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author | Hauke Heibel <hauke.heibel@gmail.com> | 2010-08-05 08:56:19 +0200 |
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committer | Hauke Heibel <hauke.heibel@gmail.com> | 2010-08-05 08:56:19 +0200 |
commit | 3dd822586288ae14ef5cecef166a54c803d355a8 (patch) | |
tree | 322120e83e65b039f70c64531b1b726a8b47ab79 /Eigen/src/QR/FullPivHouseholderQR.h | |
parent | 976d7c19e82d2b25640e8b7a95376ac09041ab80 (diff) |
Added more detailed docs to the QR decompositions classes.
Diffstat (limited to 'Eigen/src/QR/FullPivHouseholderQR.h')
-rw-r--r-- | Eigen/src/QR/FullPivHouseholderQR.h | 8 |
1 files changed, 7 insertions, 1 deletions
diff --git a/Eigen/src/QR/FullPivHouseholderQR.h b/Eigen/src/QR/FullPivHouseholderQR.h index 201d63128..e228aeb44 100644 --- a/Eigen/src/QR/FullPivHouseholderQR.h +++ b/Eigen/src/QR/FullPivHouseholderQR.h @@ -34,7 +34,13 @@ * * \param MatrixType the type of the matrix of which we are computing the QR decomposition * - * This class performs a rank-revealing QR decomposition using Householder transformations. + * This class performs a rank-revealing QR decomposition of a matrix \b A into matrices \b P, \b Q and \b R + * such that + * \f[ + * \mathbf{A} \, \mathbf{P} = \mathbf{Q} \, \mathbf{R} + * \f] + * by using Householder transformations. Here, \b P is a permutation matrix, \b Q a unitary matrix and \b R an + * upper triangular matrix. * * This decomposition performs a very prudent full pivoting in order to be rank-revealing and achieve optimal * numerical stability. The trade-off is that it is slower than HouseholderQR and ColPivHouseholderQR. |