diff --git a/include/matrix_alloc.hpp b/include/matrix_alloc.hpp
index 80459ba..690f504 100644
--- a/include/matrix_alloc.hpp
+++ b/include/matrix_alloc.hpp
@@ -11,39 +11,38 @@
 
 namespace matrix_alloc {
 
-/// @brief Allocate a 2-dimensional table row-major order.
+/// @brief  Allocate a 2-dimensional array.  (Uses row-major order.)
 template<typename Entry>
 void Alloc2D(size_t nrows,          //!< size of the array (number of rows)
              size_t ncols,          //!< size of the array (number of columns)
-             Entry ***paaX          //!< pointer to a 2-D C-style array
+             Entry ***paaX          //!< pointer to a 2D C-style array
              );
 
-/// @brief  This function is the corresponding way to deallocate
-///         arrays that were created using Alloc2D().
+/// @brief  Deallocate arrays that were created using Alloc2D().
 template<typename Entry>
-void Dealloc2D(Entry ***paaX        //!< pointer to 2-D multidimensional array
+void Dealloc2D(Entry ***paaX        //!< pointer to a 2D C-style array
                );
 
 
-// --- IMPLEMENTATION ---
+
+// ---- IMPLEMENTATION ----
+
 
 template<typename Entry>
 void Alloc2D(size_t nrows,          // size of the array (number of rows)
              size_t ncols,          // size of the array (number of columns)
-             Entry ***paaX)         // pointer to a 2-D C-style array
+             Entry ***paaX)         // pointer to a 2D C-style array
 {
   assert(paaX);
-  // Allocate a conventional 2-dimensional
-  // pointer-to-a-pointer data structure.
-  *paaX = new Entry* [nrows];
-  (*paaX)[0] = new Entry [nrows * ncols];
+  *paaX = new Entry* [nrows];  //conventional 2D C array (pointer-to-pointer)
+  (*paaX)[0] = new Entry [nrows * ncols];  // 1D C array (contiguous memor)
   for(size_t iy=0; iy<nrows; iy++)
     (*paaX)[iy] = (*paaX)[0] + iy*ncols;
-  // The caller can access the contents using (*paaX)[i][j] notation.
+  // The caller can access the contents using (*paaX)[i][j]
 }
 
 template<typename Entry>
-void Dealloc2D(Entry ***paaX)       // pointer to 2-D multidimensional array
+void Dealloc2D(Entry ***paaX)       // pointer to a 2D C-style array
 {
   if (paaX && *paaX) {
     delete [] (*paaX)[0];