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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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4
test/eigensolver_selfadjoint.cpp
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@@ -103,6 +103,7 @@ template<typename MatrixType> void selfadjointeigensolver(const MatrixType& m)
VERIFY((symmA * eiSymm.eigenvectors()).isApprox(
eiSymm.eigenvectors() * eiSymm.eigenvalues().asDiagonal(), largerEps));
VERIFY_IS_APPROX(symmA.template selfadjointView<Lower>().eigenvalues(), eiSymm.eigenvalues());
// generalized eigen problem Ax = lBx
VERIFY((symmA * eiSymmGen.eigenvectors()).isApprox(
@@ -111,6 +112,9 @@ template<typename MatrixType> void selfadjointeigensolver(const MatrixType& m)
MatrixType sqrtSymmA = eiSymm.operatorSqrt();
VERIFY_IS_APPROX(symmA, sqrtSymmA*sqrtSymmA);
VERIFY_IS_APPROX(sqrtSymmA, symmA*eiSymm.operatorInverseSqrt());
MatrixType id = MatrixType::Identity(rows, cols);
VERIFY_IS_APPROX(id.template selfadjointView<Lower>().operatorNorm(), RealScalar(1));
}
void test_eigensolver_selfadjoint()