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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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23
test/eigensolver_complex.cpp
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@@ -26,6 +26,21 @@
#include <Eigen/Eigenvalues>
#include <Eigen/LU>
/* Check that two column vectors are approximately equal upto permutations,
by checking that the k-th power sums are equal for k = 1, ..., vec1.rows() */
template<typename VectorType>
void verify_is_approx_upto_permutation(const VectorType& vec1, const VectorType& vec2)
{
VERIFY(vec1.cols() == 1);
VERIFY(vec2.cols() == 1);
VERIFY(vec1.rows() == vec2.rows());
for (int k = 1; k <= vec1.rows(); ++k)
{
VERIFY_IS_APPROX(vec1.array().pow(k).sum(), vec2.array().pow(k).sum());
}
}
template<typename MatrixType> void eigensolver(const MatrixType& m)
{
/* this test covers the following files:
@@ -48,11 +63,17 @@ template<typename MatrixType> void eigensolver(const MatrixType& m)
ComplexEigenSolver<MatrixType> ei1(a);
VERIFY_IS_APPROX(a * ei1.eigenvectors(), ei1.eigenvectors() * ei1.eigenvalues().asDiagonal());
// Note: If MatrixType is real then a.eigenvalues() uses EigenSolver and thus
// another algorithm so results may differ slightly
verify_is_approx_upto_permutation(a.eigenvalues(), ei1.eigenvalues());
// Regression test for issue #66
MatrixType z = MatrixType::Zero(rows,cols);
ComplexEigenSolver<MatrixType> eiz(z);
VERIFY((eiz.eigenvalues().cwiseEqual(0)).all());
MatrixType id = MatrixType::Identity(rows, cols);
VERIFY_IS_APPROX(id.operatorNorm(), RealScalar(1));
}
void test_eigensolver_complex()