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Minor corrections in QR docs.

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Jitse Niesen 2013-12-31 18:06:28 +00:00
parent 4cd4be97a7
commit a58325ac2f
2 changed files with 7 additions and 5 deletions
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4
Eigen/QR
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@ -15,7 +15,9 @@
* *
* This module provides various QR decompositions * This module provides various QR decompositions
* This module also provides some MatrixBase methods, including: * This module also provides some MatrixBase methods, including:
* - MatrixBase::qr(), * - MatrixBase::householderQr()
* - MatrixBase::colPivHouseholderQr()
* - MatrixBase::fullPivHouseholderQr()
* *
* \code * \code
* #include <Eigen/QR> * #include <Eigen/QR>

8
Eigen/src/QR/FullPivHouseholderQR.h
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@ -33,13 +33,13 @@ struct traits<FullPivHouseholderQRMatrixQReturnType<MatrixType> >
* *
* \param MatrixType the type of the matrix of which we are computing the QR decomposition * \param MatrixType the type of the matrix of which we are computing the QR decomposition
* *
* This class performs a rank-revealing QR decomposition of a matrix \b A into matrices \b P, \b Q and \b R * This class performs a rank-revealing QR decomposition of a matrix \b A into matrices \b P, \b P', \b Q and \b R
* such that * such that
* \f[ * \f[
* \mathbf{A} \, \mathbf{P} = \mathbf{Q} \, \mathbf{R} * \mathbf{P} \, \mathbf{A} \, \mathbf{P}' = \mathbf{Q} \, \mathbf{R}
* \f] * \f]
* by using Householder transformations. Here, \b P is a permutation matrix, \b Q a unitary matrix and \b R an * by using Householder transformations. Here, \b P and \b P' are permutation matrices, \b Q a unitary matrix
* upper triangular 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 * 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. * numerical stability. The trade-off is that it is slower than HouseholderQR and ColPivHouseholderQR.