Update eigenvalues() and operatorNorm() methods in MatrixBase.

* use SelfAdjointView instead of Eigen2's SelfAdjoint flag.
* add tests and documentation.
* allow eigenvalues() for non-selfadjoint matrices.
* they no longer depend only on SelfAdjointEigenSolver, so move them to
  a separate file

Eigen/src/Core/MatrixBase.h

@@ -136,8 +136,8 @@ template<typename Derived> class MatrixBase
                         CwiseUnaryOp<ei_scalar_conjugate_op<Scalar>, Eigen::Transpose<Derived> >,
                         Transpose<Derived>
                      >::ret AdjointReturnType;
-    /** \internal the return type of MatrixBase::eigenvalues() */
-    typedef Matrix<typename NumTraits<typename ei_traits<Derived>::Scalar>::Real, ei_traits<Derived>::ColsAtCompileTime, 1> EigenvaluesReturnType;
+    /** \internal Return type of eigenvalues() */
+    typedef Matrix<std::complex<RealScalar>, ei_traits<Derived>::ColsAtCompileTime, 1> EigenvaluesReturnType;
     /** \internal the return type of identity */
     typedef CwiseNullaryOp<ei_scalar_identity_op<Scalar>,Derived> IdentityReturnType;
     /** \internal the return type of unit vectors */

Eigen/src/Core/SelfAdjointView.h

@@ -153,6 +153,16 @@ template<typename MatrixType, unsigned int UpLo> class SelfAdjointView
     const LLT<PlainObject, UpLo> llt() const;
     const LDLT<PlainObject> ldlt() const;
 
+/////////// Eigenvalue module ///////////
+
+    /** Real part of #Scalar */
+    typedef typename NumTraits<Scalar>::Real RealScalar;
+    /** Return type of eigenvalues() */
+    typedef Matrix<RealScalar, ei_traits<MatrixType>::ColsAtCompileTime, 1> EigenvaluesReturnType;
+
+    EigenvaluesReturnType eigenvalues() const;
+    RealScalar operatorNorm() const;
+
   protected:
     const typename MatrixType::Nested m_matrix;
 };