diff --git a/ext/LinearSolveCUDAExt.jl b/ext/LinearSolveCUDAExt.jl
index 58e2c3444..e446094e1 100644
--- a/ext/LinearSolveCUDAExt.jl
+++ b/ext/LinearSolveCUDAExt.jl
@@ -5,9 +5,11 @@ using LinearSolve: LinearSolve, is_cusparse, defaultalg, cudss_loaded, DefaultLi
                    DefaultAlgorithmChoice, ALREADY_WARNED_CUDSS, LinearCache,
                    needs_concrete_A,
                    error_no_cudss_lu, init_cacheval, OperatorAssumptions,
-                   CudaOffloadFactorization, CudaOffloadLUFactorization, CudaOffloadQRFactorization,
+                   CudaOffloadFactorization, CudaOffloadLUFactorization,
+                   CudaOffloadQRFactorization,
                    CUDAOffload32MixedLUFactorization,
-                   SparspakFactorization, KLUFactorization, UMFPACKFactorization, LinearVerbosity
+                   SparspakFactorization, KLUFactorization, UMFPACKFactorization,
+                   LinearVerbosity
 using LinearSolve.LinearAlgebra, LinearSolve.SciMLBase, LinearSolve.ArrayInterface
 using SciMLBase: AbstractSciMLOperator
 
@@ -23,11 +25,16 @@ function LinearSolve.defaultalg(A::CUDA.CUSPARSE.CuSparseMatrixCSR{Tv, Ti}, b,
     if LinearSolve.cudss_loaded(A)
         LinearSolve.DefaultLinearSolver(LinearSolve.DefaultAlgorithmChoice.LUFactorization)
     else
-        if !LinearSolve.ALREADY_WARNED_CUDSS[]
-            @warn("CUDSS.jl is required for LU Factorizations on CuSparseMatrixCSR. Please load this library. Falling back to Krylov")
-            LinearSolve.ALREADY_WARNED_CUDSS[] = true
-        end
-        LinearSolve.DefaultLinearSolver(LinearSolve.DefaultAlgorithmChoice.KrylovJL_GMRES)
+        error("CUDSS.jl is required for LU Factorizations on CuSparseMatrixCSR. Please load this library.")
+    end
+end
+
+function LinearSolve.defaultalg(A::CUDA.CUSPARSE.CuSparseMatrixCSC{Tv, Ti}, b,
+        assump::OperatorAssumptions{Bool}) where {Tv, Ti}
+    if LinearSolve.cudss_loaded(A)
+        LinearSolve.DefaultLinearSolver(LinearSolve.DefaultAlgorithmChoice.LUFactorization)
+    else
+        error("CUDSS.jl is required for LU Factorizations on CuSparseMatrixCSC. Please load this library.")
     end
 end
 
@@ -38,6 +45,13 @@ function LinearSolve.error_no_cudss_lu(A::CUDA.CUSPARSE.CuSparseMatrixCSR)
     nothing
 end
 
+function LinearSolve.error_no_cudss_lu(A::CUDA.CUSPARSE.CuSparseMatrixCSC)
+    if !LinearSolve.cudss_loaded(A)
+        error("CUDSS.jl is required for LU Factorizations on CuSparseMatrixCSC. Please load this library.")
+    end
+    nothing
+end
+
 function SciMLBase.solve!(cache::LinearSolve.LinearCache, alg::CudaOffloadLUFactorization;
         kwargs...)
     if cache.isfresh
@@ -52,14 +66,15 @@ function SciMLBase.solve!(cache::LinearSolve.LinearCache, alg::CudaOffloadLUFact
     SciMLBase.build_linear_solution(alg, y, nothing, cache)
 end
 
-function LinearSolve.init_cacheval(alg::CudaOffloadLUFactorization, A::AbstractArray, b, u, Pl, Pr,
+function LinearSolve.init_cacheval(
+        alg::CudaOffloadLUFactorization, A::AbstractArray, b, u, Pl, Pr,
         maxiters::Int, abstol, reltol, verbose::Union{LinearVerbosity, Bool},
         assumptions::OperatorAssumptions)
     # Check if CUDA is functional before creating CUDA arrays
     if !CUDA.functional()
         return nothing
     end
-    
+
     T = eltype(A)
     noUnitT = typeof(zero(T))
     luT = LinearAlgebra.lutype(noUnitT)
@@ -87,7 +102,7 @@ function LinearSolve.init_cacheval(alg::CudaOffloadQRFactorization, A, b, u, Pl,
     if !CUDA.functional()
         return nothing
     end
-    
+
     qr(CUDA.CuArray(A))
 end
 
@@ -104,7 +119,8 @@ function SciMLBase.solve!(cache::LinearSolve.LinearCache, alg::CudaOffloadFactor
     SciMLBase.build_linear_solution(alg, y, nothing, cache)
 end
 
-function LinearSolve.init_cacheval(alg::CudaOffloadFactorization, A::AbstractArray, b, u, Pl, Pr,
+function LinearSolve.init_cacheval(
+        alg::CudaOffloadFactorization, A::AbstractArray, b, u, Pl, Pr,
         maxiters::Int, abstol, reltol, verbose::Union{LinearVerbosity, Bool},
         assumptions::OperatorAssumptions)
     qr(CUDA.CuArray(A))
@@ -112,27 +128,33 @@ end
 
 function LinearSolve.init_cacheval(
         ::SparspakFactorization, A::CUDA.CUSPARSE.CuSparseMatrixCSR, b, u,
-        Pl, Pr, maxiters::Int, abstol, reltol, verbose::Union{LinearVerbosity, Bool}, assumptions::OperatorAssumptions)
+        Pl, Pr, maxiters::Int, abstol, reltol,
+        verbose::Union{LinearVerbosity, Bool}, assumptions::OperatorAssumptions)
     nothing
 end
 
 function LinearSolve.init_cacheval(
         ::KLUFactorization, A::CUDA.CUSPARSE.CuSparseMatrixCSR, b, u,
-        Pl, Pr, maxiters::Int, abstol, reltol, verbose::Union{LinearVerbosity, Bool}, assumptions::OperatorAssumptions)
+        Pl, Pr, maxiters::Int, abstol, reltol,
+        verbose::Union{LinearVerbosity, Bool}, assumptions::OperatorAssumptions)
     nothing
 end
 
 function LinearSolve.init_cacheval(
         ::UMFPACKFactorization, A::CUDA.CUSPARSE.CuSparseMatrixCSR, b, u,
-        Pl, Pr, maxiters::Int, abstol, reltol, verbose::Union{LinearVerbosity, Bool}, assumptions::OperatorAssumptions)
+        Pl, Pr, maxiters::Int, abstol, reltol,
+        verbose::Union{LinearVerbosity, Bool}, assumptions::OperatorAssumptions)
     nothing
 end
 
 # Mixed precision CUDA LU implementation
-function SciMLBase.solve!(cache::LinearSolve.LinearCache, alg::CUDAOffload32MixedLUFactorization;
+function SciMLBase.solve!(
+        cache::LinearSolve.LinearCache, alg::CUDAOffload32MixedLUFactorization;
         kwargs...)
     if cache.isfresh
-        fact, A_gpu_f32, b_gpu_f32, u_gpu_f32 = LinearSolve.@get_cacheval(cache, :CUDAOffload32MixedLUFactorization)
+        fact, A_gpu_f32,
+        b_gpu_f32,
+        u_gpu_f32 = LinearSolve.@get_cacheval(cache, :CUDAOffload32MixedLUFactorization)
         # Compute 32-bit type on demand and convert
         T32 = eltype(cache.A) <: Complex ? ComplexF32 : Float32
         A_f32 = T32.(cache.A)
@@ -141,12 +163,14 @@ function SciMLBase.solve!(cache::LinearSolve.LinearCache, alg::CUDAOffload32Mixe
         cache.cacheval = (fact, A_gpu_f32, b_gpu_f32, u_gpu_f32)
         cache.isfresh = false
     end
-    fact, A_gpu_f32, b_gpu_f32, u_gpu_f32 = LinearSolve.@get_cacheval(cache, :CUDAOffload32MixedLUFactorization)
-    
+    fact, A_gpu_f32,
+    b_gpu_f32,
+    u_gpu_f32 = LinearSolve.@get_cacheval(cache, :CUDAOffload32MixedLUFactorization)
+
     # Compute types on demand for conversions
     T32 = eltype(cache.A) <: Complex ? ComplexF32 : Float32
     Torig = eltype(cache.u)
-    
+
     # Convert b to Float32, solve, then convert back to original precision
     b_f32 = T32.(cache.b)
     copyto!(b_gpu_f32, b_f32)
diff --git a/ext/LinearSolveCUDSSExt.jl b/ext/LinearSolveCUDSSExt.jl
index 506ada99a..bbcf635f0 100644
--- a/ext/LinearSolveCUDSSExt.jl
+++ b/ext/LinearSolveCUDSSExt.jl
@@ -4,5 +4,6 @@ using LinearSolve: LinearSolve, cudss_loaded
 using CUDSS
 
 LinearSolve.cudss_loaded(A::CUDSS.CUDA.CUSPARSE.CuSparseMatrixCSR) = true
+LinearSolve.cudss_loaded(A::CUDSS.CUDA.CUSPARSE.CuSparseMatrixCSC) = true
 
 end