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

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* 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
This commit is contained in:
Jitse Niesen
2010-05-24 17:43:50 +01:00
parent 8a3f552e39
commit e7d809d434
12 changed files with 222 additions and 56 deletions
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53
Eigen/src/Eigenvalues/SelfAdjointEigenSolver.h
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@@ -481,59 +481,6 @@ compute(const MatrixType& matA, const MatrixType& matB, bool computeEigenvectors
#endif // EIGEN_HIDE_HEAVY_CODE
/** \eigenvalues_module
*
* \returns a vector listing the eigenvalues of this matrix.
*/
template<typename Derived>
inline Matrix<typename NumTraits<typename ei_traits<Derived>::Scalar>::Real, ei_traits<Derived>::ColsAtCompileTime, 1>
MatrixBase<Derived>::eigenvalues() const
{
ei_assert(Flags&SelfAdjoint);
return SelfAdjointEigenSolver<typename Derived::PlainObject>(eval(),false).eigenvalues();
}
template<typename Derived, bool IsSelfAdjoint>
struct ei_operatorNorm_selector
{
static inline typename NumTraits<typename ei_traits<Derived>::Scalar>::Real
operatorNorm(const MatrixBase<Derived>& m)
{
// FIXME if it is really guaranteed that the eigenvalues are already sorted,
// then we don't need to compute a maxCoeff() here, comparing the 1st and last ones is enough.
return m.eigenvalues().cwiseAbs().maxCoeff();
}
};
template<typename Derived> struct ei_operatorNorm_selector<Derived, false>
{
static inline typename NumTraits<typename ei_traits<Derived>::Scalar>::Real
operatorNorm(const MatrixBase<Derived>& m)
{
typename Derived::PlainObject m_eval(m);
// FIXME if it is really guaranteed that the eigenvalues are already sorted,
// then we don't need to compute a maxCoeff() here, comparing the 1st and last ones is enough.
return ei_sqrt(
(m_eval*m_eval.adjoint())
.template marked<SelfAdjoint>()
.eigenvalues()
.maxCoeff()
);
}
};
/** \eigenvalues_module
*
* \returns the matrix norm of this matrix.
*/
template<typename Derived>
inline typename NumTraits<typename ei_traits<Derived>::Scalar>::Real
MatrixBase<Derived>::operatorNorm() const
{
return ei_operatorNorm_selector<Derived, Flags&SelfAdjoint>
::operatorNorm(derived());
}
#ifndef EIGEN_EXTERN_INSTANTIATIONS
template<typename RealScalar, typename Scalar>
static void ei_tridiagonal_qr_step(RealScalar* diag, RealScalar* subdiag, int start, int end, Scalar* matrixQ, int n)