DifferentialEquations.jl

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Describe the bug 🐞

My state variables are expressed with the VectorOfArray structure of RecursiveArrayTools.jl and I want to solve a system of matrix DAEs expressed in a Mass-Matrix Format. At some point DifferentialEquations.jl evaluate if the mass-matrix M is singular but it does not expect a VectorOfArray as an argument.

Expected behavior

I would have expected that DifferentialEquations.jl would be able to accept a mass-matrix expressed with a VectorOfArray because without that I see no way to express the mass-matrix when the state variables are expressed as a VectorOfArray.

Minimal Reproducible Example 👇

using RecursiveArrayTools
using LinearAlgebra
using DifferentialEquations
#
matrix_1 = [-1/0.08 0 -0.2/0.08 ; 1/0.3 -1/0.3 0; 0 50/20 -1/20]
matrix_2 = [-1/0.08 0 -0.2/0.08 ; 1/0.3 -1/0.3 0; 0 50/20 -1/20]
matrix = VectorOfArray([matrix_1, matrix_2])
#
M =VectorOfArray([1.0*I(3), 1.0*I(3)])
#M =1.0*I(6) 
#
p = [0; 0; -0.05*(50/20)]
function powsys!(du, u, p, t)
    du[1] = matrix[1]*u[1] .+ p
    du[2] = matrix[2]*u[2] .+ p
end
u0= VectorOfArray([zeros(3,1), zeros(3,1)])
tspan = (0.0,20.0)
prob = ODEProblem(ODEFunction(powsys!, mass_matrix = M),u0,tspan, p)
sol = solve(prob,Rodas5(), reltol = 1e-8, abstol = 1e-8)

Error & Stacktrace ⚠️

MethodError: no method matching issingular(::VectorOfArray{Float64, 3, Vector{Diagonal{Float64, Vector{Float64}}}})

Closest candidates are:
  issingular(::SymTridiagonal)
   @ ArrayInterface C:\Users\lenovo\.julia\packages\ArrayInterface\ubN3d\src\ArrayInterface.jl:328
  issingular(::Matrix)
   @ ArrayInterface C:\Users\lenovo\.julia\packages\ArrayInterface\ubN3d\src\ArrayInterface.jl:324
  issingular(::Tridiagonal)
   @ ArrayInterface C:\Users\lenovo\.julia\packages\ArrayInterface\ubN3d\src\ArrayInterface.jl:329
  ...
Stacktrace:
 [1] __init(prob::ODEProblem{VectorOfArray{Float64, 3, Vector{Matrix{Float64}}},...

Environment (please complete the following information):

• Output of using Pkg; Pkg.status()

Status `C:\Users\lenovo\.julia\environments\v1.10\Project.toml`
  [336ed68f] CSV v0.10.14
  [717857b8] DSP v0.7.9
  [a93c6f00] DataFrames v1.6.1
⌃ [0c46a032] DifferentialEquations v7.13.0
⌃ [31c24e10] Distributions v0.25.110
  [7a1cc6ca] FFTW v1.8.0
  [7073ff75] IJulia v1.25.0
⌃ [1dea7af3] OrdinaryDiffEq v6.84.0
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⌃ [1fd47b50] QuadGK v2.10.1
⌃ [731186ca] RecursiveArrayTools v3.23.1
⌃ [0bca4576] SciMLBase v2.41.3
  [30cb0354] SciMLTutorials v1.0.0 `[https://github.com/SciML/SciMLTutorials.jl.git#master`](https://github.com/SciML/SciMLTutorials.jl.git#master%60)
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⌃ [fdbf4ff8] XLSX v0.10.1
  [37e2e46d] LinearAlgebra
Info Packages marked with ⌃ have new versions available and may be upgradable.

• Output of using Pkg; Pkg.status(; mode = PKGMODE_MANIFEST)

Status `C:\Users\lenovo\.julia\environments\v1.10\Manifest.toml`
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  [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
  [8f1865be] ZeroMQ_jll v4.3.5+0
  [3161d3a3] Zstd_jll v1.5.6+0
  [35ca27e7] eudev_jll v3.2.9+0
⌅ [214eeab7] fzf_jll v0.43.0+0
  [1a1c6b14] gperf_jll v3.1.1+0
  [477f73a3] libaec_jll v1.1.2+0
  [a4ae2306] libaom_jll v3.9.0+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 v1.6.43+1
  [a9144af2] libsodium_jll v1.0.20+0
⌃ [f27f6e37] libvorbis_jll v1.3.7+1
  [009596ad] mtdev_jll v1.1.6+0
  [1317d2d5] oneTBB_jll v2021.12.0+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 v1.1.1+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 Version 1.10.4
Commit 48d4fd4843 (2024-06-04 10:41 UTC)
Build Info:
  Official https://julialang.org/ release
Platform Info:
  OS: Windows (x86_64-w64-mingw32)
  CPU: 8 × 11th Gen Intel(R) Core(TM) i7-1185G7 @ 3.00GHz
  WORD_SIZE: 64
  LIBM: libopenlibm
  LLVM: libLLVM-15.0.7 (ORCJIT, tigerlake)
Threads: 1 default, 0 interactive, 1 GC (on 8 virtual cores)