On the Failure of Rank-Revealing QR Factorization Software -- A Case Study
暂无分享,去创建一个
[1] T. Chan. Rank Revealing OR Factorizations * , 2001 .
[2] Z. Drmač,et al. On the Perturbation of the Cholesky Factorization , 1994 .
[3] Christian H. Bischof,et al. Computing rank-revealing QR factorizations of dense matrices , 1998, TOMS.
[4] Ji-guang Sun. Perturbation bounds for the Cholesky andQR factorizations , 1991 .
[5] John K. Reid,et al. On applying Householder transformations to linear least squares problems , 1968, IFIP Congress.
[6] Nicholas J. Higham,et al. INVERSE PROBLEMS NEWSLETTER , 1991 .
[7] Ilse C. F. Ipsen,et al. On Rank-Revealing Factorisations , 1994, SIAM J. Matrix Anal. Appl..
[8] Nicholas J. Higham,et al. QR factorization with complete pivoting and accurate computation of the SVD , 2000 .
[9] G. Stewart. Perturbation Bounds for the $QR$ Factorization of a Matrix , 1977 .
[10] Christian H. Bischof,et al. A BLAS-3 Version of the QR Factorization with Column Pivoting , 1998, SIAM J. Sci. Comput..
[11] V. Hari,et al. A note on a one-sided Jacobi algorithm , 1989 .
[12] Zlatko Drmac,et al. New Fast and Accurate Jacobi SVD Algorithm. I , 2007, SIAM J. Matrix Anal. Appl..
[13] G. W. Stewarty. On the Perturbation of LU, Cholesky, and QR Factorizations , 2007 .
[14] Nicholas J. Higham,et al. Stability of Householder QR Factorization for Weighted Least Squares Problems , 2010 .
[15] Z. Drmač. A posteriori computation of the singular vectors in a preconditioned Jacobi SVD algorithm , 1999 .
[16] G. Golub,et al. Linear least squares solutions by householder transformations , 1965 .
[17] G. Stewart. On the perturbation of LU, Cholesky, and QR factorizations , 1993 .
[18] Zlatko Drmac,et al. New Fast and Accurate Jacobi SVD Algorithm. II , 2007, SIAM J. Matrix Anal. Appl..