diff --git a/src/Core.h b/src/Core.h
index d0e0c05ec..3ab2cf965 100644
--- a/src/Core.h
+++ b/src/Core.h
@@ -6,7 +6,7 @@
 namespace Eigen {
 
 #include "Core/Util.h"
-#include "Core/Numeric.h"
+#include "Core/NumTraits.h"
 #include "Core/Object.h"
 #include "Core/CopyHelper.h"
 #include "Core/MatrixRef.h"
diff --git a/src/Core/Block.h b/src/Core/Block.h
index a6dc51df1..d705133b5 100644
--- a/src/Core/Block.h
+++ b/src/Core/Block.h
@@ -76,9 +76,10 @@ template<typename MatrixType> class Block
 
 template<typename Scalar, typename Derived>
 Block<Derived>
-Object<Scalar, Derived>::block(int startRow, int endRow, int startCol, int endCol)
+Object<Scalar, Derived>::block(int startRow, int endRow, int startCol, int endCol) const
 {
-  return Block<Derived>(static_cast<Derived*>(this)->ref(), startRow, endRow, startCol, endCol);
+  return Block<Derived>(static_cast<Derived*>(const_cast<Object*>(this))->ref(),
+                        startRow, endRow, startCol, endCol);
 }
 
 #endif // EI_BLOCK_H
diff --git a/src/Core/Minor.h b/src/Core/Minor.h
index 30bba17cc..95d52f293 100644
--- a/src/Core/Minor.h
+++ b/src/Core/Minor.h
@@ -75,9 +75,9 @@ template<typename MatrixType> class Minor
 
 template<typename Scalar, typename Derived>
 Minor<Derived>
-Object<Scalar, Derived>::minor(int row, int col)
+Object<Scalar, Derived>::minor(int row, int col) const
 {
-  return Minor<Derived>(static_cast<Derived*>(this)->ref(), row, col);
+  return Minor<Derived>(static_cast<Derived*>(const_cast<Object*>(this))->ref(), row, col);
 }
 
 #endif // EI_MINOR_H
diff --git a/src/Core/Numeric.h b/src/Core/NumTraits.h
similarity index 100%
rename from src/Core/Numeric.h
rename to src/Core/NumTraits.h
diff --git a/src/Core/Object.h b/src/Core/Object.h
index e53b5be49..72928406b 100644
--- a/src/Core/Object.h
+++ b/src/Core/Object.h
@@ -97,9 +97,9 @@ template<typename Scalar, typename Derived> class Object
     
     Row<Derived> row(int i) const;
     Column<Derived> col(int i) const;
-    Minor<Derived> minor(int row, int col);
-    Block<Derived> block(int startRow, int endRow, int startCol, int endCol);
-    Transpose<Derived> transpose();
+    Minor<Derived> minor(int row, int col) const;
+    Block<Derived> block(int startRow, int endRow, int startCol, int endCol) const;
+    Transpose<Derived> transpose() const;
     Conjugate<Derived> conjugate() const;
     Transpose<Conjugate<Derived> > adjoint() const { return conjugate().transpose(); }
     Scalar trace() const;
diff --git a/src/Core/Transpose.h b/src/Core/Transpose.h
index 2bc8c7575..b15ad4691 100644
--- a/src/Core/Transpose.h
+++ b/src/Core/Transpose.h
@@ -66,9 +66,9 @@ template<typename MatrixType> class Transpose
 
 template<typename Scalar, typename Derived>
 Transpose<Derived>
-Object<Scalar, Derived>::transpose()
+Object<Scalar, Derived>::transpose() const
 {
-  return Transpose<Derived>(static_cast<Derived*>(this)->ref());
+  return Transpose<Derived>(static_cast<Derived*>(const_cast<Object*>(this))->ref());
 }
 
 #endif // EI_TRANSPOSE_H