-
1
-
-
0004245694
-
-
9th Ed. Dover, New York, NY
-
ABRAMOWITZ, M. AND STEGUN, I. A. 1965. Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables 9th Ed. Dover, New York, NY.
-
(1965)
Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables
-
-
ABRAMOWITZ, M.1
STEGUN, I.A.2
-
2
-
-
0003706460
-
-
3rd Ed. 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
-
-
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
-
-
48849106949
-
-
APRA, E. ET AL. 2005. NWChem, a computational chemistry package for parallel computers, version 4.7. Tech. rep, Pacific Northwest National Laboratory, Richland, WA
-
APRA, E. ET AL. 2005. NWChem, a computational chemistry package for parallel computers, version 4.7. Tech. rep., Pacific Northwest National Laboratory, Richland, WA.
-
-
-
-
5
-
-
48849086336
-
-
BAI, Z., DAY, D., DEMMEL, J. W., AND DONGARRA, J. J. 1997. A test matrix collection for non-Hermitian eigenvalue problems. Tech. rep. UT-CS-97-355, University of Tennessee, Knoxville, TN.
-
BAI, Z., DAY, D., DEMMEL, J. W., AND DONGARRA, J. J. 1997. A test matrix collection for non-Hermitian eigenvalue problems. Tech. rep. UT-CS-97-355, University of Tennessee, Knoxville, TN.
-
-
-
-
6
-
-
48849109467
-
-
BAI, Z., DEMMEL, J., DONGARRA, J., RUHE, A., AND VAN DER VORST, H. 2000. Templates for the Solution of Algebraic Eigenvalue Problems - A practical guide. SIAM, Philadelphia, PA.
-
BAI, Z., DEMMEL, J., DONGARRA, J., RUHE, A., AND VAN DER VORST, H. 2000. Templates for the Solution of Algebraic Eigenvalue Problems - A practical guide. SIAM, Philadelphia, PA.
-
-
-
-
7
-
-
0034268943
-
A portable programming interface for performance evaluation on modern processors
-
BROWNE, S., DONGARRA, J., GARNER, N., HO, G., AND MUCCI, P. 2000. A portable programming interface for performance evaluation on modern processors. Int. J. High Perf. Comput. Appl. 14, 3, 189-204.
-
(2000)
Int. J. High Perf. Comput. Appl
, vol.14
, Issue.3
, pp. 189-204
-
-
BROWNE, S.1
DONGARRA, J.2
GARNER, N.3
HO, G.4
MUCCI, P.5
-
8
-
-
0002316189
-
Rank-one modification of the symmetric eigenproblem
-
BUNCH, J., NIELSEN, P., AND SORENSEN, D. 1978. Rank-one modification of the symmetric eigenproblem. Numer. Math. 31, 31-48.
-
(1978)
Numer. Math
, vol.31
, pp. 31-48
-
-
BUNCH, J.1
NIELSEN, P.2
SORENSEN, D.3
-
9
-
-
27844489401
-
A class of triple-diagonal matrices for test purposes
-
CLEMENT, P. A. 1959. A class of triple-diagonal matrices for test purposes. SIAM Rev. 1, 50-52.
-
(1959)
SIAM Rev
, vol.1
, pp. 50-52
-
-
CLEMENT, P.A.1
-
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
-
-
48849116941
-
-
DAVIS, T. A. 1994-2007. University of Florida Sparse Matrix Collection. NA Digest 92, 42; NA Digest 96, 28; NA Digest 97, 23.
-
DAVIS, T. A. 1994-2007. University of Florida Sparse Matrix Collection. NA Digest 92, 42; NA Digest 96, 28; NA Digest 97, 23.
-
-
-
-
13
-
-
48849098121
-
Lapack working note 183: Performance and accuracy of LAPACK's symmetric tridiagonal eigensolvers
-
Tech. rep, University of California, Berkeley
-
DEMMEL, J. W., MARQUES, O. A., PARLETT, B. N., AND VÖMEL, C. 2006. Lapack working note 183: Performance and accuracy of LAPACK's symmetric tridiagonal eigensolvers. Tech. rep., University of California, Berkeley.
-
(2006)
-
-
DEMMEL, J.W.1
MARQUES, O.A.2
PARLETT, B.N.3
VÖMEL, C.4
-
16
-
-
0348229160
-
Current inverse iteration software can fail
-
DHILLON, I. S. 1998. Current inverse iteration software can fail. BIT 38:4, 685-704.
-
(1998)
BIT
, vol.38
, Issue.4
, pp. 685-704
-
-
DHILLON, I.S.1
-
17
-
-
0343344800
-
Application of a new algorithm for the symmetric eigenproblem to computational quantum chemistry
-
SIAM, Philadelphia, PA
-
DHILLON, I. S., FANN, G., AND PARLETT, B. N. 1997. Application of a new algorithm for the symmetric eigenproblem to computational quantum chemistry. In Proceedings of the 8th SIAM Conference on Parallel Processing for Scientific Computing. SIAM, Philadelphia, PA.
-
(1997)
Proceedings of the 8th SIAM Conference on Parallel Processing for Scientific Computing
-
-
DHILLON, I.S.1
FANN, G.2
PARLETT, B.N.3
-
18
-
-
2942522546
-
Multiple representations to compute orthogonal eigenvectors of symmetric tridiagonal matrices
-
DHILLON, I. S. AND PARLETT, B. N. 2004a. 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 Analy. Appl. 25, 3, 858-899.
-
(2004)
SIAM J. Matrix Analy. 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
-
-
33845548230
-
The design and implementation of the MRRR algorithm
-
DHILLON, I. S., PARLETT, B. N., AND VÖMEL, C. 2006. The design and implementation of the MRRR algorithm. ACM Trans. Math. Softw. 32, 4, 533-560.
-
(2006)
ACM Trans. Math. Softw
, vol.32
, Issue.4
, pp. 533-560
-
-
DHILLON, I.S.1
PARLETT, B.N.2
VÖMEL, C.3
-
22
-
-
48849106056
-
-
DONGARRA, J. J., MOORE, S., MUCCI, P., SEYMOUR, K., TERPSTRA, D., AND YOU, H. 2007. Performance Application Programming Interface (PAPI). http://icl.cs.utk.edu/ papi/.
-
(2007)
Performance Application Programming Interface (PAPI)
-
-
DONGARRA, J.J.1
MOORE, S.2
MUCCI, P.3
SEYMOUR, K.4
TERPSTRA, D.5
YOU, H.6
-
23
-
-
0024621631
-
Sparse matrix test problems
-
DUFF, I. S., GRIMES, R. G., AND LEWIS, J. G. 1989. Sparse matrix test problems. ACM Trans. Math. Softw. 15, 1-14.
-
(1989)
ACM Trans. Math. Softw
, vol.15
, pp. 1-14
-
-
DUFF, I.S.1
GRIMES, R.G.2
LEWIS, J.G.3
-
24
-
-
0004109578
-
Users' guide for the Harwell-Boeing sparse matrix collection (Release I)
-
Tech. rep. RAL-TR-92-086, Atlas Centre, Rutherford Appleton Laboratory
-
DUFF, I. S., GRIMES, R. G., AND LEWIS, J. G. 1992. Users' guide for the Harwell-Boeing sparse matrix collection (Release I). Tech. rep. RAL-TR-92-086, Atlas Centre, Rutherford Appleton Laboratory.
-
(1992)
-
-
DUFF, I.S.1
GRIMES, R.G.2
LEWIS, J.G.3
-
25
-
-
48849089042
-
-
DUFF, I. S., GRIMES, R. G., AND LEWIS, J. G. 1997. The Rutherford-Boeing sparse matrix collection. Tech. rep. RAL-TR-97-031, Atlas Centre, Rutherford Appleton Laboratory: Tech. rep. ISSTECH-97-017 from Boeing Information & Support Services; Report TR/PA/97/36 from CER-FACS, Toulouse.
-
DUFF, I. S., GRIMES, R. G., AND LEWIS, J. G. 1997. The Rutherford-Boeing sparse matrix collection. Tech. rep. RAL-TR-97-031, Atlas Centre, Rutherford Appleton Laboratory: Tech. rep. ISSTECH-97-017 from Boeing Information & Support Services; Report TR/PA/97/36 from CER-FACS, Toulouse.
-
-
-
-
26
-
-
0028388229
-
Algorithm 726: ORTHPOL - a package of routines for generating orthogonal polynomials and Gauss-type quadrature rules
-
GAUTSCHI, W. 1994. Algorithm 726: ORTHPOL - a package of routines for generating orthogonal polynomials and Gauss-type quadrature rules. ACM Trans. Math. Software 20, 1, 21-62.
-
(1994)
ACM Trans. Math. Software
, vol.20
, Issue.1
, pp. 21-62
-
-
GAUTSCHI, W.1
-
27
-
-
2942620338
-
The interplay between classical analysis and (numerical) linear algebra - a tribute to Gene H. Golub
-
GAUTSCHI, W. 2002. The interplay between classical analysis and (numerical) linear algebra - a tribute to Gene H. Golub. Electr. Trans. Num. Analy. 13, 119-147.
-
(2002)
Electr. Trans. Num. Analy. 13
, pp. 119-147
-
-
GAUTSCHI, W.1
-
29
-
-
14844341327
-
Orthogonal polynomials
-
in Matlab
-
GAUTSCHI, W. 2005. Orthogonal polynomials (in Matlab). J. Comput. Appl. Math. 178, 215-234.
-
(2005)
J. Comput. Appl. Math
, vol.178
, pp. 215-234
-
-
GAUTSCHI, W.1
-
30
-
-
0003960315
-
-
Kluwer Academic, Dordrecht, The Netherlands
-
GODUNOV, S. K., ANTONOV, A. G., KIRILJUK, O. P., AND KOSTIN, V. I. 1993. Guaranteed Accuracy in Numerical Linear Algebra. Kluwer Academic, Dordrecht, The Netherlands.
-
(1993)
Guaranteed Accuracy in Numerical Linear Algebra
-
-
GODUNOV, S.K.1
ANTONOV, A.G.2
KIRILJUK, O.P.3
KOSTIN, V.I.4
-
31
-
-
0001070999
-
Some modified matrix eigenvalue problems
-
GOLUB, G. H. 1973. Some modified matrix eigenvalue problems. SIAM Rev. 15, 318-334.
-
(1973)
SIAM Rev
, vol.15
, pp. 318-334
-
-
GOLUB, G.H.1
-
32
-
-
48849090522
-
-
GOLUB, G. H. AND VAN LOAN, C. 1996. Matrix Computations 3rd Ed. The John Hopkins University Press, Baltimore, MD.
-
GOLUB, G. H. AND VAN LOAN, C. 1996. Matrix Computations 3rd Ed. The John Hopkins University Press, Baltimore, MD.
-
-
-
-
33
-
-
0001190030
-
The numerically stable reconstruction of Jacobi spectral data
-
GRAGG, W. B. AND HARROD, W. J. 1984. The numerically stable reconstruction of Jacobi spectral data. Numer. Math. 44, 317-336.
-
(1984)
Numer. Math
, vol.44
, pp. 317-336
-
-
GRAGG, W.B.1
HARROD, W.J.2
-
35
-
-
21844525426
-
A stable and efficient algorithm for the rank-one modification of the symmetric eigenproblem
-
GU, M. AND EISENSTAT, S. C. 1994. A stable and efficient algorithm for the rank-one modification of the symmetric eigenproblem. SIAM J. Matrix Analy. Appl. 15, 4, 1266-1276.
-
(1994)
SIAM J. Matrix Analy. Appl
, vol.15
, Issue.4
, pp. 1266-1276
-
-
GU, M.1
EISENSTAT, S.C.2
-
36
-
-
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 Analy. Appl. 16, 1, 172-191.
-
(1995)
SIAM J. Matrix Analy. Appl
, vol.16
, Issue.1
, pp. 172-191
-
-
GU, M.1
EISENSTAT, S.C.2
-
37
-
-
0000173054
-
Test matrices for regularization methods
-
HANSEN, P. C. 1995. Test matrices for regularization methods. SIAM J. Sci. Comput. 16, 2, 506-512.
-
(1995)
SIAM J. Sci. Comput
, vol.16
, Issue.2
, pp. 506-512
-
-
HANSEN, P.C.1
-
38
-
-
0026212389
-
Algorithm 694: A collection of test matrices in MATLAB
-
HIGHAM, N. J. 1991. Algorithm 694: A collection of test matrices in MATLAB. ACM Trans. Math. Softw. 17, 3, 289-305.
-
(1991)
ACM Trans. Math. Softw
, vol.17
, Issue.3
, pp. 289-305
-
-
HIGHAM, N.J.1
-
39
-
-
48849097746
-
IEEE Standard for Binary Floating Point Arithmetic Revision. grouper.ieee.org/groups/754
-
IEEE 754
-
IEEE 754 2002. IEEE Standard for Binary Floating Point Arithmetic Revision. grouper.ieee.org/groups/754.
-
(2002)
-
-
-
40
-
-
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
-
41
-
-
0034625269
-
High Performance Computational Chemistry: An overview of NWChem a distributed parallel application
-
KENDALL, R. A., APRÀ, E., BEMHOLDT, D. E., ET AL. 2000. High Performance Computational Chemistry: An overview of NWChem a distributed parallel application. Comput. Phys. Comm. 128, 260-283.
-
(2000)
Comput. Phys. Comm
, vol.128
, pp. 260-283
-
-
KENDALL, R.A.1
APRÀ, E.2
BEMHOLDT, D.E.3
ET AL.4
-
42
-
-
48849093100
-
-
LEE, C. R. AND STEWART, G. W. 2006. Eigentest: A test matrix generator for large-scale eigenproblems. UMIACS TR-2006-07, CMSC TR-4783, University of Maryland, College Park, MD.
-
LEE, C. R. AND STEWART, G. W. 2006. Eigentest: A test matrix generator for large-scale eigenproblems. UMIACS TR-2006-07, CMSC TR-4783, University of Maryland, College Park, MD.
-
-
-
-
43
-
-
34648830393
-
Benefits of IEEE-754 features in modern symmetric tridiagonal eigensolvers
-
MARQUES, O. A., RIEDY, E. J., AND VÖMEL, C. 2006. Benefits of IEEE-754 features in modern symmetric tridiagonal eigensolvers. SIAM J. Sci. Comput. 28, 5, 1613-1633.
-
(2006)
SIAM J. Sci. Comput
, vol.28
, Issue.5
, pp. 1613-1633
-
-
MARQUES, O.A.1
RIEDY, E.J.2
VÖMEL, C.3
-
44
-
-
19044394689
-
The Godunov-inverse iteration: A fast and accurate solution to the symmetric tridiagonal eigenvalue problem
-
MATSEKH, A. M. 2005. The Godunov-inverse iteration: A fast and accurate solution to the symmetric tridiagonal eigenvalue problem. Appl. Numer. Math. 54, 2, 208-221.
-
(2005)
Appl. Numer. Math
, vol.54
, Issue.2
, pp. 208-221
-
-
MATSEKH, A.M.1
-
47
-
-
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
-
48
-
-
0034421232
-
Relatively robust representations of symmetric tridiagonals
-
PARLETT, B. N. AND DHILLON, I. S. 2000. 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
|