diff --git a/src/TNL/Matrices/Sandbox/SparseSandboxMatrix.h b/src/TNL/Matrices/Sandbox/SparseSandboxMatrix.h
index 27a9dfaa83fb06c2539269e8f21b1f61fa5585ca..2e4d55643cc7995cc1fcb7a9e2f9445d286b9deb 100644
--- a/src/TNL/Matrices/Sandbox/SparseSandboxMatrix.h
+++ b/src/TNL/Matrices/Sandbox/SparseSandboxMatrix.h
@@ -1054,11 +1054,12 @@ public:
    void addMatrix( const SparseMatrix< Real2, Segments, Device, Index2 >& matrix,
                    const RealType& matrixMultiplicator = 1.0,
                    const RealType& thisMatrixMultiplicator = 1.0 );
+   */
 
    template< typename Real2, typename Index2 >
-   void getTransposition( const SparseMatrix< Real2, Segments, Device, Index2 >& matrix,
-                          const RealType& matrixMultiplicator = 1.0 );
-    */
+   void
+   getTransposition( const SparseSandboxMatrix< Real2, Device, Index2, MatrixType >& matrix,
+                     const RealType& matrixMultiplicator = 1.0 );
 
    template< typename Vector1, typename Vector2 >
    bool
diff --git a/src/TNL/Matrices/Sandbox/SparseSandboxMatrix.hpp b/src/TNL/Matrices/Sandbox/SparseSandboxMatrix.hpp
index a5fc69142ab937eb3c4335c26b31032d697d93fe..f84f79f920953136d6b0cb96f2841e1176195536 100644
--- a/src/TNL/Matrices/Sandbox/SparseSandboxMatrix.hpp
+++ b/src/TNL/Matrices/Sandbox/SparseSandboxMatrix.hpp
@@ -521,7 +521,8 @@ SparseSandboxMatrix< Real, Device, Index, MatrixType, RealAllocator, IndexAlloca
    this->sequentialForRows( 0, this->getRows(), function );
 }
 
-/*template< typename Real,
+/*
+template< typename Real,
           template< typename, typename, typename > class Segments,
           typename Device,
           typename Index,
@@ -532,23 +533,67 @@ IndexAllocator2 > void SparseSandboxMatrix< Real, Device, Index, MatrixType, Rea
 SparseSandboxMatrix< Real2, Segments2, Device, Index2, RealAllocator2, IndexAllocator2 >& matrix, const RealType&
 matrixMultiplicator, const RealType& thisMatrixMultiplicator )
 {
-
 }
+*/
 
-template< typename Real,
-          template< typename, typename, typename > class Segments,
-          typename Device,
-          typename Index,
-          typename RealAllocator,
-          typename IndexAllocator >
+template< typename Real, typename Device, typename Index, typename MatrixType, typename RealAllocator, typename IndexAllocator >
 template< typename Real2, typename Index2 >
 void
-SparseSandboxMatrix< Real, Device, Index, MatrixType, RealAllocator, IndexAllocator >::
-getTransposition( const SparseSandboxMatrix< Real2, Device, Index2 >& matrix,
-                  const RealType& matrixMultiplicator )
+SparseSandboxMatrix< Real, Device, Index, MatrixType, RealAllocator, IndexAllocator >::getTransposition(
+   const SparseSandboxMatrix< Real2, Device, Index2, MatrixType >& matrix,
+   const RealType& matrixMultiplicator )
 {
+   // set transposed dimensions
+   setDimensions( matrix.getColumns(), matrix.getRows() );
 
-}*/
+   // stage 1: compute row capacities for the transposition
+   RowsCapacitiesType capacities;
+   capacities.resize( this->getRows(), 0 );
+   auto capacities_view = capacities.getView();
+   using MatrixRowView = typename SparseSandboxMatrix< Real2, Device, Index2, MatrixType >::ConstRowView;
+   matrix.forAllRows(
+      [ = ] __cuda_callable__( const MatrixRowView& row ) mutable
+      {
+         for( IndexType c = 0; c < row.getSize(); c++ ) {
+            // row index of the transpose = column index of the input
+            const IndexType& transRowIdx = row.getColumnIndex( c );
+            if( transRowIdx < 0 )
+               continue;
+            // increment the capacity for the row in the transpose
+            Algorithms::AtomicOperations< DeviceType >::add( capacities_view[ row.getColumnIndex( c ) ], IndexType( 1 ) );
+         }
+      } );
+
+   // set the row capacities
+   setRowCapacities( capacities );
+   capacities.reset();
+
+   // index of the first unwritten element per row
+   RowsCapacitiesType offsets;
+   offsets.resize( this->getRows(), 0 );
+   auto offsets_view = offsets.getView();
+
+   // stage 2: copy and transpose the data
+   auto trans_view = getView();
+   matrix.forAllRows(
+      [ = ] __cuda_callable__( const MatrixRowView& row ) mutable
+      {
+         // row index of the input = column index of the transpose
+         const IndexType& rowIdx = row.getRowIndex();
+         for( IndexType c = 0; c < row.getSize(); c++ ) {
+            // row index of the transpose = column index of the input
+            const IndexType& transRowIdx = row.getColumnIndex( c );
+            if( transRowIdx < 0 )
+               continue;
+            // local index in the row of the transpose
+            const IndexType transLocalIdx =
+               Algorithms::AtomicOperations< DeviceType >::add( offsets_view[ transRowIdx ], IndexType( 1 ) );
+            // get the row in the transposed matrix and set the value
+            auto transRow = trans_view.getRow( transRowIdx );
+            transRow.setElement( transLocalIdx, rowIdx, row.getValue( c ) * matrixMultiplicator );
+         }
+      } );
+}
 
 template< typename Real, typename Device, typename Index, typename MatrixType, typename RealAllocator, typename IndexAllocator >
 template< typename Vector1, typename Vector2 >
diff --git a/src/TNL/Matrices/SparseMatrix.h b/src/TNL/Matrices/SparseMatrix.h
index 76aee6dfb4498c782f9d99c6281e9c264749b5b8..b47ef9c853d991774ac384e2f5cf2f2fb25466e8 100644
--- a/src/TNL/Matrices/SparseMatrix.h
+++ b/src/TNL/Matrices/SparseMatrix.h
@@ -1088,12 +1088,13 @@ public:
    void addMatrix( const SparseMatrix< Real2, Segments, Device, Index2 >& matrix,
                    const RealType& matrixMultiplicator = 1.0,
                    const RealType& thisMatrixMultiplicator = 1.0 );
-
-   template< typename Real2, typename Index2 >
-   void getTransposition( const SparseMatrix< Real2, Segments, Device, Index2 >& matrix,
-                          const RealType& matrixMultiplicator = 1.0 );
     */
 
+   template< typename Real2, typename Index2, template< typename, typename, typename > class Segments2 >
+   void
+   getTransposition( const SparseMatrix< Real2, Device, Index2, MatrixType, Segments2 >& matrix,
+                     const ComputeRealType& matrixMultiplicator = 1.0 );
+
    /**
     * \brief Copy-assignment of exactly the same matrix type.
     *
diff --git a/src/TNL/Matrices/SparseMatrix.hpp b/src/TNL/Matrices/SparseMatrix.hpp
index 9892b948c85f9f8333d76e15da6e5f2456ba4d18..a2d497f1e51cb96c9a9bfb4bb49bbbe631ecb8f3 100644
--- a/src/TNL/Matrices/SparseMatrix.hpp
+++ b/src/TNL/Matrices/SparseMatrix.hpp
@@ -870,7 +870,8 @@ SparseMatrix< Real, Device, Index, MatrixType, Segments, ComputeReal, RealAlloca
    this->sequentialForRows( (IndexType) 0, this->getRows(), function );
 }
 
-/*template< typename Real,
+/*
+template< typename Real,
           template< typename, typename, typename > class Segments,
           typename Device,
           typename Index,
@@ -882,23 +883,75 @@ addMatrix( const SparseMatrix< Real2, Segments2, Device, Index2, RealAllocator2,
            const RealType& matrixMultiplicator,
            const RealType& thisMatrixMultiplicator )
 {
-
 }
+*/
 
 template< typename Real,
-          template< typename, typename, typename > class Segments,
           typename Device,
           typename Index,
+          typename MatrixType,
+          template< typename, typename, typename >
+          class Segments,
+          typename ComputeReal,
           typename RealAllocator,
           typename IndexAllocator >
-template< typename Real2, typename Index2 >
+template< typename Real2, typename Index2, template< typename, typename, typename > class Segments2 >
 void
-SparseMatrix< Real, Device, Index, MatrixType, Segments, ComputeReal, RealAllocator, IndexAllocator >::
-getTransposition( const SparseMatrix< Real2, Device, Index2 >& matrix,
-                  const RealType& matrixMultiplicator )
+SparseMatrix< Real, Device, Index, MatrixType, Segments, ComputeReal, RealAllocator, IndexAllocator >::getTransposition(
+   const SparseMatrix< Real2, Device, Index2, MatrixType, Segments2 >& matrix,
+   const ComputeRealType& matrixMultiplicator )
 {
+   // set transposed dimensions
+   setDimensions( matrix.getColumns(), matrix.getRows() );
+
+   // stage 1: compute row capacities for the transposition
+   RowsCapacitiesType capacities;
+   capacities.resize( this->getRows(), 0 );
+   auto capacities_view = capacities.getView();
+   using MatrixRowView = typename SparseMatrix< Real2, Device, Index2, MatrixType, Segments2 >::ConstRowView;
+   matrix.forAllRows(
+      [ = ] __cuda_callable__( const MatrixRowView& row ) mutable
+      {
+         for( IndexType c = 0; c < row.getSize(); c++ ) {
+            // row index of the transpose = column index of the input
+            const IndexType& transRowIdx = row.getColumnIndex( c );
+            if( transRowIdx == row.getPaddingIndex() )
+               continue;
+            // increment the capacity for the row in the transpose
+            Algorithms::AtomicOperations< DeviceType >::add( capacities_view[ transRowIdx ], IndexType( 1 ) );
+         }
+      } );
+
+   // set the row capacities
+   setRowCapacities( capacities );
+   capacities.reset();
+
+   // index of the first unwritten element per row
+   RowsCapacitiesType offsets;
+   offsets.resize( this->getRows(), 0 );
+   auto offsets_view = offsets.getView();
 
-}*/
+   // stage 2: copy and transpose the data
+   auto trans_view = getView();
+   matrix.forAllRows(
+      [ = ] __cuda_callable__( const MatrixRowView& row ) mutable
+      {
+         // row index of the input = column index of the transpose
+         const IndexType& rowIdx = row.getRowIndex();
+         for( IndexType c = 0; c < row.getSize(); c++ ) {
+            // row index of the transpose = column index of the input
+            const IndexType& transRowIdx = row.getColumnIndex( c );
+            if( transRowIdx == row.getPaddingIndex() )
+               continue;
+            // local index in the row of the transpose
+            const IndexType transLocalIdx =
+               Algorithms::AtomicOperations< DeviceType >::add( offsets_view[ transRowIdx ], IndexType( 1 ) );
+            // get the row in the transposed matrix and set the value
+            auto transRow = trans_view.getRow( transRowIdx );
+            transRow.setElement( transLocalIdx, rowIdx, row.getValue( c ) * matrixMultiplicator );
+         }
+      } );
+}
 
 // copy assignment
 template< typename Real,
diff --git a/src/TNL/Matrices/SparseMatrixView.hpp b/src/TNL/Matrices/SparseMatrixView.hpp
index 9420363b82be57eee4995bffa783ce02fac09114..9ee552fbd6e88be04f9247148690707a78f22f1c 100644
--- a/src/TNL/Matrices/SparseMatrixView.hpp
+++ b/src/TNL/Matrices/SparseMatrixView.hpp
@@ -820,35 +820,6 @@ SparseMatrixView< Real, Device, Index, MatrixType, SegmentsView, ComputeReal >::
    this->sequentialForRows( (IndexType) 0, this->getRows(), function );
 }
 
-/*template< typename Real,
-          template< typename, typename > class SegmentsView,
-          typename Device,
-          typename Index,
-          typename RealAllocator,
-          typename IndexAllocator >
-template< typename Real2, template< typename, typename > class Segments2, typename Index2, typename RealAllocator2, typename
-IndexAllocator2 > void SparseMatrixView< Real, Device, Index, MatrixType, SegmentsView, ComputeReal >:: addMatrix( const
-SparseMatrixView< Real2, Segments2, Device, Index2, RealAllocator2, IndexAllocator2 >& matrix, const RealType&
-matrixMultiplicator, const RealType& thisMatrixMultiplicator )
-{
-
-}
-
-template< typename Real,
-          template< typename, typename > class SegmentsView,
-          typename Device,
-          typename Index,
-          typename RealAllocator,
-          typename IndexAllocator >
-template< typename Real2, typename Index2 >
-void
-SparseMatrixView< Real, Device, Index, MatrixType, SegmentsView, ComputeReal >::
-getTransposition( const SparseMatrixView< Real2, Device, Index2 >& matrix,
-                  const RealType& matrixMultiplicator )
-{
-
-}*/
-
 template< typename Real,
           typename Device,
           typename Index,
diff --git a/src/UnitTests/Matrices/SparseMatrixTest.h b/src/UnitTests/Matrices/SparseMatrixTest.h
index 2281d229709f53214d14c420dd92ff67d093801c..c4086e634807b842b8aa67d23e7fac303854a958 100644
--- a/src/UnitTests/Matrices/SparseMatrixTest.h
+++ b/src/UnitTests/Matrices/SparseMatrixTest.h
@@ -99,10 +99,17 @@ TYPED_TEST( MatrixTest, reduceRows )
     test_reduceRows< MatrixType >();
 }
 
-TYPED_TEST( MatrixTest, saveAndLoadTest )
+TYPED_TEST( MatrixTest, saveAndLoad )
 {
     using MatrixType = typename TestFixture::MatrixType;
 
     test_SaveAndLoad< MatrixType >( saveAndLoadFileName );
 }
+
+TYPED_TEST( MatrixTest, getTransposition )
+{
+    using MatrixType = typename TestFixture::MatrixType;
+
+    test_getTransposition< MatrixType >();
+}
 #endif
diff --git a/src/UnitTests/Matrices/SparseMatrixTest.hpp b/src/UnitTests/Matrices/SparseMatrixTest.hpp
index 0e7884859d63a07c6fd97cd41354fbda590dde79..6a74e06be6eb7eb5dae680ed8db2a99f7cc6840b 100644
--- a/src/UnitTests/Matrices/SparseMatrixTest.hpp
+++ b/src/UnitTests/Matrices/SparseMatrixTest.hpp
@@ -1356,4 +1356,68 @@ void test_SaveAndLoad( const char* filename )
    EXPECT_EQ( std::remove( filename ), 0 );
 }
 
+template< typename Matrix >
+void test_getTransposition()
+{
+   using RealType = typename Matrix::RealType;
+   using IndexType = typename Matrix::IndexType;
+
+   /*
+    * Sets up the following 5x4 sparse matrix:
+    *
+    *    /  1  2  3  0 \
+    *    |  0  4  0  5 |
+    *    |  6  7  8  0 |
+    *    |  0  9 10 11 |
+    *    \ 12  0  0  0 /
+    */
+
+   const IndexType m_rows = 5;
+   const IndexType m_cols = 4;
+
+   Matrix matrix( m_rows, m_cols );
+   typename Matrix::RowsCapacitiesType capacities( m_rows, 4 );
+   matrix.setRowCapacities( capacities );
+
+   RealType value = 1;
+   for( IndexType i = 0; i < m_cols - 1; i++ )   // 0th row
+      matrix.setElement( 0, i, value++ );
+
+   matrix.setElement( 1, 1, value++ );      // 1st row
+   matrix.setElement( 1, 3, value++ );
+
+   for( IndexType i = 0; i < m_cols - 1; i++ )   // 2nd row
+      matrix.setElement( 2, i, value++ );
+
+   for( IndexType i = 1; i < m_cols; i++ )       // 3rd row
+      matrix.setElement( 3, i, value++ );
+
+   matrix.setElement( 4, 0, value++ );      // 4th row
+
+   Matrix transposed;
+   transposed.getTransposition( matrix );
+
+   EXPECT_EQ( transposed.getElement( 0, 0 ),  1 );
+   EXPECT_EQ( transposed.getElement( 1, 0 ),  2 );
+   EXPECT_EQ( transposed.getElement( 2, 0 ),  3 );
+   EXPECT_EQ( transposed.getElement( 3, 0 ),  0 );
+
+   EXPECT_EQ( transposed.getElement( 0, 1 ),  0 );
+   EXPECT_EQ( transposed.getElement( 1, 1 ),  4 );
+   EXPECT_EQ( transposed.getElement( 2, 1 ),  0 );
+   EXPECT_EQ( transposed.getElement( 3, 1 ),  5 );
+
+   EXPECT_EQ( transposed.getElement( 0, 2 ),  6 );
+   EXPECT_EQ( transposed.getElement( 1, 2 ),  7 );
+   EXPECT_EQ( transposed.getElement( 2, 2 ),  8 );
+   EXPECT_EQ( transposed.getElement( 3, 2 ),  0 );
+
+   EXPECT_EQ( transposed.getElement( 0, 3 ),  0 );
+   EXPECT_EQ( transposed.getElement( 1, 3 ),  9 );
+   EXPECT_EQ( transposed.getElement( 2, 3 ), 10 );
+   EXPECT_EQ( transposed.getElement( 3, 3 ), 11 );
+
+   EXPECT_EQ( transposed.getElement( 0, 4 ), 12 );
+}
+
 #endif