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LU class:

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* add image() and computeImage() methods, with unit test
* fix a mistake in the definition of KernelResultType
* fix and improve comments
This commit is contained in:
Benoit Jacob
2008-12-17 16:47:55 +00:00
parent e3a8431a4a
commit c22d10f94c
2 changed files with 91 additions and 21 deletions
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12
test/lu.cpp
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@@ -64,14 +64,19 @@ template<typename MatrixType> void lu_non_invertible()
doSomeRankPreservingOperations(m1);
LU<MatrixType> lu(m1);
typename LU<MatrixType>::KernelResultType m1kernel = lu.kernel();
typename LU<MatrixType>::ImageResultType m1image = lu.image();
VERIFY(cols - rank == lu.dimensionOfKernel());
VERIFY(rank == lu.rank());
VERIFY(!lu.isInjective());
VERIFY(!lu.isInvertible());
VERIFY(lu.isSurjective() == (lu.rank() == rows));
VERIFY((m1 * lu.kernel()).isMuchSmallerThan(m1));
lu.computeKernel(&k);
VERIFY((m1 * k).isMuchSmallerThan(m1));
VERIFY((m1 * m1kernel).isMuchSmallerThan(m1));
VERIFY(m1image.lu().rank() == rank);
MatrixType sidebyside(m1.rows(), m1.cols() + m1image.cols());
sidebyside << m1, m1image;
VERIFY(sidebyside.lu().rank() == rank);
m2 = MatrixType::Random(cols,cols2);
m3 = m1*m2;
m2 = MatrixType::Random(cols,cols2);
@@ -105,6 +110,7 @@ template<typename MatrixType> void lu_invertible()
VERIFY(lu.isInjective());
VERIFY(lu.isSurjective());
VERIFY(lu.isInvertible());
VERIFY(lu.image().lu().isInvertible());
m3 = MatrixType::Random(size,size);
lu.solve(m3, &m2);
VERIFY_IS_APPROX(m3, m1*m2);