diff --git a/src/interpolation/details/ArborX_InterpDetailsSymmetricPseudoInverseSVD.hpp b/src/interpolation/details/ArborX_DetailsSymmetricSVD.hpp
similarity index 97%
rename from src/interpolation/details/ArborX_InterpDetailsSymmetricPseudoInverseSVD.hpp
rename to src/interpolation/details/ArborX_DetailsSymmetricSVD.hpp
index 2c276996d..9e3bd6992 100644
--- a/src/interpolation/details/ArborX_InterpDetailsSymmetricPseudoInverseSVD.hpp
+++ b/src/interpolation/details/ArborX_DetailsSymmetricSVD.hpp
@@ -9,8 +9,8 @@
  * SPDX-License-Identifier: BSD-3-Clause                                    *
  ****************************************************************************/
 
-#ifndef ARBORX_INTERP_DETAILS_SYMMETRIC_PSEUDO_INVERSE_SVD_HPP
-#define ARBORX_INTERP_DETAILS_SYMMETRIC_PSEUDO_INVERSE_SVD_HPP
+#ifndef ARBORX_DETAILS_SYMMETRIC_SVD_HPP
+#define ARBORX_DETAILS_SYMMETRIC_SVD_HPP
 
 #include <ArborX_DetailsKokkosExtAccessibilityTraits.hpp>
 #include <ArborX_Exception.hpp>
@@ -18,7 +18,7 @@
 #include <Kokkos_Core.hpp>
 #include <Kokkos_Profiling_ScopedRegion.hpp>
 
-namespace ArborX::Interpolation::Details
+namespace ArborX::Details
 {
 
 template <typename Matrix>
@@ -246,6 +246,6 @@ KOKKOS_FUNCTION void symmetricPseudoInverseSVDKernel(Matrix &mat, Diag &diag,
     }
 }
 
-} // namespace ArborX::Interpolation::Details
+} // namespace ArborX::Details
 
 #endif
diff --git a/src/interpolation/details/ArborX_InterpDetailsMovingLeastSquaresCoefficients.hpp b/src/interpolation/details/ArborX_InterpDetailsMovingLeastSquaresCoefficients.hpp
index b76ce3d37..a1f9ec5d9 100644
--- a/src/interpolation/details/ArborX_InterpDetailsMovingLeastSquaresCoefficients.hpp
+++ b/src/interpolation/details/ArborX_InterpDetailsMovingLeastSquaresCoefficients.hpp
@@ -14,11 +14,11 @@
 
 #include <ArborX_AccessTraits.hpp>
 #include <ArborX_DetailsKokkosExtAccessibilityTraits.hpp>
+#include <ArborX_DetailsSymmetricSVD.hpp>
 #include <ArborX_GeometryTraits.hpp>
 #include <ArborX_HyperPoint.hpp>
 #include <ArborX_InterpDetailsCompactRadialBasisFunction.hpp>
 #include <ArborX_InterpDetailsPolynomialBasis.hpp>
-#include <ArborX_InterpDetailsSymmetricPseudoInverseSVD.hpp>
 
 #include <Kokkos_Core.hpp>
 #include <Kokkos_Profiling_ScopedRegion.hpp>
@@ -110,7 +110,8 @@ class MovingLeastSquaresCoefficientsKernel
 
     // We need the inverse of P^T.PHI.P, and because it is symmetric, we can use
     // the symmetric SVD algorithm to get it.
-    symmetricPseudoInverseSVDKernel(moment, svd_diag, svd_unit);
+    ::ArborX::Details::symmetricPseudoInverseSVDKernel(moment, svd_diag,
+                                                       svd_unit);
     // Now, the moment has [P^T.PHI.P]^-1
 
     // Finally, the result is produced by computing p(0).[P^T.PHI.P]^-1.P^T.PHI
diff --git a/test/CMakeLists.txt b/test/CMakeLists.txt
index 6a5e426c2..3dbb8b0b9 100644
--- a/test/CMakeLists.txt
+++ b/test/CMakeLists.txt
@@ -49,6 +49,7 @@ add_executable(ArborX_Test_DetailsUtils.exe
   tstAttachIndices.cpp
   tstDetailsVector.cpp
   tstDetailsUtils.cpp
+  tstDetailsSVD.cpp
   tstDetailsKokkosExtStdAlgorithms.cpp
   tstDetailsKokkosExtKernelStdAlgorithms.cpp
   tstDetailsKokkosExtUninitializedMemoryAlgorithms.cpp
@@ -262,7 +263,6 @@ target_compile_definitions(ArborX_Test_BoostAdapters.exe PRIVATE BOOST_TEST_DYN_
 add_test(NAME ArborX_Test_BoostAdapters COMMAND ArborX_Test_BoostAdapters.exe)
 
 add_executable(ArborX_Test_InterpMovingLeastSquares.exe
-  tstInterpDetailsSVD.cpp
   tstInterpDetailsCompactRadialBasisFunction.cpp
   tstInterpDetailsPolyBasis.cpp
   tstInterpDetailsMLSCoefficients.cpp
diff --git a/test/tstInterpDetailsSVD.cpp b/test/tstDetailsSVD.cpp
similarity index 95%
rename from test/tstInterpDetailsSVD.cpp
rename to test/tstDetailsSVD.cpp
index cf6b96cd2..9f54f5f2e 100644
--- a/test/tstInterpDetailsSVD.cpp
+++ b/test/tstDetailsSVD.cpp
@@ -11,7 +11,7 @@
 
 #include "ArborX_EnableDeviceTypes.hpp"
 #include "ArborX_EnableViewComparison.hpp"
-#include <ArborX_InterpDetailsSymmetricPseudoInverseSVD.hpp>
+#include <ArborX_DetailsSymmetricSVD.hpp>
 
 #include "BoostTest_CUDA_clang_workarounds.hpp"
 #include <boost/test/unit_test.hpp>
@@ -45,7 +45,7 @@ void makeCase(ExecutionSpace const &exec, Value const (&src_arr)[M][N][N],
     Kokkos::parallel_for(
         "Testing::run_svd", Kokkos::RangePolicy<ExecutionSpace>(exec, 0, 1),
         KOKKOS_LAMBDA(int) {
-          ArborX::Interpolation::Details::symmetricSVDKernel(inv, diag, unit);
+          ArborX::Details::symmetricSVDKernel(inv, diag, unit);
           for (int p = 0; p < N; ++p)
             for (int q = 0; q < N; ++q)
             {
@@ -61,8 +61,7 @@ void makeCase(ExecutionSpace const &exec, Value const (&src_arr)[M][N][N],
     Kokkos::parallel_for(
         "Testing::run_inverse", Kokkos::RangePolicy<ExecutionSpace>(exec, 0, 1),
         KOKKOS_LAMBDA(int) {
-          ArborX::Interpolation::Details::symmetricPseudoInverseSVDKernel(
-              inv, diag, unit);
+          ArborX::Details::symmetricPseudoInverseSVDKernel(inv, diag, unit);
         });
     ARBORX_MDVIEW_TEST_TOL(ref, inv, Kokkos::Experimental::epsilon_v<float>);
   }