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new implementation of diagonal matrices and diagonal matrix expressions

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This commit is contained in:
Benoit Jacob
2009-06-28 21:27:37 +02:00
parent fc9000f23e
commit 6809f7b1cd
21 changed files with 385 additions and 376 deletions
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8
test/eigensolver_selfadjoint.cpp
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@@ -75,7 +75,7 @@ template<typename MatrixType> void selfadjointeigensolver(const MatrixType& m)
convert(gEvec, _evec);
// test gsl itself !
VERIFY((symmA * _evec).isApprox(_evec * _eval.asDiagonal().eval(), largerEps));
VERIFY((symmA * _evec).isApprox(_evec * _eval.asDiagonal(), largerEps));
// compare with eigen
VERIFY_IS_APPROX(_eval, eiSymm.eigenvalues());
@@ -86,7 +86,7 @@ template<typename MatrixType> void selfadjointeigensolver(const MatrixType& m)
convert(gEval, _eval);
convert(gEvec, _evec);
// test GSL itself:
VERIFY((symmA * _evec).isApprox(symmB * (_evec * _eval.asDiagonal().eval()), largerEps));
VERIFY((symmA * _evec).isApprox(symmB * (_evec * _eval.asDiagonal()), largerEps));
// compare with eigen
// std::cerr << _eval.transpose() << "\n" << eiSymmGen.eigenvalues().transpose() << "\n\n";
@@ -102,11 +102,11 @@ template<typename MatrixType> void selfadjointeigensolver(const MatrixType& m)
#endif
VERIFY((symmA * eiSymm.eigenvectors()).isApprox(
eiSymm.eigenvectors() * eiSymm.eigenvalues().asDiagonal().eval(), largerEps));
eiSymm.eigenvectors() * eiSymm.eigenvalues().asDiagonal(), largerEps));
// generalized eigen problem Ax = lBx
VERIFY((symmA * eiSymmGen.eigenvectors()).isApprox(
symmB * (eiSymmGen.eigenvectors() * eiSymmGen.eigenvalues().asDiagonal().eval()), largerEps));
symmB * (eiSymmGen.eigenvectors() * eiSymmGen.eigenvalues().asDiagonal()), largerEps));
MatrixType sqrtSymmA = eiSymm.operatorSqrt();
VERIFY_IS_APPROX(symmA, sqrtSymmA*sqrtSymmA);