diff --git a/mlir/test/Integration/Dialect/SparseTensor/GPU/CUDA/sparse-matvec-lib.mlir b/mlir/test/Integration/Dialect/SparseTensor/GPU/CUDA/sparse-matvec-lib.mlir
new file mode 100644
--- /dev/null
+++ b/mlir/test/Integration/Dialect/SparseTensor/GPU/CUDA/sparse-matvec-lib.mlir
@@ -0,0 +1,98 @@
+//
+// NOTE: this test requires gpu-sm80
+//
+// with RT lib (SoA COO):
+//
+// RUN: mlir-opt %s \
+// RUN:   --sparse-compiler="enable-runtime-library=true enable-gpu-libgen gpu-triple=nvptx64-nvidia-cuda gpu-chip=sm_80 gpu-features=+ptx71"  \
+// RUN: | mlir-cpu-runner \
+// RUN:   --shared-libs=%mlir_cuda_runtime \
+// RUN:   --shared-libs=%mlir_runner_utils \
+// RUN:   --e main --entry-point-result=void \
+// RUN: | FileCheck %s
+//
+// TODO: without RT lib (AoS COO):
+
+#SortedCOO = #sparse_tensor.encoding<{
+  dimLevelType = [ "compressed-nu", "singleton" ]
+}>
+
+#CSR = #sparse_tensor.encoding<{
+  dimLevelType = [ "dense", "compressed" ],
+  posWidth = 32,
+  crdWidth = 32
+}>
+
+module {
+  // Compute matrix vector y = Ax on COO with default index coordinates.
+  func.func @matvecCOO(%A: tensor<?x?xf64, #SortedCOO>, %x: tensor<?xf64>, %y_in: tensor<?xf64>) -> tensor<?xf64> {
+    %y_out = linalg.matvec
+      ins(%A, %x: tensor<?x?xf64, #SortedCOO>, tensor<?xf64>)
+      outs(%y_in: tensor<?xf64>) -> tensor<?xf64>
+    return %y_out : tensor<?xf64>
+  }
+
+  // Compute matrix vector y = Ax on CSR with 32-bit positions and coordinates.
+  func.func @matvecCSR(%A: tensor<?x?xf64, #CSR>, %x: tensor<?xf64>, %y_in: tensor<?xf64>) -> tensor<?xf64> {
+    %y_out = linalg.matvec
+      ins(%A, %x: tensor<?x?xf64, #CSR>, tensor<?xf64>)
+      outs(%y_in: tensor<?xf64>) -> tensor<?xf64>
+    return %y_out : tensor<?xf64>
+  }
+
+  func.func @main() {
+    %f0 = arith.constant 0.0 : f64
+    %c0 = arith.constant 0 : index
+    %c1 = arith.constant 1 : index
+
+    // Stress test with a dense matrix DA.
+    %DA = tensor.generate {
+    ^bb0(%i: index, %j: index):
+      %k = arith.addi %i, %j : index
+      %l = arith.index_cast %k : index to i64
+      %f = arith.uitofp %l : i64 to f64
+      tensor.yield %f : f64
+    } : tensor<1024x64xf64>
+
+    // Convert to a "sparse" m x n matrix A.
+    %Acoo = sparse_tensor.convert %DA : tensor<1024x64xf64> to tensor<?x?xf64, #SortedCOO>
+    %Acsr = sparse_tensor.convert %DA : tensor<1024x64xf64> to tensor<?x?xf64, #CSR>
+
+    // Initialize dense vector with n elements:
+    //   (1, 2, 3, 4, ..., n)
+    %d1 = tensor.dim %Acoo, %c1 : tensor<?x?xf64, #SortedCOO>
+    %x = tensor.generate %d1 {
+    ^bb0(%i : index):
+      %k = arith.addi %i, %c1 : index
+      %j = arith.index_cast %k : index to i64
+      %f = arith.uitofp %j : i64 to f64
+      tensor.yield %f : f64
+    } : tensor<?xf64>
+
+    // Initialize dense vector to m zeros.
+    %d0 = tensor.dim %Acoo, %c0 : tensor<?x?xf64, #SortedCOO>
+    %y = tensor.generate %d0 {
+    ^bb0(%i : index):
+      tensor.yield %f0 : f64
+    } : tensor<?xf64>
+
+    // Call the kernels.
+    %0 = call @matvecCOO(%Acoo, %x, %y) : (tensor<?x?xf64, #SortedCOO>, tensor<?xf64>, tensor<?xf64>) -> tensor<?xf64>
+    %1 = call @matvecCSR(%Acsr, %x, %y) : (tensor<?x?xf64, #CSR>,       tensor<?xf64>, tensor<?xf64>) -> tensor<?xf64>
+
+    //
+    // Sanity check on results.
+    //
+    // CHECK-COUNT-2: ( 87360, 89440, 91520, 93600, 95680, 97760, 99840, 101920, 104000, 106080, 108160, 110240, 112320, 114400, 116480, 118560, 120640, 122720, 124800, 126880, 128960, 131040, 133120, 135200, 137280, 139360, 141440, 143520, 145600, 147680, 149760, 151840, 153920, 156000, 158080, 160160, 162240, 164320, 166400, 168480, 170560, 172640, 174720, 176800, 178880, 180960, 183040, 185120, 187200, 189280, 191360, 193440, 195520, 197600, 199680, 201760, 203840, 205920, 208000, 210080, 212160, 214240, 216320, 218400 )
+    //
+    %pb0 = vector.transfer_read %0[%c0], %f0 : tensor<?xf64>, vector<64xf64>
+    vector.print %pb0 : vector<64xf64>
+    %pb1 = vector.transfer_read %0[%c0], %f0 : tensor<?xf64>, vector<64xf64>
+    vector.print %pb1 : vector<64xf64>
+
+    // Release the resources.
+    bufferization.dealloc_tensor %Acoo : tensor<?x?xf64, #SortedCOO>
+    bufferization.dealloc_tensor %Acsr : tensor<?x?xf64, #CSR>
+    return
+  }
+}