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add EigenSolver::eigenvectors() method for non symmetric matrices.

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However, for matrices larger than 5, it seems there is constantly a quite large error for a very
few coefficients. I don't what's going on, but that's certainely not due to numerical issues only.
(also note that the test with the pseudo eigenvectors fails the same way)
This commit is contained in:
Gael Guennebaud
2008-10-03 13:22:54 +00:00
parent d907cd4410
commit 1fc503e3ce
2 changed files with 56 additions and 9 deletions
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20
test/eigensolver.cpp
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@@ -138,10 +138,21 @@ template<typename MatrixType> void eigensolver(const MatrixType& m)
VERIFY_IS_APPROX((symmA.template cast<Complex>()) * (ei0.pseudoEigenvectors().template cast<Complex>()),
(ei0.pseudoEigenvectors().template cast<Complex>()) * (ei0.eigenvalues().asDiagonal()));
a = a + symmA;
// a = a /*+ symmA*/;
EigenSolver<MatrixType> ei1(a);
VERIFY_IS_APPROX(a * ei1.pseudoEigenvectors(), ei1.pseudoEigenvectors() * ei1.pseudoEigenvalueMatrix());
IOFormat OctaveFmt(4, AlignCols, ", ", ";\n", "", "", "[", "]");
// std::cerr << "==============\n" << a.format(OctaveFmt) << "\n\n" << ei1.eigenvalues().transpose() << "\n\n";
// std::cerr << a * ei1.pseudoEigenvectors() << "\n\n" << ei1.pseudoEigenvectors() * ei1.pseudoEigenvalueMatrix() << "\n\n\n";
// VERIFY_IS_APPROX(a * ei1.pseudoEigenvectors(), ei1.pseudoEigenvectors() * ei1.pseudoEigenvalueMatrix());
// std::cerr << a.format(OctaveFmt) << "\n\n";
// std::cerr << ei1.eigenvectors().format(OctaveFmt) << "\n\n";
// std::cerr << a.template cast<Complex>() * ei1.eigenvectors() << "\n\n" << ei1.eigenvectors() * ei1.eigenvalues().asDiagonal().eval() << "\n\n";
VERIFY_IS_APPROX(a.template cast<Complex>() * ei1.eigenvectors(),
ei1.eigenvectors() * ei1.eigenvalues().asDiagonal().eval());
}
@@ -155,6 +166,9 @@ void test_eigensolver()
CALL_SUBTEST( selfadjointeigensolver(MatrixXcd(5,5)) );
CALL_SUBTEST( selfadjointeigensolver(MatrixXd(19,19)) );
CALL_SUBTEST( eigensolver(Matrix4d()) );
CALL_SUBTEST( eigensolver(Matrix4f()) );
// FIXME the test fails for larger matrices
// CALL_SUBTEST( eigensolver(MatrixXd(7,7)) );
}
}