Gregorio Quintana-Ort'i, Xiaobai Sun, and Christian H. Bischof. A BLAS-3 version of the QR factorization with column pivoting. Preprint MCS-P5511295, Mathematics and Computer Science Division, Argonne National Laboratory, 1995. Home/Search Document Details and Download
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QR Factorization with Complete Pivoting and Accurate Computation.. - Higham (1999) (1 citation) (Correct)
....for row pivoting; however, Theorem 2.5 is stronger for row pivoting than for row sorting. When implementing the QR factorization, after sorting the rows one can call any library routine for QR factorization with column pivoting, such as xGEQPF from LAPACK. Neither xGEQPF nor the code from [11] support row pivoting, and incorporating it into the latter code while retaining the use of level 3 BLAS is a nontrivial task. Therefore, given that the observed accuracy of Algorithm SVD QR is similar for the two choices, we prefer row sorting. We have shown that computing the explicit residual ....
Gregorio Quintana-Ort'i, Xiaobai Sun, and Christian H. Bischof. A BLAS-3 version of the QR factorization with column pivoting. SIAM J. Sci. Comput., 19(5):1486-- 1494, 1998. 25
Codes for Computing Deflating Subspaces of Matrix Pencils - Orti, Orti, Sun (1999) Self-citation (Quintana Sun) (Correct)
No context found.
G. Quintana, X. Sun, and C. H. Bischof. A BLAS-3 version of the QR factorization with column pivoting. Technical Report MCS-P5511295, Mathematics and Computer Science Division, Argonne National Laboratory, 1996. to appear in SIAM J. Sci. Comp.
Partial Stabilization of Large-Scale Discrete-Time .. - Benner, Castillo, .. Self-citation (Quintana-ort) (Correct)
....the stabilizing feedback as F = 0; F 2 )U T . In stage 2, we can use a QR factorization with column pivoting to obtain an approximate rank revealing factorization [14] Theoretically this orthogonal factorization may fail to reveal the rank, though in practice this is a reliable numerical tool [9, 27]. In case A has eigenvalues on the unit circle we can nevertheless apply the algorithm to the matrix pair (A= B) for 2 IR slightly smaller than 1. Thus, we divide the spectrum of A 6 along a circle of radius and stabilize those eigenvalues with absolute magnitude larger than . Choosing ....
G. Quintana-Ort, X. Sun, and C.H. Bischof. A BLAS-3 version of the QR factorization with column pivoting. SIAM J. Sci. Comput., 19:1486-1494, 1998. 11
On the Efficient Computing of Rank-Revealing QR Factorizations.. - Orti, Orti (1996) (Correct)
No context found.
Gregorio Quintana-Ort'i, Xiaobai Sun, and Christian H. Bischof. A BLAS-3 version of the QR factorization with column pivoting. Preprint MCS-P5511295, Mathematics and Computer Science Division, Argonne National Laboratory, 1995.
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