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author | Gael Guennebaud <g.gael@free.fr> | 2014-06-20 15:55:44 +0200 |
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committer | Gael Guennebaud <g.gael@free.fr> | 2014-06-20 15:55:44 +0200 |
commit | b29b81a1f46ad3b7340c9bbb8d1e23685e5ca756 (patch) | |
tree | ec31545094cba7c9d72c9132963fa3fecd448726 /Eigen/src/LU/FullPivLU.h | |
parent | 47585c8ab238f6a49b8097e221fa4b30763ef942 (diff) | |
parent | 963d338922e9ef1addcd29c1b43e9b66243207c0 (diff) |
merge with default branch
Diffstat (limited to 'Eigen/src/LU/FullPivLU.h')
-rw-r--r-- | Eigen/src/LU/FullPivLU.h | 13 |
1 files changed, 7 insertions, 6 deletions
diff --git a/Eigen/src/LU/FullPivLU.h b/Eigen/src/LU/FullPivLU.h index 78cd9b90f..daf99e305 100644 --- a/Eigen/src/LU/FullPivLU.h +++ b/Eigen/src/LU/FullPivLU.h @@ -29,10 +29,11 @@ template<typename _MatrixType> struct traits<FullPivLU<_MatrixType> > * * \param MatrixType the type of the matrix of which we are computing the LU decomposition * - * This class represents a LU decomposition of any matrix, with complete pivoting: the matrix A - * is decomposed as A = PLUQ where L is unit-lower-triangular, U is upper-triangular, and P and Q - * are permutation matrices. This is a rank-revealing LU decomposition. The eigenvalues (diagonal - * coefficients) of U are sorted in such a way that any zeros are at the end. + * This class represents a LU decomposition of any matrix, with complete pivoting: the matrix A is + * decomposed as \f$ A = P^{-1} L U Q^{-1} \f$ where L is unit-lower-triangular, U is + * upper-triangular, and P and Q are permutation matrices. This is a rank-revealing LU + * decomposition. The eigenvalues (diagonal coefficients) of U are sorted in such a way that any + * zeros are at the end. * * This decomposition provides the generic approach to solving systems of linear equations, computing * the rank, invertibility, inverse, kernel, and determinant. @@ -546,8 +547,8 @@ typename internal::traits<MatrixType>::Scalar FullPivLU<MatrixType>::determinant } /** \returns the matrix represented by the decomposition, - * i.e., it returns the product: P^{-1} L U Q^{-1}. - * This function is provided for debug purpose. */ + * i.e., it returns the product: \f$ P^{-1} L U Q^{-1} \f$. + * This function is provided for debug purposes. */ template<typename MatrixType> MatrixType FullPivLU<MatrixType>::reconstructedMatrix() const { |