diff --git a/core/matrix/coo.cpp b/core/matrix/coo.cpp
index b9648d1dc70..50b42d04ab4 100644
--- a/core/matrix/coo.cpp
+++ b/core/matrix/coo.cpp
@@ -239,7 +239,7 @@ Coo<ValueType, IndexType>::extract_diagonal() const
 
 
 template <typename ValueType, typename IndexType>
-void Coo<ValueType, IndexType>::apply_absolute()
+void Coo<ValueType, IndexType>::compute_absolute_inplace()
 {
     auto exec = this->get_executor();
 
@@ -250,7 +250,7 @@ void Coo<ValueType, IndexType>::apply_absolute()
 
 template <typename ValueType, typename IndexType>
 std::unique_ptr<typename Coo<ValueType, IndexType>::outplace_absolute_type>
-Coo<ValueType, IndexType>::get_absolute() const
+Coo<ValueType, IndexType>::compute_absolute() const
 {
     auto exec = this->get_executor();
 
diff --git a/core/matrix/csr.cpp b/core/matrix/csr.cpp
index 8a6ad620885..605f7b09fed 100644
--- a/core/matrix/csr.cpp
+++ b/core/matrix/csr.cpp
@@ -487,7 +487,7 @@ Csr<ValueType, IndexType>::extract_diagonal() const
 
 
 template <typename ValueType, typename IndexType>
-void Csr<ValueType, IndexType>::apply_absolute()
+void Csr<ValueType, IndexType>::compute_absolute_inplace()
 {
     auto exec = this->get_executor();
 
@@ -498,7 +498,7 @@ void Csr<ValueType, IndexType>::apply_absolute()
 
 template <typename ValueType, typename IndexType>
 std::unique_ptr<typename Csr<ValueType, IndexType>::outplace_absolute_type>
-Csr<ValueType, IndexType>::get_absolute() const
+Csr<ValueType, IndexType>::compute_absolute() const
 {
     auto exec = this->get_executor();
 
diff --git a/core/matrix/dense.cpp b/core/matrix/dense.cpp
index 19152c62d9a..e51ad7bcff1 100644
--- a/core/matrix/dense.cpp
+++ b/core/matrix/dense.cpp
@@ -755,7 +755,7 @@ std::unique_ptr<Diagonal<ValueType>> Dense<ValueType>::extract_diagonal() const
 
 
 template <typename ValueType>
-void Dense<ValueType>::apply_absolute()
+void Dense<ValueType>::compute_absolute_inplace()
 {
     auto exec = this->get_executor();
 
@@ -765,7 +765,7 @@ void Dense<ValueType>::apply_absolute()
 
 template <typename ValueType>
 std::unique_ptr<typename Dense<ValueType>::outplace_absolute_type>
-Dense<ValueType>::get_absolute() const
+Dense<ValueType>::compute_absolute() const
 {
     auto exec = this->get_executor();
 
diff --git a/core/matrix/diagonal.cpp b/core/matrix/diagonal.cpp
index e136e90a919..e1cb767efbf 100644
--- a/core/matrix/diagonal.cpp
+++ b/core/matrix/diagonal.cpp
@@ -267,7 +267,7 @@ void Diagonal<ValueType>::write(mat_data32 &data) const
 
 
 template <typename ValueType>
-void Diagonal<ValueType>::apply_absolute()
+void Diagonal<ValueType>::compute_absolute_inplace()
 {
     auto exec = this->get_executor();
 
@@ -278,7 +278,7 @@ void Diagonal<ValueType>::apply_absolute()
 
 template <typename ValueType>
 std::unique_ptr<typename Diagonal<ValueType>::outplace_absolute_type>
-Diagonal<ValueType>::get_absolute() const
+Diagonal<ValueType>::compute_absolute() const
 {
     auto exec = this->get_executor();
 
diff --git a/core/matrix/ell.cpp b/core/matrix/ell.cpp
index 28acf7a3a39..26f518d2cbc 100644
--- a/core/matrix/ell.cpp
+++ b/core/matrix/ell.cpp
@@ -257,7 +257,7 @@ Ell<ValueType, IndexType>::extract_diagonal() const
 
 
 template <typename ValueType, typename IndexType>
-void Ell<ValueType, IndexType>::apply_absolute()
+void Ell<ValueType, IndexType>::compute_absolute_inplace()
 {
     auto exec = this->get_executor();
 
@@ -268,7 +268,7 @@ void Ell<ValueType, IndexType>::apply_absolute()
 
 template <typename ValueType, typename IndexType>
 std::unique_ptr<typename Ell<ValueType, IndexType>::outplace_absolute_type>
-Ell<ValueType, IndexType>::get_absolute() const
+Ell<ValueType, IndexType>::compute_absolute() const
 {
     auto exec = this->get_executor();
 
diff --git a/core/matrix/hybrid.cpp b/core/matrix/hybrid.cpp
index cd5adcfbdcd..9487bd99a4e 100644
--- a/core/matrix/hybrid.cpp
+++ b/core/matrix/hybrid.cpp
@@ -291,7 +291,7 @@ Hybrid<ValueType, IndexType>::extract_diagonal() const
 
 
 template <typename ValueType, typename IndexType>
-void Hybrid<ValueType, IndexType>::apply_absolute()
+void Hybrid<ValueType, IndexType>::compute_absolute_inplace()
 {
     auto exec = this->get_executor();
 
@@ -304,15 +304,15 @@ void Hybrid<ValueType, IndexType>::apply_absolute()
 
 template <typename ValueType, typename IndexType>
 std::unique_ptr<typename Hybrid<ValueType, IndexType>::outplace_absolute_type>
-Hybrid<ValueType, IndexType>::get_absolute() const
+Hybrid<ValueType, IndexType>::compute_absolute() const
 {
     auto exec = this->get_executor();
 
     // use default strategy
     auto abs_hybrid = outplace_absolute_type::create(exec, this->get_size());
 
-    abs_hybrid->ell_->copy_from(ell_->get_absolute());
-    abs_hybrid->coo_->copy_from(coo_->get_absolute());
+    abs_hybrid->ell_->copy_from(ell_->compute_absolute());
+    abs_hybrid->coo_->copy_from(coo_->compute_absolute());
 
     return abs_hybrid;
 }
diff --git a/core/matrix/sellp.cpp b/core/matrix/sellp.cpp
index e57555c067b..81af57b5dd6 100644
--- a/core/matrix/sellp.cpp
+++ b/core/matrix/sellp.cpp
@@ -310,7 +310,7 @@ Sellp<ValueType, IndexType>::extract_diagonal() const
 
 
 template <typename ValueType, typename IndexType>
-void Sellp<ValueType, IndexType>::apply_absolute()
+void Sellp<ValueType, IndexType>::compute_absolute_inplace()
 {
     auto exec = this->get_executor();
 
@@ -321,7 +321,7 @@ void Sellp<ValueType, IndexType>::apply_absolute()
 
 template <typename ValueType, typename IndexType>
 std::unique_ptr<typename Sellp<ValueType, IndexType>::outplace_absolute_type>
-Sellp<ValueType, IndexType>::get_absolute() const
+Sellp<ValueType, IndexType>::compute_absolute() const
 {
     auto exec = this->get_executor();
 
diff --git a/core/test/base/lin_op.cpp b/core/test/base/lin_op.cpp
index e5eea7d7c70..497396efaeb 100644
--- a/core/test/base/lin_op.cpp
+++ b/core/test/base/lin_op.cpp
@@ -331,9 +331,9 @@ class DummyLinOpWithType
         : gko::EnableLinOp<DummyLinOpWithType>(exec, size), value_(value)
     {}
 
-    void apply_absolute() override { value_ = gko::abs(value_); }
+    void compute_absolute_inplace() override { value_ = gko::abs(value_); }
 
-    std::unique_ptr<outplace_absolute_type> get_absolute() const override
+    std::unique_ptr<outplace_absolute_type> compute_absolute() const override
     {
         return std::make_unique<outplace_absolute_type>(
             this->get_executor(), this->get_size(), gko::abs(value_));
@@ -369,7 +369,7 @@ class EnableAbsoluteComputation : public ::testing::Test {
 
 TEST_F(EnableAbsoluteComputation, InplaceAbsoluteOnConcreteType)
 {
-    op->apply_absolute();
+    op->compute_absolute_inplace();
 
     ASSERT_EQ(op->get_value(), std::complex<double>{5.0});
 }
@@ -377,7 +377,7 @@ TEST_F(EnableAbsoluteComputation, InplaceAbsoluteOnConcreteType)
 
 TEST_F(EnableAbsoluteComputation, OutplaceAbsoluteOnConcreteType)
 {
-    auto abs_op = op->get_absolute();
+    auto abs_op = op->compute_absolute();
 
     ASSERT_EQ(typeid(abs_op),
               typeid(std::unique_ptr<gko::remove_complex<dummy_type>>));
@@ -389,7 +389,7 @@ TEST_F(EnableAbsoluteComputation, InplaceAbsoluteOnAbsoluteComputable)
 {
     auto linop = gko::as<gko::LinOp>(op);
 
-    gko::as<gko::AbsoluteComputable>(linop)->apply_absolute();
+    gko::as<gko::AbsoluteComputable>(linop)->compute_absolute_inplace();
 
     ASSERT_EQ(gko::as<dummy_type>(linop)->get_value(),
               std::complex<double>{5.0});
@@ -398,7 +398,7 @@ TEST_F(EnableAbsoluteComputation, InplaceAbsoluteOnAbsoluteComputable)
 
 TEST_F(EnableAbsoluteComputation, OutplaceAbsoluteOnAbsoluteComputable)
 {
-    auto abs_op = op->get_absolute();
+    auto abs_op = op->compute_absolute();
 
     ASSERT_EQ(typeid(abs_op),
               typeid(std::unique_ptr<gko::remove_complex<dummy_type>>));
diff --git a/cuda/test/matrix/coo_kernels.cpp b/cuda/test/matrix/coo_kernels.cpp
index 7575314ad7e..cc52e895097 100644
--- a/cuda/test/matrix/coo_kernels.cpp
+++ b/cuda/test/matrix/coo_kernels.cpp
@@ -275,8 +275,8 @@ TEST_F(Coo, InplaceAbsoluteMatrixIsEquivalentToRef)
 {
     set_up_apply_data();
 
-    mtx->apply_absolute();
-    dmtx->apply_absolute();
+    mtx->compute_absolute_inplace();
+    dmtx->compute_absolute_inplace();
 
     GKO_ASSERT_MTX_NEAR(mtx.get(), dmtx.get(), 1e-14);
 }
@@ -286,8 +286,8 @@ TEST_F(Coo, OutplaceAbsoluteMatrixIsEquivalentToRef)
 {
     set_up_apply_data();
 
-    auto abs_mtx = mtx->get_absolute();
-    auto dabs_mtx = dmtx->get_absolute();
+    auto abs_mtx = mtx->compute_absolute();
+    auto dabs_mtx = dmtx->compute_absolute();
 
     GKO_ASSERT_MTX_NEAR(abs_mtx.get(), dabs_mtx.get(), 1e-14);
 }
diff --git a/cuda/test/matrix/csr_kernels.cpp b/cuda/test/matrix/csr_kernels.cpp
index d51ea16bc33..f8a171719a1 100644
--- a/cuda/test/matrix/csr_kernels.cpp
+++ b/cuda/test/matrix/csr_kernels.cpp
@@ -744,8 +744,8 @@ TEST_F(Csr, InplaceAbsoluteMatrixIsEquivalentToRef)
 {
     set_up_apply_data(std::make_shared<Mtx::automatical>(cuda));
 
-    mtx->apply_absolute();
-    dmtx->apply_absolute();
+    mtx->compute_absolute_inplace();
+    dmtx->compute_absolute_inplace();
 
     GKO_ASSERT_MTX_NEAR(mtx.get(), dmtx.get(), 1e-14);
 }
@@ -755,8 +755,8 @@ TEST_F(Csr, OutplaceAbsoluteMatrixIsEquivalentToRef)
 {
     set_up_apply_data(std::make_shared<Mtx::automatical>(cuda));
 
-    auto abs_mtx = mtx->get_absolute();
-    auto dabs_mtx = dmtx->get_absolute();
+    auto abs_mtx = mtx->compute_absolute();
+    auto dabs_mtx = dmtx->compute_absolute();
 
     GKO_ASSERT_MTX_NEAR(abs_mtx.get(), dabs_mtx.get(), 1e-14);
 }
@@ -766,8 +766,8 @@ TEST_F(Csr, InplaceAbsoluteComplexMatrixIsEquivalentToRef)
 {
     set_up_apply_complex_data(std::make_shared<ComplexMtx::automatical>(cuda));
 
-    complex_mtx->apply_absolute();
-    complex_dmtx->apply_absolute();
+    complex_mtx->compute_absolute_inplace();
+    complex_dmtx->compute_absolute_inplace();
 
     GKO_ASSERT_MTX_NEAR(complex_mtx.get(), complex_dmtx.get(), 1e-14);
 }
@@ -777,8 +777,8 @@ TEST_F(Csr, OutplaceAbsoluteComplexMatrixIsEquivalentToRef)
 {
     set_up_apply_complex_data(std::make_shared<ComplexMtx::automatical>(cuda));
 
-    auto abs_mtx = complex_mtx->get_absolute();
-    auto dabs_mtx = complex_dmtx->get_absolute();
+    auto abs_mtx = complex_mtx->compute_absolute();
+    auto dabs_mtx = complex_dmtx->compute_absolute();
 
     GKO_ASSERT_MTX_NEAR(abs_mtx.get(), dabs_mtx.get(), 1e-14);
 }
diff --git a/cuda/test/matrix/dense_kernels.cpp b/cuda/test/matrix/dense_kernels.cpp
index 1121b994fd6..38273b107e1 100644
--- a/cuda/test/matrix/dense_kernels.cpp
+++ b/cuda/test/matrix/dense_kernels.cpp
@@ -591,8 +591,8 @@ TEST_F(Dense, InplaceAbsoluteMatrixIsEquivalentToRef)
 {
     set_up_apply_data();
 
-    x->apply_absolute();
-    dx->apply_absolute();
+    x->compute_absolute_inplace();
+    dx->compute_absolute_inplace();
 
     GKO_ASSERT_MTX_NEAR(x.get(), dx.get(), 1e-14);
 }
@@ -602,8 +602,8 @@ TEST_F(Dense, OutplaceAbsoluteMatrixIsEquivalentToRef)
 {
     set_up_apply_data();
 
-    auto abs_x = x->get_absolute();
-    auto dabs_x = dx->get_absolute();
+    auto abs_x = x->compute_absolute();
+    auto dabs_x = dx->compute_absolute();
 
     GKO_ASSERT_MTX_NEAR(abs_x.get(), dabs_x.get(), 1e-14);
 }
diff --git a/cuda/test/matrix/diagonal_kernels.cpp b/cuda/test/matrix/diagonal_kernels.cpp
index 6a357769022..a3471be6929 100644
--- a/cuda/test/matrix/diagonal_kernels.cpp
+++ b/cuda/test/matrix/diagonal_kernels.cpp
@@ -253,8 +253,8 @@ TEST_F(Diagonal, InplaceAbsoluteMatrixIsEquivalentToRef)
 {
     set_up_apply_data();
 
-    diag->apply_absolute();
-    ddiag->apply_absolute();
+    diag->compute_absolute_inplace();
+    ddiag->compute_absolute_inplace();
 
     GKO_ASSERT_MTX_NEAR(diag.get(), ddiag.get(), 1e-14);
 }
@@ -264,8 +264,8 @@ TEST_F(Diagonal, OutplaceAbsoluteMatrixIsEquivalentToRef)
 {
     set_up_apply_data();
 
-    auto abs_diag = diag->get_absolute();
-    auto dabs_diag = ddiag->get_absolute();
+    auto abs_diag = diag->compute_absolute();
+    auto dabs_diag = ddiag->compute_absolute();
 
     GKO_ASSERT_MTX_NEAR(abs_diag.get(), dabs_diag.get(), 1e-14);
 }
diff --git a/cuda/test/matrix/ell_kernels.cpp b/cuda/test/matrix/ell_kernels.cpp
index 3df92e8c859..86a2ed1d099 100644
--- a/cuda/test/matrix/ell_kernels.cpp
+++ b/cuda/test/matrix/ell_kernels.cpp
@@ -360,8 +360,8 @@ TEST_F(Ell, InplaceAbsoluteMatrixIsEquivalentToRef)
 {
     set_up_apply_data();
 
-    mtx->apply_absolute();
-    dmtx->apply_absolute();
+    mtx->compute_absolute_inplace();
+    dmtx->compute_absolute_inplace();
 
     GKO_ASSERT_MTX_NEAR(mtx.get(), dmtx.get(), 1e-14);
 }
@@ -371,8 +371,8 @@ TEST_F(Ell, OutplaceAbsoluteMatrixIsEquivalentToRef)
 {
     set_up_apply_data();
 
-    auto abs_mtx = mtx->get_absolute();
-    auto dabs_mtx = dmtx->get_absolute();
+    auto abs_mtx = mtx->compute_absolute();
+    auto dabs_mtx = dmtx->compute_absolute();
 
     GKO_ASSERT_MTX_NEAR(abs_mtx.get(), dabs_mtx.get(), 1e-14);
 }
diff --git a/cuda/test/matrix/hybrid_kernels.cpp b/cuda/test/matrix/hybrid_kernels.cpp
index f9adc82ff53..eb8b5ba7669 100644
--- a/cuda/test/matrix/hybrid_kernels.cpp
+++ b/cuda/test/matrix/hybrid_kernels.cpp
@@ -235,8 +235,8 @@ TEST_F(Hybrid, InplaceAbsoluteMatrixIsEquivalentToRef)
 {
     set_up_apply_data();
 
-    mtx->apply_absolute();
-    dmtx->apply_absolute();
+    mtx->compute_absolute_inplace();
+    dmtx->compute_absolute_inplace();
 
     GKO_ASSERT_MTX_NEAR(mtx.get(), dmtx.get(), 1e-14);
 }
@@ -246,8 +246,8 @@ TEST_F(Hybrid, OutplaceAbsoluteMatrixIsEquivalentToRef)
 {
     set_up_apply_data();
 
-    auto abs_mtx = mtx->get_absolute();
-    auto dabs_mtx = dmtx->get_absolute();
+    auto abs_mtx = mtx->compute_absolute();
+    auto dabs_mtx = dmtx->compute_absolute();
 
     GKO_ASSERT_MTX_NEAR(abs_mtx.get(), dabs_mtx.get(), 1e-14);
 }
diff --git a/cuda/test/matrix/sellp_kernels.cpp b/cuda/test/matrix/sellp_kernels.cpp
index 43375ffb0cf..91f063de36a 100644
--- a/cuda/test/matrix/sellp_kernels.cpp
+++ b/cuda/test/matrix/sellp_kernels.cpp
@@ -354,8 +354,8 @@ TEST_F(Sellp, InplaceAbsoluteMatrixIsEquivalentToRef)
 {
     set_up_apply_matrix(32, 2);
 
-    mtx->apply_absolute();
-    dmtx->apply_absolute();
+    mtx->compute_absolute_inplace();
+    dmtx->compute_absolute_inplace();
 
     GKO_ASSERT_MTX_NEAR(mtx.get(), dmtx.get(), 1e-14);
 }
@@ -365,8 +365,8 @@ TEST_F(Sellp, OutplaceAbsoluteMatrixIsEquivalentToRef)
 {
     set_up_apply_matrix(32, 2);
 
-    auto abs_mtx = mtx->get_absolute();
-    auto dabs_mtx = dmtx->get_absolute();
+    auto abs_mtx = mtx->compute_absolute();
+    auto dabs_mtx = dmtx->compute_absolute();
 
     GKO_ASSERT_MTX_NEAR(abs_mtx.get(), dabs_mtx.get(), 1e-14);
 }
diff --git a/hip/test/matrix/coo_kernels.hip.cpp b/hip/test/matrix/coo_kernels.hip.cpp
index 470694c1ece..b235da23077 100644
--- a/hip/test/matrix/coo_kernels.hip.cpp
+++ b/hip/test/matrix/coo_kernels.hip.cpp
@@ -275,8 +275,8 @@ TEST_F(Coo, InplaceAbsoluteMatrixIsEquivalentToRef)
 {
     set_up_apply_data();
 
-    mtx->apply_absolute();
-    dmtx->apply_absolute();
+    mtx->compute_absolute_inplace();
+    dmtx->compute_absolute_inplace();
 
     GKO_ASSERT_MTX_NEAR(mtx.get(), dmtx.get(), 1e-14);
 }
@@ -286,8 +286,8 @@ TEST_F(Coo, OutplaceAbsoluteMatrixIsEquivalentToRef)
 {
     set_up_apply_data();
 
-    auto abs_mtx = mtx->get_absolute();
-    auto dabs_mtx = dmtx->get_absolute();
+    auto abs_mtx = mtx->compute_absolute();
+    auto dabs_mtx = dmtx->compute_absolute();
 
     GKO_ASSERT_MTX_NEAR(abs_mtx.get(), dabs_mtx.get(), 1e-14);
 }
diff --git a/hip/test/matrix/csr_kernels.hip.cpp b/hip/test/matrix/csr_kernels.hip.cpp
index cbcb3c1b37e..2a2a8260cbf 100644
--- a/hip/test/matrix/csr_kernels.hip.cpp
+++ b/hip/test/matrix/csr_kernels.hip.cpp
@@ -729,8 +729,8 @@ TEST_F(Csr, InplaceAbsoluteMatrixIsEquivalentToRef)
 {
     set_up_apply_data(std::make_shared<Mtx::automatical>(hip));
 
-    mtx->apply_absolute();
-    dmtx->apply_absolute();
+    mtx->compute_absolute_inplace();
+    dmtx->compute_absolute_inplace();
 
     GKO_ASSERT_MTX_NEAR(mtx.get(), dmtx.get(), 1e-14);
 }
@@ -740,8 +740,8 @@ TEST_F(Csr, OutplaceAbsoluteMatrixIsEquivalentToRef)
 {
     set_up_apply_data(std::make_shared<Mtx::automatical>(hip));
 
-    auto abs_mtx = mtx->get_absolute();
-    auto dabs_mtx = dmtx->get_absolute();
+    auto abs_mtx = mtx->compute_absolute();
+    auto dabs_mtx = dmtx->compute_absolute();
 
     GKO_ASSERT_MTX_NEAR(abs_mtx.get(), dabs_mtx.get(), 1e-14);
 }
@@ -751,8 +751,8 @@ TEST_F(Csr, InplaceAbsoluteComplexMatrixIsEquivalentToRef)
 {
     set_up_apply_complex_data(std::make_shared<ComplexMtx::automatical>(hip));
 
-    complex_mtx->apply_absolute();
-    complex_dmtx->apply_absolute();
+    complex_mtx->compute_absolute_inplace();
+    complex_dmtx->compute_absolute_inplace();
 
     GKO_ASSERT_MTX_NEAR(complex_mtx.get(), complex_dmtx.get(), 1e-14);
 }
@@ -762,8 +762,8 @@ TEST_F(Csr, OutplaceAbsoluteComplexMatrixIsEquivalentToRef)
 {
     set_up_apply_complex_data(std::make_shared<ComplexMtx::automatical>(hip));
 
-    auto abs_mtx = complex_mtx->get_absolute();
-    auto dabs_mtx = complex_dmtx->get_absolute();
+    auto abs_mtx = complex_mtx->compute_absolute();
+    auto dabs_mtx = complex_dmtx->compute_absolute();
 
     GKO_ASSERT_MTX_NEAR(abs_mtx.get(), dabs_mtx.get(), 1e-14);
 }
diff --git a/hip/test/matrix/dense_kernels.hip.cpp b/hip/test/matrix/dense_kernels.hip.cpp
index 86e907d27ab..a1dd4f34ec8 100644
--- a/hip/test/matrix/dense_kernels.hip.cpp
+++ b/hip/test/matrix/dense_kernels.hip.cpp
@@ -573,8 +573,8 @@ TEST_F(Dense, InplaceAbsoluteMatrixIsEquivalentToRef)
 {
     set_up_apply_data();
 
-    x->apply_absolute();
-    dx->apply_absolute();
+    x->compute_absolute_inplace();
+    dx->compute_absolute_inplace();
 
     GKO_ASSERT_MTX_NEAR(x.get(), dx.get(), 1e-14);
 }
@@ -584,8 +584,8 @@ TEST_F(Dense, OutplaceAbsoluteMatrixIsEquivalentToRef)
 {
     set_up_apply_data();
 
-    auto abs_x = x->get_absolute();
-    auto dabs_x = dx->get_absolute();
+    auto abs_x = x->compute_absolute();
+    auto dabs_x = dx->compute_absolute();
 
     GKO_ASSERT_MTX_NEAR(abs_x.get(), dabs_x.get(), 1e-14);
 }
diff --git a/hip/test/matrix/diagonal_kernels.hip.cpp b/hip/test/matrix/diagonal_kernels.hip.cpp
index dd89c7945e5..d86e878dd66 100644
--- a/hip/test/matrix/diagonal_kernels.hip.cpp
+++ b/hip/test/matrix/diagonal_kernels.hip.cpp
@@ -253,8 +253,8 @@ TEST_F(Diagonal, InplaceAbsoluteMatrixIsEquivalentToRef)
 {
     set_up_apply_data();
 
-    diag->apply_absolute();
-    ddiag->apply_absolute();
+    diag->compute_absolute_inplace();
+    ddiag->compute_absolute_inplace();
 
     GKO_ASSERT_MTX_NEAR(diag.get(), ddiag.get(), 1e-14);
 }
@@ -264,8 +264,8 @@ TEST_F(Diagonal, OutplaceAbsoluteMatrixIsEquivalentToRef)
 {
     set_up_apply_data();
 
-    auto abs_diag = diag->get_absolute();
-    auto dabs_diag = ddiag->get_absolute();
+    auto abs_diag = diag->compute_absolute();
+    auto dabs_diag = ddiag->compute_absolute();
 
     GKO_ASSERT_MTX_NEAR(abs_diag.get(), dabs_diag.get(), 1e-14);
 }
diff --git a/hip/test/matrix/ell_kernels.hip.cpp b/hip/test/matrix/ell_kernels.hip.cpp
index 502035ba9c5..4ae03c3d00e 100644
--- a/hip/test/matrix/ell_kernels.hip.cpp
+++ b/hip/test/matrix/ell_kernels.hip.cpp
@@ -360,8 +360,8 @@ TEST_F(Ell, InplaceAbsoluteMatrixIsEquivalentToRef)
 {
     set_up_apply_data();
 
-    mtx->apply_absolute();
-    dmtx->apply_absolute();
+    mtx->compute_absolute_inplace();
+    dmtx->compute_absolute_inplace();
 
     GKO_ASSERT_MTX_NEAR(mtx.get(), dmtx.get(), 1e-14);
 }
@@ -371,8 +371,8 @@ TEST_F(Ell, OutplaceAbsoluteMatrixIsEquivalentToRef)
 {
     set_up_apply_data();
 
-    auto abs_mtx = mtx->get_absolute();
-    auto dabs_mtx = dmtx->get_absolute();
+    auto abs_mtx = mtx->compute_absolute();
+    auto dabs_mtx = dmtx->compute_absolute();
 
     GKO_ASSERT_MTX_NEAR(abs_mtx.get(), dabs_mtx.get(), 1e-14);
 }
diff --git a/hip/test/matrix/hybrid_kernels.hip.cpp b/hip/test/matrix/hybrid_kernels.hip.cpp
index be1cd12ae6c..dd79f63c0f8 100644
--- a/hip/test/matrix/hybrid_kernels.hip.cpp
+++ b/hip/test/matrix/hybrid_kernels.hip.cpp
@@ -235,8 +235,8 @@ TEST_F(Hybrid, InplaceAbsoluteMatrixIsEquivalentToRef)
 {
     set_up_apply_data();
 
-    mtx->apply_absolute();
-    dmtx->apply_absolute();
+    mtx->compute_absolute_inplace();
+    dmtx->compute_absolute_inplace();
 
     GKO_ASSERT_MTX_NEAR(mtx.get(), dmtx.get(), 1e-14);
 }
@@ -246,8 +246,8 @@ TEST_F(Hybrid, OutplaceAbsoluteMatrixIsEquivalentToRef)
 {
     set_up_apply_data();
 
-    auto abs_mtx = mtx->get_absolute();
-    auto dabs_mtx = dmtx->get_absolute();
+    auto abs_mtx = mtx->compute_absolute();
+    auto dabs_mtx = dmtx->compute_absolute();
 
     GKO_ASSERT_MTX_NEAR(abs_mtx.get(), dabs_mtx.get(), 1e-14);
 }
diff --git a/hip/test/matrix/sellp_kernels.hip.cpp b/hip/test/matrix/sellp_kernels.hip.cpp
index 59d5efda437..8b39aedb189 100644
--- a/hip/test/matrix/sellp_kernels.hip.cpp
+++ b/hip/test/matrix/sellp_kernels.hip.cpp
@@ -353,8 +353,8 @@ TEST_F(Sellp, InplaceAbsoluteMatrixIsEquivalentToRef)
 {
     set_up_apply_matrix(32, 2);
 
-    mtx->apply_absolute();
-    dmtx->apply_absolute();
+    mtx->compute_absolute_inplace();
+    dmtx->compute_absolute_inplace();
 
     GKO_ASSERT_MTX_NEAR(mtx.get(), dmtx.get(), 1e-14);
 }
@@ -364,8 +364,8 @@ TEST_F(Sellp, OutplaceAbsoluteMatrixIsEquivalentToRef)
 {
     set_up_apply_matrix(32, 2);
 
-    auto abs_mtx = mtx->get_absolute();
-    auto dabs_mtx = dmtx->get_absolute();
+    auto abs_mtx = mtx->compute_absolute();
+    auto dabs_mtx = dmtx->compute_absolute();
 
     GKO_ASSERT_MTX_NEAR(abs_mtx.get(), dabs_mtx.get(), 1e-14);
 }
diff --git a/include/ginkgo/core/base/lin_op.hpp b/include/ginkgo/core/base/lin_op.hpp
index 8c6819d0db5..a72f3685848 100644
--- a/include/ginkgo/core/base/lin_op.hpp
+++ b/include/ginkgo/core/base/lin_op.hpp
@@ -635,21 +635,21 @@ class AbsoluteComputable {
      *
      * @return a pointer to the new absolute LinOp
      */
-    virtual std::unique_ptr<LinOp> get_absolute_linop() const = 0;
+    virtual std::unique_ptr<LinOp> compute_absolute_linop() const = 0;
 
     /**
-     * Apply absolute on each element.
+     * Compute absolute inplace on each element.
      */
-    virtual void apply_absolute() = 0;
+    virtual void compute_absolute_inplace() = 0;
 };
 
 
 /**
  * The EnableAbsoluteComputation mixin provides the default implementations of
- * `get_absolute_linop` and the absolute interface. `get_absolute` gets a new
- * remove_complex<ConcreteLinOp> which removes the complex value_type by
- * applying outplace absolute. `apply_absolute` applies absolute inplace, so it
- * still keeps the value_type of the class.
+ * `compute_absolute_linop` and the absolute interface. `compute_absolute` gets
+ * a new remove_complex<ConcreteLinOp> which removes the complex value_type by
+ * applying outplace absolute. `compute_absolute_inplace` applies absolute
+ * inplace, so it still keeps the value_type of the class.
  *
  * @tparam ConcreteLinOp  the concrete LinOp which is being implemented
  *                        [CRTP parameter]
@@ -663,17 +663,17 @@ class EnableAbsoluteComputation : public AbsoluteComputable {
 
     virtual ~EnableAbsoluteComputation() = default;
 
-    std::unique_ptr<LinOp> get_absolute_linop() const override
+    std::unique_ptr<LinOp> compute_absolute_linop() const override
     {
-        return this->get_absolute();
+        return this->compute_absolute();
     }
 
     /**
-     * Gets the absolute LinOp
+     * Gets the absolute ConcreteLinOp
      *
      * @return a pointer to the new absolute object
      */
-    virtual std::unique_ptr<outplace_type> get_absolute() const = 0;
+    virtual std::unique_ptr<outplace_type> compute_absolute() const = 0;
 };
 
 
diff --git a/include/ginkgo/core/matrix/coo.hpp b/include/ginkgo/core/matrix/coo.hpp
index bde9046aef4..45b1c257c96 100644
--- a/include/ginkgo/core/matrix/coo.hpp
+++ b/include/ginkgo/core/matrix/coo.hpp
@@ -121,9 +121,9 @@ class Coo : public EnableLinOp<Coo<ValueType, IndexType>>,
 
     std::unique_ptr<Diagonal<ValueType>> extract_diagonal() const override;
 
-    std::unique_ptr<outplace_absolute_type> get_absolute() const override;
+    std::unique_ptr<outplace_absolute_type> compute_absolute() const override;
 
-    void apply_absolute() override;
+    void compute_absolute_inplace() override;
 
     /**
      * Returns the values of the matrix.
diff --git a/include/ginkgo/core/matrix/csr.hpp b/include/ginkgo/core/matrix/csr.hpp
index 60b32cc2196..bc41f528e23 100644
--- a/include/ginkgo/core/matrix/csr.hpp
+++ b/include/ginkgo/core/matrix/csr.hpp
@@ -712,9 +712,9 @@ class Csr : public EnableLinOp<Csr<ValueType, IndexType>>,
 
     std::unique_ptr<Diagonal<ValueType>> extract_diagonal() const override;
 
-    std::unique_ptr<outplace_absolute_type> get_absolute() const override;
+    std::unique_ptr<outplace_absolute_type> compute_absolute() const override;
 
-    void apply_absolute() override;
+    void compute_absolute_inplace() override;
 
     /**
      * Sorts all (value, col_idx) pairs in each row by column index
diff --git a/include/ginkgo/core/matrix/dense.hpp b/include/ginkgo/core/matrix/dense.hpp
index ddc7b4d9519..6f7c2b16c99 100644
--- a/include/ginkgo/core/matrix/dense.hpp
+++ b/include/ginkgo/core/matrix/dense.hpp
@@ -249,9 +249,9 @@ class Dense : public EnableLinOp<Dense<ValueType>>,
 
     std::unique_ptr<Diagonal<ValueType>> extract_diagonal() const override;
 
-    std::unique_ptr<outplace_absolute_type> get_absolute() const override;
+    std::unique_ptr<outplace_absolute_type> compute_absolute() const override;
 
-    void apply_absolute() override;
+    void compute_absolute_inplace() override;
 
     /**
      * Returns a pointer to the array of values of the matrix.
diff --git a/include/ginkgo/core/matrix/diagonal.hpp b/include/ginkgo/core/matrix/diagonal.hpp
index ceb97e363ca..aec604de9cc 100644
--- a/include/ginkgo/core/matrix/diagonal.hpp
+++ b/include/ginkgo/core/matrix/diagonal.hpp
@@ -103,9 +103,9 @@ class Diagonal : public EnableLinOp<Diagonal<ValueType>>,
 
     void move_to(Csr<ValueType, int64> *result) override;
 
-    std::unique_ptr<outplace_absolute_type> get_absolute() const override;
+    std::unique_ptr<outplace_absolute_type> compute_absolute() const override;
 
-    void apply_absolute() override;
+    void compute_absolute_inplace() override;
 
     /**
      * Returns a pointer to the array of values of the matrix.
diff --git a/include/ginkgo/core/matrix/ell.hpp b/include/ginkgo/core/matrix/ell.hpp
index 02b3a3613c8..6fa705f4ab9 100644
--- a/include/ginkgo/core/matrix/ell.hpp
+++ b/include/ginkgo/core/matrix/ell.hpp
@@ -114,9 +114,9 @@ class Ell : public EnableLinOp<Ell<ValueType, IndexType>>,
 
     std::unique_ptr<Diagonal<ValueType>> extract_diagonal() const override;
 
-    std::unique_ptr<outplace_absolute_type> get_absolute() const override;
+    std::unique_ptr<outplace_absolute_type> compute_absolute() const override;
 
-    void apply_absolute() override;
+    void compute_absolute_inplace() override;
 
     /**
      * Returns the values of the matrix.
diff --git a/include/ginkgo/core/matrix/hybrid.hpp b/include/ginkgo/core/matrix/hybrid.hpp
index 6dcee07bbe2..8b19de70766 100644
--- a/include/ginkgo/core/matrix/hybrid.hpp
+++ b/include/ginkgo/core/matrix/hybrid.hpp
@@ -363,9 +363,9 @@ class Hybrid
 
     std::unique_ptr<Diagonal<ValueType>> extract_diagonal() const override;
 
-    std::unique_ptr<outplace_absolute_type> get_absolute() const override;
+    std::unique_ptr<outplace_absolute_type> compute_absolute() const override;
 
-    void apply_absolute() override;
+    void compute_absolute_inplace() override;
 
     /**
      * Returns the values of the ell part.
diff --git a/include/ginkgo/core/matrix/sellp.hpp b/include/ginkgo/core/matrix/sellp.hpp
index 6f4b879a0d9..fb5acd36526 100644
--- a/include/ginkgo/core/matrix/sellp.hpp
+++ b/include/ginkgo/core/matrix/sellp.hpp
@@ -111,9 +111,9 @@ class Sellp : public EnableLinOp<Sellp<ValueType, IndexType>>,
 
     std::unique_ptr<Diagonal<ValueType>> extract_diagonal() const override;
 
-    std::unique_ptr<outplace_absolute_type> get_absolute() const override;
+    std::unique_ptr<outplace_absolute_type> compute_absolute() const override;
 
-    void apply_absolute() override;
+    void compute_absolute_inplace() override;
 
     /**
      * Returns the values of the matrix.
diff --git a/omp/test/matrix/coo_kernels.cpp b/omp/test/matrix/coo_kernels.cpp
index 03090fd2f54..b2af927543a 100644
--- a/omp/test/matrix/coo_kernels.cpp
+++ b/omp/test/matrix/coo_kernels.cpp
@@ -238,8 +238,8 @@ TEST_F(Coo, InplaceAbsoluteMatrixIsEquivalentToRef)
 {
     set_up_apply_data();
 
-    mtx->apply_absolute();
-    dmtx->apply_absolute();
+    mtx->compute_absolute_inplace();
+    dmtx->compute_absolute_inplace();
 
     GKO_ASSERT_MTX_NEAR(mtx.get(), dmtx.get(), 1e-14);
 }
@@ -249,8 +249,8 @@ TEST_F(Coo, OutplaceAbsoluteMatrixIsEquivalentToRef)
 {
     set_up_apply_data();
 
-    auto abs_mtx = mtx->get_absolute();
-    auto dabs_mtx = dmtx->get_absolute();
+    auto abs_mtx = mtx->compute_absolute();
+    auto dabs_mtx = dmtx->compute_absolute();
 
     GKO_ASSERT_MTX_NEAR(abs_mtx.get(), dabs_mtx.get(), 1e-14);
 }
diff --git a/omp/test/matrix/csr_kernels.cpp b/omp/test/matrix/csr_kernels.cpp
index 8b6a54cdf37..25cb647d98d 100644
--- a/omp/test/matrix/csr_kernels.cpp
+++ b/omp/test/matrix/csr_kernels.cpp
@@ -553,8 +553,8 @@ TEST_F(Csr, InplaceAbsoluteMatrixIsEquivalentToRef)
 {
     set_up_apply_data();
 
-    mtx->apply_absolute();
-    dmtx->apply_absolute();
+    mtx->compute_absolute_inplace();
+    dmtx->compute_absolute_inplace();
 
     GKO_ASSERT_MTX_NEAR(mtx.get(), dmtx.get(), 1e-14);
 }
@@ -564,8 +564,8 @@ TEST_F(Csr, OutplaceAbsoluteMatrixIsEquivalentToRef)
 {
     set_up_apply_data();
 
-    auto abs_mtx = mtx->get_absolute();
-    auto dabs_mtx = dmtx->get_absolute();
+    auto abs_mtx = mtx->compute_absolute();
+    auto dabs_mtx = dmtx->compute_absolute();
 
     GKO_ASSERT_MTX_NEAR(abs_mtx.get(), dabs_mtx.get(), 1e-14);
 }
@@ -575,8 +575,8 @@ TEST_F(Csr, InplaceAbsoluteComplexMatrixIsEquivalentToRef)
 {
     set_up_apply_data();
 
-    complex_mtx->apply_absolute();
-    complex_dmtx->apply_absolute();
+    complex_mtx->compute_absolute_inplace();
+    complex_dmtx->compute_absolute_inplace();
 
     GKO_ASSERT_MTX_NEAR(complex_mtx.get(), complex_dmtx.get(), 1e-14);
 }
@@ -586,8 +586,8 @@ TEST_F(Csr, OutplaceAbsoluteComplexMatrixIsEquivalentToRef)
 {
     set_up_apply_data();
 
-    auto abs_mtx = complex_mtx->get_absolute();
-    auto dabs_mtx = complex_dmtx->get_absolute();
+    auto abs_mtx = complex_mtx->compute_absolute();
+    auto dabs_mtx = complex_dmtx->compute_absolute();
 
     GKO_ASSERT_MTX_NEAR(abs_mtx.get(), dabs_mtx.get(), 1e-14);
 }
diff --git a/omp/test/matrix/dense_kernels.cpp b/omp/test/matrix/dense_kernels.cpp
index 65afcbf8502..77781b71aab 100644
--- a/omp/test/matrix/dense_kernels.cpp
+++ b/omp/test/matrix/dense_kernels.cpp
@@ -706,8 +706,8 @@ TEST_F(Dense, InplaceAbsoluteMatrixIsEquivalentToRef)
 {
     set_up_apply_data();
 
-    x->apply_absolute();
-    dx->apply_absolute();
+    x->compute_absolute_inplace();
+    dx->compute_absolute_inplace();
 
     GKO_ASSERT_MTX_NEAR(x.get(), dx.get(), 1e-14);
 }
@@ -717,8 +717,8 @@ TEST_F(Dense, OutplaceAbsoluteMatrixIsEquivalentToRef)
 {
     set_up_apply_data();
 
-    auto abs_x = x->get_absolute();
-    auto dabs_x = dx->get_absolute();
+    auto abs_x = x->compute_absolute();
+    auto dabs_x = dx->compute_absolute();
 
     GKO_ASSERT_MTX_NEAR(abs_x.get(), dabs_x.get(), 1e-14);
 }
diff --git a/omp/test/matrix/diagonal_kernels.cpp b/omp/test/matrix/diagonal_kernels.cpp
index 571ca6fe7e6..2d03fb74f8f 100644
--- a/omp/test/matrix/diagonal_kernels.cpp
+++ b/omp/test/matrix/diagonal_kernels.cpp
@@ -252,8 +252,8 @@ TEST_F(Diagonal, InplaceAbsoluteMatrixIsEquivalentToRef)
 {
     set_up_apply_data();
 
-    diag->apply_absolute();
-    ddiag->apply_absolute();
+    diag->compute_absolute_inplace();
+    ddiag->compute_absolute_inplace();
 
     GKO_ASSERT_MTX_NEAR(diag.get(), ddiag.get(), 1e-14);
 }
@@ -263,8 +263,8 @@ TEST_F(Diagonal, OutplaceAbsoluteMatrixIsEquivalentToRef)
 {
     set_up_apply_data();
 
-    auto abs_diag = diag->get_absolute();
-    auto dabs_diag = ddiag->get_absolute();
+    auto abs_diag = diag->compute_absolute();
+    auto dabs_diag = ddiag->compute_absolute();
 
     GKO_ASSERT_MTX_NEAR(abs_diag.get(), dabs_diag.get(), 1e-14);
 }
diff --git a/omp/test/matrix/ell_kernels.cpp b/omp/test/matrix/ell_kernels.cpp
index 584e88488c2..06195abe138 100644
--- a/omp/test/matrix/ell_kernels.cpp
+++ b/omp/test/matrix/ell_kernels.cpp
@@ -236,8 +236,8 @@ TEST_F(Ell, InplaceAbsoluteMatrixIsEquivalentToRef)
 {
     set_up_apply_data();
 
-    mtx->apply_absolute();
-    dmtx->apply_absolute();
+    mtx->compute_absolute_inplace();
+    dmtx->compute_absolute_inplace();
 
     GKO_ASSERT_MTX_NEAR(mtx.get(), dmtx.get(), 1e-14);
 }
@@ -247,8 +247,8 @@ TEST_F(Ell, OutplaceAbsoluteMatrixIsEquivalentToRef)
 {
     set_up_apply_data();
 
-    auto abs_mtx = mtx->get_absolute();
-    auto dabs_mtx = dmtx->get_absolute();
+    auto abs_mtx = mtx->compute_absolute();
+    auto dabs_mtx = dmtx->compute_absolute();
 
     GKO_ASSERT_MTX_NEAR(abs_mtx.get(), dabs_mtx.get(), 1e-14);
 }
diff --git a/omp/test/matrix/hybrid_kernels.cpp b/omp/test/matrix/hybrid_kernels.cpp
index 046d4c254a5..df85f18455f 100644
--- a/omp/test/matrix/hybrid_kernels.cpp
+++ b/omp/test/matrix/hybrid_kernels.cpp
@@ -234,8 +234,8 @@ TEST_F(Hybrid, InplaceAbsoluteMatrixIsEquivalentToRef)
 {
     set_up_apply_data();
 
-    mtx->apply_absolute();
-    dmtx->apply_absolute();
+    mtx->compute_absolute_inplace();
+    dmtx->compute_absolute_inplace();
 
     GKO_ASSERT_MTX_NEAR(mtx.get(), dmtx.get(), 1e-14);
 }
@@ -245,8 +245,8 @@ TEST_F(Hybrid, OutplaceAbsoluteMatrixIsEquivalentToRef)
 {
     set_up_apply_data();
 
-    auto abs_mtx = mtx->get_absolute();
-    auto dabs_mtx = dmtx->get_absolute();
+    auto abs_mtx = mtx->compute_absolute();
+    auto dabs_mtx = dmtx->compute_absolute();
 
     GKO_ASSERT_MTX_NEAR(abs_mtx.get(), dabs_mtx.get(), 1e-14);
 }
diff --git a/omp/test/matrix/sellp_kernels.cpp b/omp/test/matrix/sellp_kernels.cpp
index 9d861d2db69..69780f6071e 100644
--- a/omp/test/matrix/sellp_kernels.cpp
+++ b/omp/test/matrix/sellp_kernels.cpp
@@ -270,8 +270,8 @@ TEST_F(Sellp, InplaceAbsoluteMatrixIsEquivalentToRef)
 {
     set_up_apply_data();
 
-    mtx->apply_absolute();
-    dmtx->apply_absolute();
+    mtx->compute_absolute_inplace();
+    dmtx->compute_absolute_inplace();
 
     GKO_ASSERT_MTX_NEAR(mtx.get(), dmtx.get(), 1e-14);
 }
@@ -281,8 +281,8 @@ TEST_F(Sellp, OutplaceAbsoluteMatrixIsEquivalentToRef)
 {
     set_up_apply_data();
 
-    auto abs_mtx = mtx->get_absolute();
-    auto dabs_mtx = dmtx->get_absolute();
+    auto abs_mtx = mtx->compute_absolute();
+    auto dabs_mtx = dmtx->compute_absolute();
 
     GKO_ASSERT_MTX_NEAR(abs_mtx.get(), dabs_mtx.get(), 1e-14);
 }
diff --git a/reference/test/matrix/coo_kernels.cpp b/reference/test/matrix/coo_kernels.cpp
index 0f75f7a1eea..d08ef5f9af9 100644
--- a/reference/test/matrix/coo_kernels.cpp
+++ b/reference/test/matrix/coo_kernels.cpp
@@ -540,7 +540,7 @@ TYPED_TEST(Coo, InplaceAbsolute)
     auto mtx = gko::initialize<Mtx>(
         {{1.0, 2.0, -2.0}, {3.0, -5.0, 0.0}, {0.0, 1.0, -1.5}}, this->exec);
 
-    mtx->apply_absolute();
+    mtx->compute_absolute_inplace();
 
     GKO_ASSERT_MTX_NEAR(
         mtx, l({{1.0, 2.0, 2.0}, {3.0, 5.0, 0.0}, {0.0, 1.0, 1.5}}), 0.0);
@@ -553,7 +553,7 @@ TYPED_TEST(Coo, OutplaceAbsolute)
     auto mtx = gko::initialize<Mtx>(
         {{1.0, 2.0, -2.0}, {3.0, -5.0, 0.0}, {0.0, 1.0, -1.5}}, this->exec);
 
-    auto abs_mtx = mtx->get_absolute();
+    auto abs_mtx = mtx->compute_absolute();
 
     GKO_ASSERT_MTX_NEAR(
         abs_mtx, l({{1.0, 2.0, 2.0}, {3.0, 5.0, 0.0}, {0.0, 1.0, 1.5}}), 0.0);
@@ -586,7 +586,7 @@ TYPED_TEST(CooComplex, OutplaceAbsolute)
          {T{0.0, 0.0}, T{0.0, -1.5}, T{2.0, 0.0}}}, exec);
     // clang-format on
 
-    auto abs_mtx = mtx->get_absolute();
+    auto abs_mtx = mtx->compute_absolute();
 
     GKO_ASSERT_MTX_NEAR(
         abs_mtx, l({{1.0, 5.0, 2.0}, {5.0, 1.0, 0.0}, {0.0, 1.5, 2.0}}), 0.0);
@@ -606,7 +606,7 @@ TYPED_TEST(CooComplex, InplaceAbsolute)
          {T{0.0, 0.0}, T{0.0, -1.5}, T{2.0, 0.0}}}, exec);
     // clang-format on
 
-    mtx->apply_absolute();
+    mtx->compute_absolute_inplace();
 
     GKO_ASSERT_MTX_NEAR(
         mtx, l({{1.0, 5.0, 2.0}, {5.0, 1.0, 0.0}, {0.0, 1.5, 2.0}}), 0.0);
diff --git a/reference/test/matrix/csr_kernels.cpp b/reference/test/matrix/csr_kernels.cpp
index e2fc18432aa..ac9ae9f64d8 100644
--- a/reference/test/matrix/csr_kernels.cpp
+++ b/reference/test/matrix/csr_kernels.cpp
@@ -1313,7 +1313,7 @@ TYPED_TEST(Csr, InplaceAbsolute)
     auto mtx = gko::initialize<Mtx>(
         {{1.0, 2.0, -2.0}, {3.0, -5.0, 0.0}, {0.0, 1.0, -1.5}}, this->exec);
 
-    mtx->apply_absolute();
+    mtx->compute_absolute_inplace();
 
     GKO_ASSERT_MTX_NEAR(
         mtx, l({{1.0, 2.0, 2.0}, {3.0, 5.0, 0.0}, {0.0, 1.0, 1.5}}), 0.0);
@@ -1326,7 +1326,7 @@ TYPED_TEST(Csr, OutplaceAbsolute)
     auto mtx = gko::initialize<Mtx>(
         {{1.0, 2.0, -2.0}, {3.0, -5.0, 0.0}, {0.0, 1.0, -1.5}}, this->exec);
 
-    auto abs_mtx = mtx->get_absolute();
+    auto abs_mtx = mtx->compute_absolute();
 
     GKO_ASSERT_MTX_NEAR(
         abs_mtx, l({{1.0, 2.0, 2.0}, {3.0, 5.0, 0.0}, {0.0, 1.0, 1.5}}), 0.0);
@@ -1386,7 +1386,7 @@ TYPED_TEST(CsrComplex, InplaceAbsolute)
          {T{0.0, 0.0}, T{0.0, -1.5}, T{2.0, 0.0}}}, exec);
     // clang-format on
 
-    mtx->apply_absolute();
+    mtx->compute_absolute_inplace();
 
     GKO_ASSERT_MTX_NEAR(
         mtx, l({{1.0, 5.0, 2.0}, {5.0, 1.0, 0.0}, {0.0, 1.5, 2.0}}), 0.0);
@@ -1406,7 +1406,7 @@ TYPED_TEST(CsrComplex, OutplaceAbsolute)
          {T{0.0, 0.0}, T{0.0, -1.5}, T{2.0, 0.0}}}, exec);
     // clang-format on
 
-    auto abs_mtx = mtx->get_absolute();
+    auto abs_mtx = mtx->compute_absolute();
 
     GKO_ASSERT_MTX_NEAR(
         abs_mtx, l({{1.0, 5.0, 2.0}, {5.0, 1.0, 0.0}, {0.0, 1.5, 2.0}}), 0.0);
diff --git a/reference/test/matrix/dense_kernels.cpp b/reference/test/matrix/dense_kernels.cpp
index 94cb1c42542..cea66d04f43 100644
--- a/reference/test/matrix/dense_kernels.cpp
+++ b/reference/test/matrix/dense_kernels.cpp
@@ -2017,7 +2017,7 @@ TYPED_TEST(Dense, InplaceAbsolute)
     // {-2.0, 2.0, 4.5},
     // {2.1, 3.4, 1.2}
     // clang-format on
-    this->mtx5->apply_absolute();
+    this->mtx5->compute_absolute_inplace();
 
     GKO_ASSERT_MTX_NEAR(this->mtx5,
                         l({{1.0, 1.0, 0.5}, {2.0, 2.0, 4.5}, {2.1, 3.4, 1.2}}),
@@ -2035,7 +2035,7 @@ TYPED_TEST(Dense, InplaceAbsoluteSubMatrix)
     // {-2.0, 2.0, 4.5},
     // {2.1, 3.4, 1.2}
     // clang-format on
-    mtx->apply_absolute();
+    mtx->compute_absolute_inplace();
 
     GKO_ASSERT_MTX_NEAR(this->mtx5,
                         l({{1.0, 1.0, -0.5}, {2.0, 2.0, 4.5}, {2.1, 3.4, 1.2}}),
@@ -2051,7 +2051,7 @@ TYPED_TEST(Dense, OutplaceAbsolute)
     // {-2.0, 2.0, 4.5},
     // {2.1, 3.4, 1.2}
     // clang-format on
-    auto abs_mtx = this->mtx5->get_absolute();
+    auto abs_mtx = this->mtx5->compute_absolute();
 
     GKO_ASSERT_MTX_NEAR(abs_mtx,
                         l({{1.0, 1.0, 0.5}, {2.0, 2.0, 4.5}, {2.1, 3.4, 1.2}}),
@@ -2069,7 +2069,7 @@ TYPED_TEST(Dense, OutplaceAbsoluteSubMatrix)
     // {-2.0, 2.0, 4.5},
     // {2.1, 3.4, 1.2}
     // clang-format on
-    auto abs_mtx = mtx->get_absolute();
+    auto abs_mtx = mtx->compute_absolute();
 
     GKO_ASSERT_MTX_NEAR(abs_mtx, l({{1.0, 1.0}, {2.0, 2.0}}),
                         r<TypeParam>::value);
@@ -2119,7 +2119,7 @@ TYPED_TEST(DenseComplex, InplaceAbsolute)
          {T{0.0, 0.0}, T{0.0, -1.5}, T{2.0, 0.0}}}, exec);
     // clang-format on
 
-    mtx->apply_absolute();
+    mtx->compute_absolute_inplace();
 
     GKO_ASSERT_MTX_NEAR(
         mtx, l({{1.0, 5.0, 2.0}, {5.0, 1.0, 0.0}, {0.0, 1.5, 2.0}}), 0.0);
@@ -2138,7 +2138,7 @@ TYPED_TEST(DenseComplex, OutplaceAbsolute)
          {T{0.0, 0.0}, T{0.0, -1.5}, T{2.0, 0.0}}}, exec);
     // clang-format on
 
-    auto abs_mtx = mtx->get_absolute();
+    auto abs_mtx = mtx->compute_absolute();
 
     GKO_ASSERT_MTX_NEAR(
         abs_mtx, l({{1.0, 5.0, 2.0}, {5.0, 1.0, 0.0}, {0.0, 1.5, 2.0}}), 0.0);
diff --git a/reference/test/matrix/diagonal_kernels.cpp b/reference/test/matrix/diagonal_kernels.cpp
index 69502cca362..fc207889de3 100644
--- a/reference/test/matrix/diagonal_kernels.cpp
+++ b/reference/test/matrix/diagonal_kernels.cpp
@@ -360,7 +360,7 @@ TYPED_TEST(Diagonal, InplaceAbsolute)
 {
     using value_type = typename TestFixture::value_type;
 
-    this->diag1->apply_absolute();
+    this->diag1->compute_absolute_inplace();
     auto values = this->diag1->get_values();
 
     EXPECT_EQ(values[0], value_type(2.0));
@@ -373,7 +373,7 @@ TYPED_TEST(Diagonal, OutplaceAbsolute)
     using value_type = typename TestFixture::value_type;
     using abs_type = gko::remove_complex<value_type>;
 
-    auto abs_diag = this->diag1->get_absolute();
+    auto abs_diag = this->diag1->compute_absolute();
     auto values = abs_diag->get_values();
 
     EXPECT_EQ(values[0], value_type(2.0));
@@ -425,7 +425,7 @@ TYPED_TEST(DiagonalComplex, InplaceAbsolute)
     diag_values[1] = value_type{-3.0, 0.0};
     diag_values[2] = value_type{0.0, -1.5};
 
-    diag->apply_absolute();
+    diag->compute_absolute_inplace();
 
     EXPECT_EQ(diag_values[0], (value_type{5.0, 0.0}));
     EXPECT_EQ(diag_values[1], (value_type{3.0, 0.0}));
@@ -446,7 +446,7 @@ TYPED_TEST(DiagonalComplex, OutplaceAbsolute)
     diag_values[1] = value_type{-3.0, 0.0};
     diag_values[2] = value_type{0.0, -1.5};
 
-    auto abs_diag = diag->get_absolute();
+    auto abs_diag = diag->compute_absolute();
     auto abs_values = abs_diag->get_values();
 
     EXPECT_EQ(abs_values[0], (value_type{5.0}));
diff --git a/reference/test/matrix/ell_kernels.cpp b/reference/test/matrix/ell_kernels.cpp
index 13b7decd1f1..cc87f580f9e 100644
--- a/reference/test/matrix/ell_kernels.cpp
+++ b/reference/test/matrix/ell_kernels.cpp
@@ -618,7 +618,7 @@ TYPED_TEST(Ell, InplaceAbsolute)
     auto mtx = gko::initialize<Mtx>(
         {{1.0, 2.0, -2.0}, {3.0, -5.0, 0.0}, {0.0, 1.0, -1.5}}, this->exec);
 
-    mtx->apply_absolute();
+    mtx->compute_absolute_inplace();
 
     GKO_ASSERT_MTX_NEAR(
         mtx, l({{1.0, 2.0, 2.0}, {3.0, 5.0, 0.0}, {0.0, 1.0, 1.5}}), 0.0);
@@ -631,7 +631,7 @@ TYPED_TEST(Ell, OutplaceAbsolute)
     auto mtx = gko::initialize<Mtx>(
         {{1.0, 2.0, -2.0}, {3.0, -5.0, 0.0}, {0.0, 1.0, -1.5}}, this->exec);
 
-    auto abs_mtx = mtx->get_absolute();
+    auto abs_mtx = mtx->compute_absolute();
 
     GKO_ASSERT_MTX_NEAR(
         abs_mtx, l({{1.0, 2.0, 2.0}, {3.0, 5.0, 0.0}, {0.0, 1.0, 1.5}}), 0.0);
@@ -664,7 +664,7 @@ TYPED_TEST(EllComplex, InplaceAbsolute)
          {T{0.0, 0.0}, T{0.0, -1.5}, T{2.0, 0.0}}}, exec);
     // clang-format on
 
-    mtx->apply_absolute();
+    mtx->compute_absolute_inplace();
 
     GKO_ASSERT_MTX_NEAR(
         mtx, l({{1.0, 5.0, 2.0}, {5.0, 1.0, 0.0}, {0.0, 1.5, 2.0}}), 0.0);
@@ -684,7 +684,7 @@ TYPED_TEST(EllComplex, OutplaceAbsolute)
          {T{0.0, 0.0}, T{0.0, -1.5}, T{2.0, 0.0}}}, exec);
     // clang-format on
 
-    auto abs_mtx = mtx->get_absolute();
+    auto abs_mtx = mtx->compute_absolute();
 
     GKO_ASSERT_MTX_NEAR(
         abs_mtx, l({{1.0, 5.0, 2.0}, {5.0, 1.0, 0.0}, {0.0, 1.5, 2.0}}), 0.0);
diff --git a/reference/test/matrix/hybrid_kernels.cpp b/reference/test/matrix/hybrid_kernels.cpp
index 17f0aae4c50..46123df227b 100644
--- a/reference/test/matrix/hybrid_kernels.cpp
+++ b/reference/test/matrix/hybrid_kernels.cpp
@@ -662,7 +662,7 @@ TYPED_TEST(Hybrid, InplaceAbsolute)
     auto mtx = gko::initialize<Mtx>(
         {{1.0, 2.0, -2.0}, {3.0, -5.0, 0.0}, {0.0, 1.0, -1.5}}, this->exec);
 
-    mtx->apply_absolute();
+    mtx->compute_absolute_inplace();
 
     GKO_ASSERT_MTX_NEAR(
         mtx, l({{1.0, 2.0, 2.0}, {3.0, 5.0, 0.0}, {0.0, 1.0, 1.5}}), 0.0);
@@ -675,7 +675,7 @@ TYPED_TEST(Hybrid, OutplaceAbsolute)
     auto mtx = gko::initialize<Mtx>(
         {{1.0, 2.0, -2.0}, {3.0, -5.0, 0.0}, {0.0, 1.0, -1.5}}, this->exec);
 
-    auto abs_mtx = mtx->get_absolute();
+    auto abs_mtx = mtx->compute_absolute();
 
     GKO_ASSERT_MTX_NEAR(
         abs_mtx, l({{1.0, 2.0, 2.0}, {3.0, 5.0, 0.0}, {0.0, 1.0, 1.5}}), 0.0);
@@ -708,7 +708,7 @@ TYPED_TEST(HybridComplex, OutplaceAbsolute)
          {T{0.0, 0.0}, T{0.0, -1.5}, T{2.0, 0.0}}}, exec);
     // clang-format on
 
-    auto abs_mtx = mtx->get_absolute();
+    auto abs_mtx = mtx->compute_absolute();
 
     GKO_ASSERT_MTX_NEAR(
         abs_mtx, l({{1.0, 5.0, 2.0}, {5.0, 1.0, 0.0}, {0.0, 1.5, 2.0}}), 0.0);
@@ -728,7 +728,7 @@ TYPED_TEST(HybridComplex, InplaceAbsolute)
          {T{0.0, 0.0}, T{0.0, -1.5}, T{2.0, 0.0}}}, exec);
     // clang-format on
 
-    mtx->apply_absolute();
+    mtx->compute_absolute_inplace();
 
     GKO_ASSERT_MTX_NEAR(
         mtx, l({{1.0, 5.0, 2.0}, {5.0, 1.0, 0.0}, {0.0, 1.5, 2.0}}), 0.0);
diff --git a/reference/test/matrix/sellp_kernels.cpp b/reference/test/matrix/sellp_kernels.cpp
index 7eef159ddeb..5c24e7afe3d 100644
--- a/reference/test/matrix/sellp_kernels.cpp
+++ b/reference/test/matrix/sellp_kernels.cpp
@@ -621,7 +621,7 @@ TYPED_TEST(Sellp, InplaceAbsolute)
     auto mtx = gko::initialize<Mtx>(
         {{1.0, 2.0, -2.0}, {3.0, -5.0, 0.0}, {0.0, 1.0, -1.5}}, this->exec);
 
-    mtx->apply_absolute();
+    mtx->compute_absolute_inplace();
 
     GKO_ASSERT_MTX_NEAR(
         mtx, l({{1.0, 2.0, 2.0}, {3.0, 5.0, 0.0}, {0.0, 1.0, 1.5}}), 0.0);
@@ -634,7 +634,7 @@ TYPED_TEST(Sellp, OutplaceAbsolute)
     auto mtx = gko::initialize<Mtx>(
         {{1.0, 2.0, -2.0}, {3.0, -5.0, 0.0}, {0.0, 1.0, -1.5}}, this->exec);
 
-    auto abs_mtx = mtx->get_absolute();
+    auto abs_mtx = mtx->compute_absolute();
 
     GKO_ASSERT_MTX_NEAR(
         abs_mtx, l({{1.0, 2.0, 2.0}, {3.0, 5.0, 0.0}, {0.0, 1.0, 1.5}}), 0.0);
@@ -667,7 +667,7 @@ TYPED_TEST(SellpComplex, OutplaceAbsolute)
          {T{0.0, 0.0}, T{0.0, -1.5}, T{2.0, 0.0}}}, exec);
     // clang-format on
 
-    auto abs_mtx = mtx->get_absolute();
+    auto abs_mtx = mtx->compute_absolute();
 
     GKO_ASSERT_MTX_NEAR(
         abs_mtx, l({{1.0, 5.0, 2.0}, {5.0, 1.0, 0.0}, {0.0, 1.5, 2.0}}), 0.0);
@@ -687,7 +687,7 @@ TYPED_TEST(SellpComplex, InplaceAbsolute)
          {T{0.0, 0.0}, T{0.0, -1.5}, T{2.0, 0.0}}}, exec);
     // clang-format on
 
-    mtx->apply_absolute();
+    mtx->compute_absolute_inplace();
 
     GKO_ASSERT_MTX_NEAR(
         mtx, l({{1.0, 5.0, 2.0}, {5.0, 1.0, 0.0}, {0.0, 1.5, 2.0}}), 0.0);