU @ 2.40GHz WORD_SIZE: 64 LIBM: libopenlibm LLVM: libLLVM-15.0.7 (ORCJIT, skylake) Threads: 8 default, 0 interactive, 4 GC (on 8 virtual cores) Environment: JULIA_EDITOR = code ``` **Additional context** [Add any other context about the problem here.](https://discourse.julialang.org/t/how-can-i-use-nonlinearsolve-jl-with-matrix-functions/112379)