-
2
-
-
0006711389
-
Efficient Singular Value Decomposition Via Improved Document Sampling
-
Tech. Rep. CS-99-5, Department of Computer Science, Duke University
-
F. Jiang, R. Kannan, M. Littman, S. Vempala, Efficient Singular Value Decomposition Via Improved Document Sampling, Tech. Rep. CS-99-5, Department of Computer Science, Duke University, 1999.
-
(1999)
-
-
Jiang, F.1
Kannan, R.2
Littman, M.3
Vempala, S.4
-
3
-
-
0000288016
-
Calculating the singular values and pseudo-inverse of a matrix
-
Golub G., and Kahan W. Calculating the singular values and pseudo-inverse of a matrix. SIAM J. Numer. Anal. 2 2 (1965) 205-224
-
(1965)
SIAM J. Numer. Anal.
, vol.2
, Issue.2
, pp. 205-224
-
-
Golub, G.1
Kahan, W.2
-
5
-
-
2942514399
-
Orthogonal eigenvectors and relative gaps
-
Dhillon I., and Parlett B. Orthogonal eigenvectors and relative gaps. SIAM J. Matrix Anal. Appl. 25 3 (2004) 858-899
-
(2004)
SIAM J. Matrix Anal. Appl.
, vol.25
, Issue.3
, pp. 858-899
-
-
Dhillon, I.1
Parlett, B.2
-
6
-
-
0031536846
-
On computing an eigenvector of a tridiagonal matrix. Part 1: basic results
-
Fernando K. On computing an eigenvector of a tridiagonal matrix. Part 1: basic results. SIAM J. Matrix Anal. Appl. 18 4 (1997) 1013-1034
-
(1997)
SIAM J. Matrix Anal. Appl.
, vol.18
, Issue.4
, pp. 1013-1034
-
-
Fernando, K.1
-
7
-
-
0039504477
-
Fernando's solution to Wilkinson's problem: an application of double factorization
-
Parlett B., and Dhillon I. Fernando's solution to Wilkinson's problem: an application of double factorization. Linear Algebra Appl. 267 (1997) 247-279
-
(1997)
Linear Algebra Appl.
, vol.267
, pp. 247-279
-
-
Parlett, B.1
Dhillon, I.2
-
8
-
-
33847209508
-
Accurate twisted factorization of real symmetric tridiagonal matrices and its application to singular value decomposition
-
Iwasaki M., Sakano S., and Nakamura Y. Accurate twisted factorization of real symmetric tridiagonal matrices and its application to singular value decomposition. Trans. Jpn. Soc. Ind. Appl. Math. 15 3 (2005) 461-481
-
(2005)
Trans. Jpn. Soc. Ind. Appl. Math.
, vol.15
, Issue.3
, pp. 461-481
-
-
Iwasaki, M.1
Sakano, S.2
Nakamura, Y.3
-
9
-
-
33847242875
-
An evaluation of singular value computation by the discrete Lotka-Volterra system
-
M. Takata, M. Iwasaki, K. Kimura, Y. Nakamura, An evaluation of singular value computation by the discrete Lotka-Volterra system, in: Proceedings of the International Conference on Parallel and Distributed Processing Techniques and Applications, vol. 2, 2005, pp. 410-416.
-
(2005)
Proceedings of the International Conference on Parallel and Distributed Processing Techniques and Applications
, vol.2
, pp. 410-416
-
-
Takata, M.1
Iwasaki, M.2
Kimura, K.3
Nakamura, Y.4
-
10
-
-
33846029527
-
Accurate computation of singular values in terms of the shifted integrable schemes
-
Iwasaki M., and Nakamura Y. Accurate computation of singular values in terms of the shifted integrable schemes. Jpn. J. Ind. Appl. Math. 23 (2006) 239-259
-
(2006)
Jpn. J. Ind. Appl. Math.
, vol.23
, pp. 239-259
-
-
Iwasaki, M.1
Nakamura, Y.2
-
11
-
-
33847213934
-
A new singular value decomposition algorithm suited to parallelization and preliminary results
-
T. Konda, M. Takata, M. Iwasaki, Y. Nakamura, A new singular value decomposition algorithm suited to parallelization and preliminary results, in: Proceedings of the IASTED International Conference on Advances in Computer Science and Technology, 2006, pp. 79-84.
-
(2006)
Proceedings of the IASTED International Conference on Advances in Computer Science and Technology
, pp. 79-84
-
-
Konda, T.1
Takata, M.2
Iwasaki, M.3
Nakamura, Y.4
-
12
-
-
33144474872
-
A parallel eigensolver for dense symmetric matrices based on multiple relatively robust representations
-
Bientinesi P., Dhillon I., and Geijin R. A parallel eigensolver for dense symmetric matrices based on multiple relatively robust representations. SIAM J. Sci. Comput. 27 1 (2005) 43-66
-
(2005)
SIAM J. Sci. Comput.
, vol.27
, Issue.1
, pp. 43-66
-
-
Bientinesi, P.1
Dhillon, I.2
Geijin, R.3
-
13
-
-
0000659575
-
A divide and conquer method for the symmetric tridiagonal eigenproblem
-
Cuppen J. A divide and conquer method for the symmetric tridiagonal eigenproblem. Numer. Math. 36 (1981) 177-195
-
(1981)
Numer. Math.
, vol.36
, pp. 177-195
-
-
Cuppen, J.1
-
14
-
-
21844525426
-
A stable and efficient algorithm for the rank-1 modification of the symmetric eigenproblem
-
Gu M., and Eisenstat S. A stable and efficient algorithm for the rank-1 modification of the symmetric eigenproblem. SIAM J. Matrix Anal. Appl. 15 4 (1994) 1266-1276
-
(1994)
SIAM J. Matrix Anal. Appl.
, vol.15
, Issue.4
, pp. 1266-1276
-
-
Gu, M.1
Eisenstat, S.2
-
15
-
-
21844526695
-
A divide-and-conquer algorithm for the symmetric tridiagonal eigenproblem
-
Gu M., and Eisenstat S. A divide-and-conquer algorithm for the symmetric tridiagonal eigenproblem. SIAM J. Matrix Anal. Appl. 16 1 (1995) 172-191
-
(1995)
SIAM J. Matrix Anal. Appl.
, vol.16
, Issue.1
, pp. 172-191
-
-
Gu, M.1
Eisenstat, S.2
-
16
-
-
21344498628
-
A parallel algorithm for computing the singular value decomposition of a matrix
-
Jessup E., and Sorensen D. A parallel algorithm for computing the singular value decomposition of a matrix. SIAM J. Matrix Anal. Appl. 15 2 (1994) 530-548
-
(1994)
SIAM J. Matrix Anal. Appl.
, vol.15
, Issue.2
, pp. 530-548
-
-
Jessup, E.1
Sorensen, D.2
-
17
-
-
1542533583
-
A divide-and-conquer algorithm for the bidiagonal svd
-
Gu M., and Eisenstat S. A divide-and-conquer algorithm for the bidiagonal svd. SIAM J. Matrix Anal. Appl. 16 1 (1995) 79-92
-
(1995)
SIAM J. Matrix Anal. Appl.
, vol.16
, Issue.1
, pp. 79-92
-
-
Gu, M.1
Eisenstat, S.2
-
18
-
-
67349163663
-
Verification of dlvv transformation for singular vector computation with high accuracy
-
M. Takata, T. Konda, K. Kimura, Y. Nakamura, Verification of dlvv transformation for singular vector computation with high accuracy, in: Proceedings of International Conference on Parallel and Distributed Processing Techniques and Applications (PDPTA'06), 2006, pp. 881-887.
-
(2006)
Proceedings of International Conference on Parallel and Distributed Processing Techniques and Applications (PDPTA'06)
, pp. 881-887
-
-
Takata, M.1
Konda, T.2
Kimura, K.3
Nakamura, Y.4
-
19
-
-
67349173599
-
-
Kyoto University
-
Y. Nakamura, M. Iwasaki, K. Kimura, M. Takata, Recent developments of the mdLVs algorithm for singular values and the I-SVD algorithm for singular value decomposition, Fast Algorithms in Computational Fluids: Theory and Applications, RIMS Kyokuroku, Kyoto University, vol. 1606, 2008, pp. 87-104.
-
(2008)
Recent developments of the mdLVs algorithm for singular values and the I-SVD algorithm for singular value decomposition, Fast Algorithms in Computational Fluids: Theory and Applications, RIMS Kyokuroku
, vol.1606
, pp. 87-104
-
-
Nakamura, Y.1
Iwasaki, M.2
Kimura, K.3
Takata, M.4
-
20
-
-
0346498507
-
The calculation of specified eigenvectors by inverse iteration, contribution II/18
-
Springer-Verlag, Berlin
-
Peters G., and Wilkinson J.H. The calculation of specified eigenvectors by inverse iteration, contribution II/18. Handbook for Automatic Computation vol. 2 (1971), Springer-Verlag, Berlin
-
(1971)
Handbook for Automatic Computation
, vol.2
-
-
Peters, G.1
Wilkinson, J.H.2
-
21
-
-
0001192187
-
Accurate singular values of bidiagonal matrices
-
Demmel J., and Kahan W. Accurate singular values of bidiagonal matrices. SIAM J. Sci. Statist. Computing 11 5 (1990) 873-912
-
(1990)
SIAM J. Sci. Statist. Computing
, vol.11
, Issue.5
, pp. 873-912
-
-
Demmel, J.1
Kahan, W.2
-
23
-
-
67349199577
-
Improvement of computation of left singular vectors by the I-SVD algorithm for singular value decomposition
-
Katayama M., Kimura K., Takata M., Tsuboi H., Iwasaki M., and Nakamura Y. Improvement of computation of left singular vectors by the I-SVD algorithm for singular value decomposition. Trans. Jpn. Soc. Indt. Appl. Math. 18 3 (2008) 389-407
-
(2008)
Trans. Jpn. Soc. Indt. Appl. Math.
, vol.18
, Issue.3
, pp. 389-407
-
-
Katayama, M.1
Kimura, K.2
Takata, M.3
Tsuboi, H.4
Iwasaki, M.5
Nakamura, Y.6
-
24
-
-
0003706460
-
-
SIAM, Philadelphia
-
Anderson E., Bischof Z., Demmel J., Dongarra J., Croz J.D., Greenbaum A., Hammarling S., McKenney A., Ostrouchov S., and Sorensen D. LAPACK User's Guide. second ed. (1995), SIAM, Philadelphia
-
(1995)
LAPACK User's Guide. second ed.
-
-
Anderson, E.1
Bischof, Z.2
Demmel, J.3
Dongarra, J.4
Croz, J.D.5
Greenbaum, A.6
Hammarling, S.7
McKenney, A.8
Ostrouchov, S.9
Sorensen, D.10
-
26
-
-
0033293693
-
A parallel divide and conquer algorithm for the symmetric eigenvalue problem on distributed memory architecutures
-
Tisseur F., and Dongarra J. A parallel divide and conquer algorithm for the symmetric eigenvalue problem on distributed memory architecutures. SIAM J. Sci. Comput. 20 6 (1999) 2223-2236
-
(1999)
SIAM J. Sci. Comput.
, vol.20
, Issue.6
, pp. 2223-2236
-
-
Tisseur, F.1
Dongarra, J.2
|