diff --git a/include/rotgen/impl/matrix_impl64.hpp b/include/rotgen/impl/matrix_impl64.hpp
index 1651f71..d2e8a1a 100644
--- a/include/rotgen/impl/matrix_impl64.hpp
+++ b/include/rotgen/impl/matrix_impl64.hpp
@@ -70,7 +70,12 @@ namespace rotgen
 
     const double* data() const;
 
-  private:
+    static matrix_impl64 Zero(std::size_t rows, std::size_t cols);
+    static matrix_impl64 Constant(std::size_t rows, std::size_t cols, double value);
+    static matrix_impl64 Random(std::size_t rows, std::size_t cols);
+    static matrix_impl64 Identity(std::size_t rows, std::size_t cols);
+
+    private:
     struct payload;
     std::unique_ptr<payload> storage_;
   };
diff --git a/include/rotgen/matrix.hpp b/include/rotgen/matrix.hpp
index febe15b..6c138d4 100644
--- a/include/rotgen/matrix.hpp
+++ b/include/rotgen/matrix.hpp
@@ -118,6 +118,58 @@ namespace rotgen
       static_cast<parent&>(*this) /= rhs;
       return *this;
     }
+
+    static matrix Zero()
+    requires (Rows != -1 && Cols != -1)
+    {
+      return parent::Zero(Rows, Cols);
+    }
+
+    static matrix Zero(int rows, int cols)
+    {
+      if constexpr(Rows != -1) assert(rows == Rows &&  "Mismatched between dynamic and static row size");
+      if constexpr(Cols != -1) assert(cols == Cols &&  "Mismatched between dynamic and static column size");
+      return parent::Zero(rows, cols);
+    }
+
+    static matrix Constant(Scalar value)
+    requires (Rows != -1 && Cols != -1)
+    {
+      return parent::Constant(Rows, Cols, static_cast<double>(value));
+    }
+
+    static matrix Constant(int rows, int cols, Scalar value)
+    {
+      if constexpr(Rows != -1) assert(rows == Rows &&  "Mismatched between dynamic and static row size");
+      if constexpr(Cols != -1) assert(cols == Cols &&  "Mismatched between dynamic and static column size");
+      return parent::Constant(rows, cols, static_cast<double>(value));
+    }
+
+    static matrix Random()
+    requires (Rows != -1 && Cols != -1)
+    {
+      return parent::Random(Rows, Cols);
+    }
+
+    static matrix Random(int rows, int cols)
+    {
+      if constexpr(Rows != -1) assert(rows == Rows &&  "Mismatched between dynamic and static row size");
+      if constexpr(Cols != -1) assert(cols == Cols &&  "Mismatched between dynamic and static column size");
+      return parent::Random(rows, cols);
+    }
+
+    static matrix Identity()
+    requires (Rows != -1 && Cols != -1)
+    {
+      return parent::Identity(Rows, Cols);
+    }
+
+    static matrix Identity(int rows, int cols)
+    {
+      if constexpr(Rows != -1) assert(rows == Rows &&  "Mismatched between dynamic and static row size");
+      if constexpr(Cols != -1) assert(cols == Cols &&  "Mismatched between dynamic and static column size");
+      return parent::Identity(rows, cols);
+    }
   };
 
   template<typename S, int R, int C, int O, int MR, int MC>
diff --git a/src/matrix_impl64.cpp b/src/matrix_impl64.cpp
index f70259a..e63f076 100644
--- a/src/matrix_impl64.cpp
+++ b/src/matrix_impl64.cpp
@@ -15,12 +15,14 @@ namespace rotgen
   //================================================================================================
   struct matrix_impl64::payload
   {
-    Eigen::Matrix<double,Eigen::Dynamic,Eigen::Dynamic> data;
+    using data_type = Eigen::Matrix<double,Eigen::Dynamic,Eigen::Dynamic>;
+
+    data_type data;
     payload(std::size_t r=0, std::size_t c=0) : data(r, c) {}
     payload(std::initializer_list<std::initializer_list<double>> init) : data(init) {}
+    payload(data_type&& matrix) : data(std::move(matrix)) {}
   };
 
-
   //==================================================================================================
   // Constructors & Special Members
   //==================================================================================================
@@ -169,4 +171,37 @@ namespace rotgen
     storage_->data /= s;
     return *this;
   }
+
+  //==================================================================================================
+  //==================================================================================================
+  // Static functions
+  //==================================================================================================
+
+  matrix_impl64 matrix_impl64::Zero(std::size_t rows, std::size_t cols) {
+    matrix_impl64 m;
+    m.storage_ = std::make_unique<payload>(payload::data_type::Zero(rows, cols));
+    return m;
+  }
+
+  matrix_impl64 matrix_impl64::Constant(std::size_t rows, std::size_t cols, double value)
+  {
+    matrix_impl64 m;
+    m.storage_ = std::make_unique<payload>(payload::data_type::Constant(rows, cols, value));
+    return m;
+  }
+
+  matrix_impl64 matrix_impl64::Random(std::size_t rows, std::size_t cols)
+  {
+    matrix_impl64 m;
+    m.storage_ = std::make_unique<payload>(payload::data_type::Random(rows, cols));
+    return m;
+  }
+
+  matrix_impl64 matrix_impl64::Identity(std::size_t rows, std::size_t cols)
+  {
+    matrix_impl64 m;
+    m.storage_ = std::make_unique<payload>(payload::data_type::Identity(rows, cols));
+    return m;
+  }
+
 }
\ No newline at end of file
diff --git a/test/basic/static_functions.cpp b/test/basic/static_functions.cpp
new file mode 100644
index 0000000..4330b63
--- /dev/null
+++ b/test/basic/static_functions.cpp
@@ -0,0 +1,96 @@
+//==================================================================================================
+/*
+  ROTGEN - Runtime Overlay for Eigen
+  Copyright : CODE RECKONS
+  SPDX-License-Identifier: BSL-1.0
+*/
+//==================================================================================================
+#define TTS_MAIN
+#include <rotgen/matrix.hpp>
+#include "tts.hpp"
+
+template <typename MatrixType>
+void test_zero(const MatrixType& matrix, std::size_t rows, std::size_t cols)
+{
+  for(std::size_t r=0;r<rows;++r)
+    for(std::size_t c=0;c<cols;++c)
+      TTS_EQUAL(matrix(r, c), 0);
+}
+
+template <typename MatrixType>
+void test_constant(const MatrixType& matrix, std::size_t rows, std::size_t cols, double constant)
+{
+  for(std::size_t r=0;r<rows;++r)
+    for(std::size_t c=0;c<cols;++c)
+      TTS_EQUAL(matrix(r, c), constant);
+
+  constexpr double epsilon = 1e-10;
+  TTS_RELATIVE_EQUAL(rows * cols * constant, matrix.sum(), epsilon);
+}
+
+template <typename MatrixType>
+void test_random(const MatrixType& matrix, std::size_t rows, std::size_t cols)
+{
+  for(std::size_t r=0;r<rows;++r)
+    for(std::size_t c=0;c<cols;++c)
+    {
+      TTS_GREATER_EQUAL(matrix(r, c), -1.0);
+      TTS_LESS_EQUAL(matrix(r, c), 1.0);
+    }
+}
+
+template <typename MatrixType>
+void test_identity(const MatrixType& matrix, std::size_t rows, std::size_t cols)
+{
+  for(std::size_t r=0;r<rows;++r)
+    for(std::size_t c=0;c<cols;++c)
+      TTS_EQUAL(matrix(r, c), r==c ? 1 : 0);
+
+
+  std::size_t minimum = std::min(rows, cols);
+  TTS_EQUAL(matrix.trace(), minimum);
+}
+
+TTS_CASE("Test zero")
+{
+  test_zero(rotgen::matrix<double, 3, 4>::Zero(), 3, 4);
+  test_zero(rotgen::matrix<double, 1, 1>::Zero(), 1, 1);
+  test_zero(rotgen::matrix<double, 10, 10>::Zero(), 10, 10);
+  test_zero(rotgen::matrix<double>::Zero(3, 4), 3, 4);
+  test_zero(rotgen::matrix<double, 7, 5>::Zero(7, 5), 7, 5);
+  test_zero(rotgen::matrix<double, 9>::Zero(9, 3), 9, 3);
+  test_zero(rotgen::matrix<double, -1, 3>::Zero(2, 3), 2, 3);
+};
+
+TTS_CASE("Test constant")
+{
+  test_constant(rotgen::matrix<double, 3, 8>::Constant(5.12), 3, 8, 5.12);
+  test_constant(rotgen::matrix<double, 1, 1>::Constant(2.2), 1, 1, 2.2);
+  test_constant(rotgen::matrix<double, 11, 12>::Constant(13), 11, 12, 13);
+  test_constant(rotgen::matrix<double>::Constant(2, 7, 5.6), 2, 7, 5.6);
+  test_constant(rotgen::matrix<double, 2, 2>::Constant(2, 2, 2.0), 2, 2, 2.0);
+  test_constant(rotgen::matrix<double, 9>::Constant(9, 3, 1.1), 9, 3, 1.1);
+  test_constant(rotgen::matrix<double, -1, 9>::Constant(5, 9, 42), 5, 9, 42);
+};
+
+TTS_CASE("Test random")
+{
+  test_random(rotgen::matrix<double, 2, 3>::Random(), 2, 3);
+  test_random(rotgen::matrix<double, 1, 1>::Random(), 1, 1);
+  test_random(rotgen::matrix<double, 11, 17>::Random(), 11, 17);
+  test_random(rotgen::matrix<double>::Random(7, 3), 7, 3);
+  test_random(rotgen::matrix<double, 2, 2>::Random(2, 2), 2, 2);
+  test_random(rotgen::matrix<double, 4, -1>::Random(4, 3), 4, 3);
+  test_random(rotgen::matrix<double, -1, 5>::Random(5, 5), 5, 5);
+};
+
+TTS_CASE("Test identity")
+{
+  test_identity(rotgen::matrix<double, 4, 5>::Identity(), 4, 5);
+  test_identity(rotgen::matrix<double, 1, 1>::Identity(), 1, 1);
+  test_identity(rotgen::matrix<double, 21, 3>::Identity(), 21, 3);
+  test_identity(rotgen::matrix<double>::Identity(2, 7), 2, 7);
+  test_identity(rotgen::matrix<double, 2, 2>::Identity(2, 2), 2, 2);
+  test_identity(rotgen::matrix<double, 3>::Identity(3, 3), 3, 3);
+  test_identity(rotgen::matrix<double, -1, 11>::Identity(5, 11), 5, 11);
+};