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* add a HouseholderSequence class (not good enough yet for Triadiagonalization and HessenbergDecomposition)

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* rework a bit AnyMatrixBase, and mobe it to a separate file
This commit is contained in:
Gael Guennebaud
2009-09-16 14:35:42 +02:00
parent 77f858f6ab
commit 49dd5d7847
12 changed files with 339 additions and 103 deletions
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9
test/householder.cpp
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@@ -43,7 +43,7 @@ template<typename MatrixType> void householder(const MatrixType& m)
Matrix<Scalar, EIGEN_ENUM_MAX(MatrixType::RowsAtCompileTime,MatrixType::ColsAtCompileTime), 1> _tmp(std::max(rows,cols));
Scalar* tmp = &_tmp.coeffRef(0,0);
Scalar beta;
RealScalar alpha;
EssentialVectorType essential;
@@ -58,7 +58,7 @@ template<typename MatrixType> void householder(const MatrixType& m)
v2 = v1;
v1.applyHouseholderOnTheLeft(essential,beta,tmp);
VERIFY_IS_APPROX(v1.norm(), v2.norm());
MatrixType m1(rows, cols),
m2(rows, cols);
@@ -72,7 +72,7 @@ template<typename MatrixType> void householder(const MatrixType& m)
VERIFY_IS_MUCH_SMALLER_THAN(m1.block(1,0,rows-1,cols).norm(), m1.norm());
VERIFY_IS_MUCH_SMALLER_THAN(ei_imag(m1(0,0)), ei_real(m1(0,0)));
VERIFY_IS_APPROX(ei_real(m1(0,0)), alpha);
v1 = VectorType::Random(rows);
if(even) v1.end(rows-1).setZero();
SquareMatrixType m3(rows,rows), m4(rows,rows);
@@ -84,6 +84,9 @@ template<typename MatrixType> void householder(const MatrixType& m)
VERIFY_IS_MUCH_SMALLER_THAN(m3.block(0,1,rows,rows-1).norm(), m3.norm());
VERIFY_IS_MUCH_SMALLER_THAN(ei_imag(m3(0,0)), ei_real(m3(0,0)));
VERIFY_IS_APPROX(ei_real(m3(0,0)), alpha);
// test householder sequence
// TODO test HouseholderSequence
}
void test_householder()