-
1
-
-
0003706460
-
-
SIAM, Philadelphia, PA
-
ANDERSON, E., BAI, Z., BISCHOF, C., BLACKFORD, S., DEMMEL, J., DONGARRA, J., CROZ, J. D., GREENBAUM, A., HAMMARLING, S., MCKENNEY, A., AND SORENSEN, D. 1999. LAPACK User's Guide, 3rd. ed. SIAM, Philadelphia, PA.
-
(1999)
LAPACK User's Guide, 3rd. Ed.
-
-
Anderson, E.1
Bai, Z.2
Bischof, C.3
Blackford, S.4
Demmel, J.5
Dongarra, J.6
Croz, J.D.7
Greenbaum, A.8
Hammarling, S.9
Mckenney, A.10
Sorensen, D.11
-
4
-
-
0025445384
-
Computing accurate eigensystems of scaled diagonally dominant matrices
-
BARLOW, J. AND DEMMEL, J. 1990. Computing accurate eigensystems of scaled diagonally dominant matrices. SIAM J. Numer. Anal. 27, 3, 762-791.
-
(1990)
SIAM J. Numer. Anal.
, vol.27
, Issue.3
, pp. 762-791
-
-
Barlow, J.1
Demmel, J.2
-
5
-
-
33144474872
-
A parallel eigensolver for dense symmetric matrices based on multiple relatively robust representations
-
BIENTINESI, P., DHILLON, I. S., AND VAN DE GEIJN, R. A. 2005. A parallel eigensolver for dense symmetric matrices based on multiple relatively robust representations. SIAM J. Sci. Comput. 27, 1, 43-66.
-
(2005)
SIAM J. Sci. Comput.
, vol.27
, Issue.1
, pp. 43-66
-
-
Bientinesi, P.1
Dhillon, I.S.2
Van De Geijn, R.A.3
-
6
-
-
19044386208
-
An updated set of basic linear algebra subprograms (BLAS)
-
BLACKFORD, L. S., DEMMEL, J., DONGARRA, J. J., DUFF, I. S., HAMMARLING, S., HENRY, G., HEROUX, M., KAUFMAN, L., LUMSDAINE, A., PETITET, A., POZO, R., REMINGTON, K., AND WHALEY, R. C. 2002. An updated set of basic linear algebra subprograms (BLAS). ACM Trans. Math. Softw. 28, 2, 135-151.
-
(2002)
ACM Trans. Math. Softw.
, vol.28
, Issue.2
, pp. 135-151
-
-
Blackford, L.S.1
Demmel, J.2
Dongarra, J.J.3
Duff, I.S.4
Hammarling, S.5
Henry, G.6
Heroux, M.7
Kaufman, L.8
Lumsdaine, A.9
Petitet, A.10
Pozo, R.11
Remington, K.12
Whaley, R.C.13
-
7
-
-
0002316189
-
Rank-One modification of the symmetric eigen-problem
-
BUNCH, J., NIELSEN, P., AND SORENSEN, D. 1978. Rank-One modification of the symmetric eigen-problem. Numer. Math. 31, 31-48.
-
(1978)
Numer. Math.
, vol.31
, pp. 31-48
-
-
Bunch, J.1
Nielsen, P.2
Sorensen, D.3
-
8
-
-
0030564728
-
ScaLAPACK: A portable linear algebra library for distributed memory computers - Design issues and performance
-
CHOI, J., DEMMEL, J., DHILLON, I., DONGARRA, J., OSTHOUCHOV, S., PETITET, A., STANLEY, K., WALKER, D., AND WHALEY, R. C. 1996. ScaLAPACK: A portable linear algebra library for distributed memory computers - Design issues and performance. Comput. Phys. Commun. 97, 1-15.
-
(1996)
Comput. Phys. Commun.
, vol.97
, pp. 1-15
-
-
Choi, J.1
Demmel, J.2
Dhillon, I.3
Dongarra, J.4
Osthouchov, S.5
Petitet, A.6
Stanley, K.7
Walker, D.8
Whaley, R.C.9
-
9
-
-
0003978709
-
-
Tech. Rep. UT-CS-95-292, University of Tennessee, Knoxville, TN
-
CHOI, J., DONGARRA, J. J., OSTROUCHOV, S., PETITET, A., AND WALKER, D. 1995. A proposal for a set of parallel basic linear algebra subprograms. Tech. Rep. UT-CS-95-292, University of Tennessee, Knoxville, TN.
-
(1995)
A Proposal for a Set of Parallel Basic Linear Algebra Subprograms
-
-
Choi, J.1
Dongarra, J.J.2
Ostrouchov, S.3
Petitet, A.4
Walker, D.5
-
10
-
-
0000659575
-
A divide and conquer method for the symmetric tridiagonal eigenproblem
-
CUPPEN, J. J. M. 1981. A divide and conquer method for the symmetric tridiagonal eigenproblem. Numer. Math. 36, 177-195.
-
(1981)
Numer. Math.
, vol.36
, pp. 177-195
-
-
Cuppen, J.J.M.1
-
11
-
-
0014751986
-
The rotation of eigenvectors by a perturbation. III
-
DAVIS, C. AND KAHAN, W. 1970. The rotation of eigenvectors by a perturbation. III. SIAM J. Numer. Anal. 7, 1, 1-47.
-
(1970)
SIAM J. Numer. Anal.
, vol.7
, Issue.1
, pp. 1-47
-
-
Davis, C.1
Kahan, W.2
-
13
-
-
84860057008
-
-
University of California, Berkeley. In preparation
-
DEMMEL, J. W., DHILLON, I. S., MARQUES, O. A., PARLETT, B. N., AND VÖMEL, C. 2005. Performance and accuracy of the symmetric eigensolvers in LAPACK. University of California, Berkeley. In preparation.
-
(2005)
Performance and Accuracy of the Symmetric Eigensolvers in LAPACK
-
-
Demmel, J.W.1
Dhillon, I.S.2
Marques, O.A.3
Parlett, B.N.4
Vömel, C.5
-
14
-
-
0001015596
-
On the correctness of some bisection-like parallel eigenvalue algorithms in floating point arithmetic
-
DEMMEL, J. W., DHILLON, I. S., AND REN, H. 1995. On the correctness of some bisection-like parallel eigenvalue algorithms in floating point arithmetic. Electron. Trans. Num. Anal. 3, 116-140.
-
(1995)
Electron. Trans. Num. Anal.
, vol.3
, pp. 116-140
-
-
Demmel, J.W.1
Dhillon, I.S.2
Ren, H.3
-
15
-
-
0001192187
-
Accurate singular values of bidiagonal matrices
-
DEMMEL, J. W. AND KAHAN, W. 1990. Accurate singular values of bidiagonal matrices. SIAM J. Sci. Stat. Comput. 11, 5, 873-912.
-
(1990)
SIAM J. Sci. Stat. Comput.
, vol.11
, Issue.5
, pp. 873-912
-
-
Demmel, J.W.1
Kahan, W.2
-
16
-
-
0028483911
-
Faster numerical algorithms via exception handling
-
DEMMEL, J. W. AND LI, X. S. 1994. Faster numerical algorithms via exception handling. IEEE Trans. Comp. 48, 8, 983-992.
-
(1994)
IEEE Trans. Comp.
, vol.48
, Issue.8
, pp. 983-992
-
-
Demmel, J.W.1
Li, X.S.2
-
18
-
-
2942522546
-
Multiple representations to compute orthogonal eigenvectors of symmetric tridiagonal matrices
-
DHILLON, I. S. AND PARLETT, B. N. 2004b. Multiple representations to compute orthogonal eigenvectors of symmetric tridiagonal matrices. Linear Algebra Appl. 387, 1-28.
-
(2004)
Linear Algebra Appl.
, vol.387
, pp. 1-28
-
-
Dhillon, I.S.1
Parlett, B.N.2
-
19
-
-
2942514399
-
Orthogonal eigenvectors and relative gaps
-
DHILLON, I. S. AND PARLETT, B. N. 2004b. Orthogonal eigenvectors and relative gaps. SIAM J. Matrix Anal. Appl. 25, 3, 858-899.
-
(2004)
SIAM J. Matrix Anal. Appl.
, vol.25
, Issue.3
, pp. 858-899
-
-
Dhillon, I.S.1
Parlett, B.N.2
-
20
-
-
33644959825
-
Glued matrices and the MRRR algorithm
-
DHILLON, I. S., PARLETT, B. N., AND VÖMEL, C. 2005. Glued matrices and the MRRR algorithm. SIAM J. Sci. Comput. 27, 2, 496-510.
-
(2005)
SIAM J. Sci. Comput.
, vol.27
, Issue.2
, pp. 496-510
-
-
Dhillon, I.S.1
Parlett, B.N.2
Vömel, C.3
-
21
-
-
0012493293
-
-
Tech. Rep. UT-CS-95-281, University of Tennessee, Knoxville, TN, USA
-
DONGARRA, J. AND WHALEY, R. C. 1995. A User's Guide to the BLACS v1.1. Tech. Rep. UT-CS-95-281, University of Tennessee, Knoxville, TN, USA.
-
(1995)
A User's Guide to the BLACS V1.1
-
-
Dongarra, J.1
Whaley, R.C.2
-
22
-
-
0025402476
-
A set of level 3 basic linear algebra subprograms
-
DONGARRA, J. J., DU CROZ, J., DUFF, I. S., AND HAMMARLING, S. 1990. A set of level 3 basic linear algebra subprograms. ACM Trans. Math. Softw. 16, 1-17.
-
(1990)
ACM Trans. Math. Softw.
, vol.16
, pp. 1-17
-
-
Dongarra, J.J.1
Du Croz, J.2
Duff, I.S.3
Hammarling, S.4
-
23
-
-
0003851784
-
-
SIAM Press, Philadelphia, PA
-
DONGARRA, J. J., DUFF, I. S., SORENSEN, D. C., AND VAN DER VORST, H. A. 1998. Numerical Linear Algebra for High-Performance Computers. SIAM Press, Philadelphia, PA.
-
(1998)
Numerical Linear Algebra for High-performance Computers
-
-
Dongarra, J.J.1
Duff, I.S.2
Sorensen, D.C.3
Van Der Vorst, H.A.4
-
24
-
-
0004060334
-
-
Tech. Rep. UT-CS-91-138, University of Tennessee, Knoxville, TN, USA
-
DONGARRA, J. J. AND VAN DE GEIJN, R. A. 1991. Lapack working note 37: Two dimensional basic linear algebra communication subprograms. Tech. Rep. UT-CS-91-138, University of Tennessee, Knoxville, TN, USA.
-
(1991)
Lapack Working Note 37: Two Dimensional Basic Linear Algebra Communication Subprograms
-
-
Dongarra, J.J.1
Van De Geijn, R.A.2
-
25
-
-
21344496407
-
Accurate singular values and differential qd algorithms
-
FERNANDO, K. V. AND PARLETT, B. N. 1994. Accurate singular values and differential qd algorithms. Numeri. Math. 67, 191-229.
-
(1994)
Numeri. Math.
, vol.67
, pp. 191-229
-
-
Fernando, K.V.1
Parlett, B.N.2
-
26
-
-
21844526695
-
A divide-and-conquer algorithm for the symmetric tridiagonal eigenproblem
-
GU, M. AND EISENSTAT, S. C. 1995. A divide-and-conquer algorithm for the symmetric tridiagonal eigenproblem. SIAM J. Matrix Anal. Appl. 16, 1, 172-191.
-
(1995)
SIAM J. Matrix Anal. Appl.
, vol.16
, Issue.1
, pp. 172-191
-
-
Gu, M.1
Eisenstat, S.C.2
-
27
-
-
0031166040
-
Computing an eigenvector with inverse iteration
-
IPSEN, I. C. F. 1997. Computing an eigenvector with inverse iteration. SIAM Rev. 39, 2, 254-291.
-
(1997)
SIAM Rev.
, vol.39
, Issue.2
, pp. 254-291
-
-
Ipsen, I.C.F.1
-
28
-
-
33749352838
-
-
Tech. Rep. UCBCSD-05-1392, University of California, Berkeley, Calfornia, USA
-
MARQUES, O. A., PARLETT, B. N., AND VÖMEL, C. 2005. LAPACK working note 167: Subset computations with the MRRR algorithm. Tech. Rep. UCBCSD-05-1392, University of California, Berkeley, Calfornia, USA.
-
(2005)
LAPACK Working Note 167: Subset Computations with the MRRR Algorithm
-
-
Marques, O.A.1
Parlett, B.N.2
Vömel, C.3
-
29
-
-
33845534558
-
-
Tech. Rep. UCBCSD-05-1414, University of California, Berkeley, California, USA
-
MARQUES, O. A., RIEDY, E. J., AND VÖMEL, C. 2005. Lapack working note 172: Benefits of IEEE-754 features in modern symmetric tridiagonal eigensolvers. Tech. Rep. UCBCSD-05-1414, University of California, Berkeley, California, USA.
-
(2005)
Lapack Working Note 172: Benefits of IEEE-754 Features in Modern Symmetric Tridiagonal Eigensolvers
-
-
Marques, O.A.1
Riedy, E.J.2
Vömel, C.3
-
31
-
-
33845530726
-
-
Cambridge University Press, Cambridge, UK
-
PARLETT, B. N. 1995. Acta Numerica. Cambridge University Press, Cambridge, UK. 459-491.
-
(1995)
Acta Numerica
, pp. 459-491
-
-
Parlett, B.N.1
-
34
-
-
26044479495
-
Perturbation of eigenpairs of factored symmetric tridiagonal matrices
-
PARLETT, B. N. 2003. Perturbation of eigenpairs of factored symmetric tridiagonal matrices. Found. Comput. Math. 3, 2, 207-223.
-
(2003)
Found. Comput. Math.
, vol.3
, Issue.2
, pp. 207-223
-
-
Parlett, B.N.1
-
35
-
-
27144543771
-
A bidiagonal matrix determines its hyperbolic SVD to varied relative accuracy
-
PARLETT, B. N. 2005. A bidiagonal matrix determines its hyperbolic SVD to varied relative accuracy. SIAM J. Matrix Anal. Appl. 26, 4, 1022-1057.
-
(2005)
SIAM J. Matrix Anal. Appl.
, vol.26
, Issue.4
, pp. 1022-1057
-
-
Parlett, B.N.1
-
36
-
-
0039504477
-
Fernando's solution to Wilkinson's problem: An application of double factorization
-
PARLETT, B. N. AND DHILLON, I. S. 1997. Fernando's solution to Wilkinson's problem: An application of double factorization. Linear Algebra Appl. 267, 247-279.
-
(1997)
Linear Algebra Appl.
, vol.267
, pp. 247-279
-
-
Parlett, B.N.1
Dhillon, I.S.2
-
37
-
-
0034421232
-
Relatively robust representations of symmetric tridiagonals
-
PARLETT, B. N. AND DHILLON, I. S. 2000a. Relatively robust representations of symmetric tridiagonals. Linear Algebra Appl. 309, 1-3, 121-151.
-
(2000)
Linear Algebra Appl.
, vol.309
, Issue.1-3
, pp. 121-151
-
-
Parlett, B.N.1
Dhillon, I.S.2
-
38
-
-
0034379502
-
An implementation of the dqds algorithm (positive case)
-
PARLETT, B. N. AND MARQUES, O. 2000. An implementation of the dqds algorithm (positive case). Linear Algebra and Appl. 309, 217-259.
-
(2000)
Linear Algebra and Appl.
, vol.309
, pp. 217-259
-
-
Parlett, B.N.1
Marques, O.2
-
39
-
-
0010843126
-
Der quotienten-differenzen-algorithmus
-
RUTISHAUSER, H. 1954. Der quotienten-differenzen-algorithmus. Z. Angew. Math. Phys. 5, 233-251.
-
(1954)
Z. Angew. Math. Phys.
, vol.5
, pp. 233-251
-
-
Rutishauser, H.1
-
41
-
-
0003710740
-
-
MIT Press, Cambridge, MA
-
SNIR, M., OTTO, S., HUSS-LEDERMAN, S., WALKER, D., AND DONGARRA, J. J. 1996. MPI: The Complete Reference. MIT Press, Cambridge, MA.
-
(1996)
MPI: The Complete Reference
-
-
Snir, M.1
Otto, S.2
Huss-Lederman, S.3
Walker, D.4
Dongarra, J.J.5
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