diff --git a/test/test_cudss.jl b/test/test_cudss.jl
index 1fc01d0..233b7a4 100644
--- a/test/test_cudss.jl
+++ b/test/test_cudss.jl
@@ -512,13 +512,19 @@ function iterative_refinement()
     return norm(r_gpu)
   end
 
-  function ir_ldlt(T, A_cpu, x_cpu, b_cpu, ir)
-    A_gpu = CuSparseMatrixCSR(A_cpu |> tril)
+  function ir_ldlt(T, A_cpu, x_cpu, b_cpu, ir, uplo)
+    if uplo == 'L'
+      A_gpu = CuSparseMatrixCSR(A_cpu |> tril)
+    elseif uplo == 'U'
+      A_gpu = CuSparseMatrixCSR(A_cpu |> triu)
+    else
+      A_gpu = CuSparseMatrixCSR(A_cpu)
+    end
     x_gpu = CuVector(x_cpu)
     b_gpu = CuVector(b_cpu)
 
     structure = T <: Real ? "S" : "H"
-    solver = CudssSolver(A_gpu, structure, 'L')
+    solver = CudssSolver(A_gpu, structure, uplo)
     cudss_set(solver, "ir_n_steps", ir)
 
     cudss("analysis", solver, x_gpu, b_gpu)
@@ -529,13 +535,19 @@ function iterative_refinement()
     return norm(r_gpu)
   end
 
-  function ir_llt(T, A_cpu, x_cpu, b_cpu, ir)
-    A_gpu = CuSparseMatrixCSR(A_cpu |> triu)
+  function ir_llt(T, A_cpu, x_cpu, b_cpu, ir, uplo)
+    if uplo == 'L'
+      A_gpu = CuSparseMatrixCSR(A_cpu |> tril)
+    elseif uplo == 'U'
+      A_gpu = CuSparseMatrixCSR(A_cpu |> triu)
+    else
+      A_gpu = CuSparseMatrixCSR(A_cpu)
+    end
     x_gpu = CuVector(x_cpu)
     b_gpu = CuVector(b_cpu)
 
     structure = T <: Real ? "SPD" : "HPD"
-    solver = CudssSolver(A_gpu, structure, 'U')
+    solver = CudssSolver(A_gpu, structure, uplo)
     cudss_set(solver, "ir_n_steps", ir)
 
     cudss("analysis", solver, x_gpu, b_gpu)
@@ -562,16 +574,20 @@ function iterative_refinement()
         A_cpu = A_cpu + A_cpu'
         x_cpu = zeros(T, n)
         b_cpu = rand(T, n)
-        res = ir_ldlt(T, A_cpu, x_cpu, b_cpu, ir)
-        @test res ≤ √eps(R)
+        @testset "uplo = $uplo" for uplo in ('L', 'U', 'F')
+          res = ir_ldlt(T, A_cpu, x_cpu, b_cpu, ir, uplo)
+          @test res ≤ √eps(R)
+        end
       end
       @testset "LLᵀ / LLᴴ" begin
         A_cpu = sprand(T, n, n, 0.01)
         A_cpu = A_cpu * A_cpu' + I
         x_cpu = zeros(T, n)
         b_cpu = rand(T, n)
-        res = ir_llt(T, A_cpu, x_cpu, b_cpu, ir)
-        @test res ≤ √eps(R)
+        @testset "uplo = $uplo" for uplo in ('L', 'U', 'F')
+          res = ir_llt(T, A_cpu, x_cpu, b_cpu, ir, uplo)
+          @test res ≤ √eps(R)
+        end
       end
     end
   end