Sparse GPU linear solve from documentation fails #625
Description
Describe the bug 🐞
The example in the documentation to solve sparse linear systems with CUDA/cuDSS errors with LinearSolve v3.17.0. Instead of calling cuDSS, LinearSolve.jl seems to try calling CPU UMFPACK factorization.
Expected behavior
The system should be solved using cuDSS.
Minimal Reproducible Example 👇
using LinearAlgebra, SparseArrays, LinearSolve
using CUDA, CUDA.CUSPARSE, CUDSS
T = Float32
n = 100
A_cpu = sprand(T, n, n, 0.05) + I
x_cpu = zeros(T, n)
b_cpu = rand(T, n)
A_gpu_csr = CuSparseMatrixCSR(A_cpu)
b_gpu = CuVector(b_cpu)
prob = LinearProblem(A_gpu_csr, b_gpu)
sol = solve(prob, LUFactorization())Error & Stacktrace
MethodError: no method matching SparseArrays.UMFPACK.UmfpackLU(::SparseMatrixCSC{Float32, Int32})
The type `SparseArrays.UMFPACK.UmfpackLU` exists, but no method is defined for this combination of argument types when trying to construct it.
Closest candidates are:
SparseArrays.UMFPACK.UmfpackLU(::SparseArrays.UMFPACK.Symbolic{Tv, Ti}, ::SparseArrays.UMFPACK.Numeric{Tv, Ti}, ::Int64, ::Int64, ::Vector{Ti}, ::Vector{Ti}, ::Vector{Tv}, ::Int64, ::SparseArrays.UMFPACK.UmfpackWS{Ti}, ::Vector{Float64}, ::Vector{Float64}, ::ReentrantLock) where {Tv<:Union{Float64, ComplexF64}, Ti<:Union{Int32, Int64}}
@ SparseArrays C:\Users\joerg\AppData\Local\Programs\Julia-1.11.5\share\julia\stdlib\v1.11\SparseArrays\src\solvers\umfpack.jl:227
SparseArrays.UMFPACK.UmfpackLU(::SparseArrays.AbstractSparseMatrixCSC{Tv, Ti}; control) where {Tv<:Union{Float64, ComplexF64}, Ti<:Union{Int32, Int64}}
@ SparseArrays C:\Users\joerg\AppData\Local\Programs\Julia-1.11.5\share\julia\stdlib\v1.11\SparseArrays\src\solvers\umfpack.jl:241
Stacktrace:
[1] init_cacheval(alg::LUFactorization{RowMaximum}, A::CuSparseMatrixCSR{Float32, Int32}, b::CuArray{Float32, 1, CUDA.DeviceMemory}, u::CuArray{Float32, 1, CUDA.DeviceMemory}, Pl::IdentityOperator, Pr::IdentityOperator, maxiters::Int64, abstol::Float32, reltol::Float32, verbose::Bool, assumptions::OperatorAssumptions{Bool})
@ LinearSolveSparseArraysExt C:\Users\joerg\.julia\packages\LinearSolve\gQrff\ext\LinearSolveSparseArraysExt.jl:111
[2] init(::LinearProblem{Nothing, true, CuSparseMatrixCSR{Float32, Int32}, CuArray{Float32, 1, CUDA.DeviceMemory}, SciMLBase.NullParameters, Nothing, @Kwargs{}}, ::LUFactorization{RowMaximum}; alias::LinearAliasSpecifier, abstol::Float32, reltol::Float32, maxiters::Int64, verbose::Bool, Pl::Nothing, Pr::Nothing, assumptions::OperatorAssumptions{Bool}, sensealg::LinearSolveAdjoint{Missing}, kwargs::@Kwargs{})
@ LinearSolve C:\Users\joerg\.julia\packages\LinearSolve\gQrff\src\common.jl:239
[3] init(::LinearProblem{Nothing, true, CuSparseMatrixCSR{Float32, Int32}, CuArray{Float32, 1, CUDA.DeviceMemory}, SciMLBase.NullParameters, Nothing, @Kwargs{}}, ::LUFactorization{RowMaximum})
@ LinearSolve C:\Users\joerg\.julia\packages\LinearSolve\gQrff\src\common.jl:140
[4] solve(::LinearProblem{Nothing, true, CuSparseMatrixCSR{Float32, Int32}, CuArray{Float32, 1, CUDA.DeviceMemory}, SciMLBase.NullParameters, Nothing, @Kwargs{}}, ::LUFactorization{RowMaximum}; kwargs::@Kwargs{})
@ LinearSolve C:\Users\joerg\.julia\packages\LinearSolve\gQrff\src\common.jl:295
[5] solve(::LinearProblem{Nothing, true, CuSparseMatrixCSR{Float32, Int32}, CuArray{Float32, 1, CUDA.DeviceMemory}, SciMLBase.NullParameters, Nothing, @Kwargs{}}, ::LUFactorization{RowMaximum})
@ LinearSolve C:\Users\joerg\.julia\packages\LinearSolve\gQrff\src\common.jl:293
[6] top-level scope
@ REPL[11]:1Environment (please complete the following information):
- Output of
using Pkg; Pkg.status()
Status `C:\Users\joerg\.julia\environments\v1.11\Project.toml`
[c963dde9] AMGX v0.2.0
[2169fc97] AlgebraicMultigrid v1.0.0
[6e4b80f9] BenchmarkTools v1.6.0
[052768ef] CUDA v5.8.2
[45b445bb] CUDSS v0.4.4
[864edb3b] DataStructures v0.18.22
[459566f4] DiffEqCallbacks v4.6.0
[0c46a032] DifferentialEquations v7.16.1
⌃ [e9467ef8] GLMakie v0.11.11
⌅ [a98d9a8b] Interpolations v0.15.1
[42fd0dbc] IterativeSolvers v0.9.4
[b964fa9f] LaTeXStrings v1.4.0
[7ed4a6bd] LinearSolve v3.17.0
[2ab3a3ac] LogExpFunctions v0.3.29
[bdcacae8] LoopVectorization v0.12.172
[33e6dc65] MKL v0.9.0
⌃ [eacbb407] Meshes v0.53.17
[872c559c] NNlib v0.9.30
[1dea7af3] OrdinaryDiffEq v6.98.0
[b0944070] OrdinaryDiffEqLowStorageRK v1.3.0
[669c94d9] OrdinaryDiffEqSSPRK v1.3.0
[46dd5b70] Pardiso v1.0.1
⌃ [91a5bcdd] Plots v1.40.13
[f517fe37] Polyester v0.7.18
[d236fae5] PreallocationTools v0.4.27
[731186ca] RecursiveArrayTools v3.33.0
[e56a9233] Sparspak v0.3.11
[c3572dad] Sundials v4.28.0
[5d786b92] TerminalLoggers v0.1.7
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[8149f6b0] WAV v1.2.0
[ed894a53] WaterLily v1.5.0
[2f01184e] SparseArrays v1.11.0
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`- Output of
using Pkg; Pkg.status(; mode = PKGMODE_MANIFEST)
Status `C:\Users\joerg\.julia\environments\v1.11\Manifest.toml`
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[cae243ae] StackViews v0.1.2
[472ebc20] StartUpDG v1.1.6
[aedffcd0] Static v1.2.0
[0d7ed370] StaticArrayInterface v1.8.0
[90137ffa] StaticArrays v1.9.13
[1e83bf80] StaticArraysCore v1.4.3
[10745b16] Statistics v1.11.1
[82ae8749] StatsAPI v1.7.1
[2913bbd2] StatsBase v0.34.5
[4c63d2b9] StatsFuns v1.5.0
[9672c7b4] SteadyStateDiffEq v2.5.0
[789caeaf] StochasticDiffEq v6.80.0
[d1fa6d79] StrideArrays v0.1.29
[7792a7ef] StrideArraysCore v0.5.7
[892a3eda] StringManipulation v0.4.1
[09ab397b] StructArrays v0.7.1
[9f78cca6] SummationByPartsOperators v0.5.80
[c3572dad] Sundials v4.28.0
[2efcf032] SymbolicIndexingInterface v0.3.40
[d0cc0030] T8code v0.7.4
[3783bdb8] TableTraits v1.0.1
[bd369af6] Tables v1.12.1
[62fd8b95] TensorCore v0.1.1
[5d786b92] TerminalLoggers v0.1.7
⌃ [8290d209] ThreadingUtilities v0.5.4
[731e570b] TiffImages v0.11.4
[06e1c1a7] TiledIteration v0.5.0
[a759f4b9] TimerOutputs v0.5.29
[e689c965] Tracy v0.1.4
[3bb67fe8] TranscodingStreams v0.11.3
[28dd2a49] TransformsBase v1.6.0
⌃ [f7e6ffb2] Triangulate v2.4.0
[981d1d27] TriplotBase v0.1.0
[808ab39a] TriplotRecipes v0.1.2
[a7f1ee26] Trixi v0.12.2
[9a0f1c46] TrixiBase v0.1.5
[781d530d] TruncatedStacktraces v1.4.0
[5c2747f8] URIs v1.5.2
[3a884ed6] UnPack v1.0.2
[1cfade01] UnicodeFun v0.4.1
[1986cc42] Unitful v1.23.1
[45397f5d] UnitfulLatexify v1.7.0
[9602ed7d] Unrolled v0.1.5
[013be700] UnsafeAtomics v0.3.0
[41fe7b60] Unzip v0.2.0
[4004b06d] VTKBase v1.0.1
[3d5dd08c] VectorizationBase v0.21.71
[33b4df10] VectorizedRNG v0.2.25
[3b853605] VectorizedStatistics v0.5.10
[8149f6b0] WAV v1.2.0
[ed894a53] WaterLily v1.5.0
[e3aaa7dc] WebP v0.1.3
[efce3f68] WoodburyMatrices v1.0.0
[64499a7a] WriteVTK v1.21.2
⌃ [e88e6eb3] Zygote v0.7.9
[700de1a5] ZygoteRules v0.2.7
[656d14af] AMGX_jll v2.4.0+0
[6e34b625] Bzip2_jll v1.0.9+0
[4e9b3aee] CRlibm_jll v1.0.1+0
⌃ [4ee394cb] CUDA_Driver_jll v0.13.0+0
⌃ [76a88914] CUDA_Runtime_jll v0.17.0+0
⌅ [4889d778] CUDSS_jll v0.4.0+0
[83423d85] Cairo_jll v1.18.5+0
[ee1fde0b] Dbus_jll v1.16.2+0
[5ae413db] EarCut_jll v2.2.4+0
[2702e6a9] EpollShim_jll v0.0.20230411+1
[2e619515] Expat_jll v2.6.5+0
⌅ [b22a6f82] FFMPEG_jll v4.4.4+1
[f5851436] FFTW_jll v3.3.11+0
[a3f928ae] Fontconfig_jll v2.16.0+0
[d7e528f0] FreeType2_jll v2.13.4+0
[559328eb] FriBidi_jll v1.0.17+0
[0656b61e] GLFW_jll v3.4.0+2
[d2c73de3] GR_jll v0.73.16+0
[78b55507] Gettext_jll v0.21.0+0
[59f7168a] Giflib_jll v5.2.3+0
[7746bdde] Glib_jll v2.84.0+0
[3b182d85] Graphite2_jll v1.3.15+0
[0234f1f7] HDF5_jll v1.14.6+0
[2e76f6c2] HarfBuzz_jll v8.5.1+0
[e33a78d0] Hwloc_jll v2.12.1+0
[905a6f67] Imath_jll v3.1.11+0
[1d5cc7b8] IntelOpenMP_jll v2025.0.4+0
[aacddb02] JpegTurbo_jll v3.1.1+0
[9c1d0b0a] JuliaNVTXCallbacks_jll v0.2.1+0
[c1c5ebd0] LAME_jll v3.100.2+0
[88015f11] LERC_jll v4.0.1+0
[dad2f222] LLVMExtra_jll v0.0.36+0
[1d63c593] LLVMOpenMP_jll v18.1.8+0
[dd4b983a] LZO_jll v2.10.3+0
[ad6e5548] LibTracyClient_jll v0.9.1+6
[e9f186c6] Libffi_jll v3.4.7+0
[7e76a0d4] Libglvnd_jll v1.7.1+1
[94ce4f54] Libiconv_jll v1.18.0+0
[4b2f31a3] Libmount_jll v2.41.0+0
[89763e89] Libtiff_jll v4.7.1+0
[38a345b3] Libuuid_jll v2.41.0+0
[856f044c] MKL_jll v2025.0.1+1
[7cb0a576] MPICH_jll v4.3.0+1
[f1f71cc9] MPItrampoline_jll v5.5.3+0
[9237b28f] MicrosoftMPI_jll v10.1.4+3
⌃ [e98f9f5b] NVTX_jll v3.1.1+0
[e7412a2a] Ogg_jll v1.3.5+1
[6cdc7f73] OpenBLASConsistentFPCSR_jll v0.3.29+0
[18a262bb] OpenEXR_jll v3.2.4+0
⌃ [fe0851c0] OpenMPI_jll v5.0.7+2
[458c3c95] OpenSSL_jll v3.5.0+0
[efe28fd5] OpenSpecFun_jll v0.5.6+0
[91d4177d] Opus_jll v1.3.3+0
⌅ [6b5a15aa] P4est_jll v2.8.1+2
[36c8627f] Pango_jll v1.56.3+0
⌅ [30392449] Pixman_jll v0.44.2+0
[c0090381] Qt6Base_jll v6.8.2+1
[629bc702] Qt6Declarative_jll v6.8.2+1
[ce943373] Qt6ShaderTools_jll v6.8.2+1
[e99dba38] Qt6Wayland_jll v6.8.2+0
[f50d1b31] Rmath_jll v0.5.1+0
⌅ [fb77eaff] Sundials_jll v5.2.3+0
[5639c1d2] Triangle_jll v1.6.2+0
[a44049a8] Vulkan_Loader_jll v1.3.243+0
[a2964d1f] Wayland_jll v1.23.1+0
[2381bf8a] Wayland_protocols_jll v1.44.0+0
⌅ [02c8fc9c] XML2_jll v2.13.6+1
[ffd25f8a] XZ_jll v5.8.1+0
[f67eecfb] Xorg_libICE_jll v1.1.2+0
[c834827a] Xorg_libSM_jll v1.2.6+0
[4f6342f7] Xorg_libX11_jll v1.8.12+0
[0c0b7dd1] Xorg_libXau_jll v1.0.13+0
[935fb764] Xorg_libXcursor_jll v1.2.4+0
[a3789734] Xorg_libXdmcp_jll v1.1.6+0
[1082639a] Xorg_libXext_jll v1.3.7+0
[d091e8ba] Xorg_libXfixes_jll v6.0.1+0
[a51aa0fd] Xorg_libXi_jll v1.8.3+0
[d1454406] Xorg_libXinerama_jll v1.1.6+0
[ec84b674] Xorg_libXrandr_jll v1.5.5+0
[ea2f1a96] Xorg_libXrender_jll v0.9.12+0
[c7cfdc94] Xorg_libxcb_jll v1.17.1+0
[cc61e674] Xorg_libxkbfile_jll v1.1.3+0
[e920d4aa] Xorg_xcb_util_cursor_jll v0.1.4+0
[12413925] Xorg_xcb_util_image_jll v0.4.1+0
[2def613f] Xorg_xcb_util_jll v0.4.1+0
[975044d2] Xorg_xcb_util_keysyms_jll v0.4.1+0
[0d47668e] Xorg_xcb_util_renderutil_jll v0.3.10+0
[c22f9ab0] Xorg_xcb_util_wm_jll v0.4.2+0
[35661453] Xorg_xkbcomp_jll v1.4.7+0
[33bec58e] Xorg_xkeyboard_config_jll v2.44.0+0
[c5fb5394] Xorg_xtrans_jll v1.6.0+0
[3161d3a3] Zstd_jll v1.5.7+1
[1e29f10c] demumble_jll v1.3.0+0
[35ca27e7] eudev_jll v3.2.14+0
[214eeab7] fzf_jll v0.61.1+0
[9a68df92] isoband_jll v0.2.3+0
[477f73a3] libaec_jll v1.1.3+0
[a4ae2306] libaom_jll v3.11.0+0
[0ac62f75] libass_jll v0.15.2+0
[1183f4f0] libdecor_jll v0.2.2+0
[2db6ffa8] libevdev_jll v1.13.4+0
[f638f0a6] libfdk_aac_jll v2.0.3+0
[36db933b] libinput_jll v1.28.1+0
⌃ [b53b4c65] libpng_jll v1.6.48+0
[075b6546] libsixel_jll v1.10.5+0
[f27f6e37] libvorbis_jll v1.3.7+2
[c5f90fcd] libwebp_jll v1.5.0+0
[009596ad] mtdev_jll v1.1.7+0
[1317d2d5] oneTBB_jll v2022.0.0+0
[4ee9bed8] t8code_jll v3.0.1+0
⌅ [1270edf5] x264_jll v2021.5.5+0
⌅ [dfaa095f] x265_jll v3.5.0+0
[d8fb68d0] xkbcommon_jll v1.8.1+0
[0dad84c5] ArgTools v1.1.2
[56f22d72] Artifacts v1.11.0
[2a0f44e3] Base64 v1.11.0
[8bf52ea8] CRC32c v1.11.0
[ade2ca70] Dates v1.11.0
[8ba89e20] Distributed v1.11.0
[f43a241f] Downloads v1.6.0
[7b1f6079] FileWatching v1.11.0
[9fa8497b] Future v1.11.0
[b77e0a4c] InteractiveUtils v1.11.0
[4af54fe1] LazyArtifacts v1.11.0
[b27032c2] LibCURL v0.6.4
[76f85450] LibGit2 v1.11.0
[8f399da3] Libdl v1.11.0
[37e2e46d] LinearAlgebra v1.11.0
[56ddb016] Logging v1.11.0
[d6f4376e] Markdown v1.11.0
[a63ad114] Mmap v1.11.0
[ca575930] NetworkOptions v1.2.0
[44cfe95a] Pkg v1.11.0
[de0858da] Printf v1.11.0
[9abbd945] Profile v1.11.0
[3fa0cd96] REPL v1.11.0
[9a3f8284] Random v1.11.0
[ea8e919c] SHA v0.7.0
[9e88b42a] Serialization v1.11.0
[1a1011a3] SharedArrays v1.11.0
[6462fe0b] Sockets v1.11.0
[2f01184e] SparseArrays v1.11.0
[f489334b] StyledStrings v1.11.0
[4607b0f0] SuiteSparse
[fa267f1f] TOML v1.0.3
[a4e569a6] Tar v1.10.0
[8dfed614] Test v1.11.0
[cf7118a7] UUIDs v1.11.0
[4ec0a83e] Unicode v1.11.0
[e66e0078] CompilerSupportLibraries_jll v1.1.1+0
[deac9b47] LibCURL_jll v8.6.0+0
[e37daf67] LibGit2_jll v1.7.2+0
[29816b5a] LibSSH2_jll v1.11.0+1
[c8ffd9c3] MbedTLS_jll v2.28.6+0
[14a3606d] MozillaCACerts_jll v2023.12.12
[4536629a] OpenBLAS_jll v0.3.27+1
[05823500] OpenLibm_jll v0.8.5+0
[efcefdf7] PCRE2_jll v10.42.0+1
[bea87d4a] SuiteSparse_jll v7.7.0+0
[83775a58] Zlib_jll v1.2.13+1
[8e850b90] libblastrampoline_jll v5.11.0+0
[8e850ede] nghttp2_jll v1.59.0+0
[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 1.11.5
Commit 760b2e5b73 (2025-04-14 06:53 UTC)
Build Info:
Official https://julialang.org/ release
Platform Info:
OS: Windows (x86_64-w64-mingw32)
CPU: 24 × AMD Ryzen 9 5900X 12-Core Processor
WORD_SIZE: 64
LLVM: libLLVM-16.0.6 (ORCJIT, znver3)
Threads: 24 default, 0 interactive, 12 GC (on 24 virtual cores)
Environment:
JULIA_AMGX_PATH = C:\Users\joerg\Documents\AmgX\AMGX\build\Release\amgxsh.dll
JULIA_NUM_THREADS = 24