-
1
-
-
0003706460
-
-
3rd edn., SIAM, Philadelphia, PA
-
E. Anderson, Z. Bai, C. H. Bischof, S. Blackford, J. W. Demmel, J. J. Dongarra, J. Du Croz, A. Greenbaum, S. Hammarling, A. McKenney, and D. C. Sorensen, LAPACK Users' Guide, 3rd edn., SIAM, Philadelphia, PA, 1999.
-
(1999)
LAPACK Users' Guide
-
-
Anderson, E.1
Bai, Z.2
Bischof, C.H.3
Blackford, S.4
Demmel, J.W.5
Dongarra, J.J.6
Du Croz, J.7
Greenbaum, A.8
Hammarling, S.9
McKenney, A.10
Sorensen, D.C.11
-
2
-
-
0039699635
-
A framework for symmetric band reduction
-
C. H. Bischof, B. Lang, and X. Sun, A framework for symmetric band reduction, ACM Trans. Math. Softw., 26 (2000), pp. 581-601.
-
(2000)
ACM Trans. Math. Softw
, vol.26
, pp. 581-601
-
-
Bischof, C.H.1
Lang, B.2
Sun, X.3
-
3
-
-
0001951009
-
The WY representation for products of Householder matrices
-
C. H. Bischof and C. F. Van Loan, The WY representation for products of Householder matrices, SIAM J. Sci. Stat. Comput., 8 (1987), pp. S2-S13.
-
(1987)
SIAM J. Sci. Stat. Comput
, vol.8
-
-
Bischof, C.H.1
van Loan, C.F.2
-
4
-
-
0036401631
-
The multishift QR algorithm. I. Maintaining wellfocused shifts and level 3 performance
-
K. Braman, R. Byers, and R. Mathias, The multishift QR algorithm. I. Maintaining wellfocused shifts and level 3 performance, SIAM J. Matrix Anal. Appl., 23 (2002), pp. 929-947.
-
(2002)
SIAM J. Matrix Anal. Appl
, vol.23
-
-
Braman, K.1
Byers, R.2
Mathias, R.3
-
5
-
-
0001023112
-
Parallel QR decomposition of a rectangular matrix
-
M. Cosnard, J.-M. Muller, and Y. Robert, Parallel QR decomposition of a rectangular matrix, Numer. Math., 48 (1986), pp. 239-249.
-
(1986)
Numer. Math
, vol.48
, pp. 239-249
-
-
Cosnard, M.1
Muller, J.-M.2
Robert, Y.3
-
6
-
-
0010976738
-
Blocked algorithms and software for reduction of a regular matrix pair to generalized Schur form
-
K. Dackland and B. Kågström, Blocked algorithms and software for reduction of a regular matrix pair to generalized Schur form, ACM Trans. Math. Softw., 25 (1999), pp. 425-454.
-
(1999)
ACM Trans. Math. Softw
, vol.25
, pp. 425-454
-
-
Dackland, K.1
Kågström, B.2
-
7
-
-
0000257176
-
Block reduction of matrices to condensed forms for eigenvalue computations
-
(Reprinted in Parallel Algorithms for Numerical Linear Algebra, North-Holland, Amsterdam, 1990, pp. 215-227)
-
J. J. Dongarra, D. C. Sorensen, and S. J. Hammarling, Block reduction of matrices to condensed forms for eigenvalue computations, J. Comput. Appl. Math., 27 (1989), pp. 215-227. (Reprinted in Parallel Algorithms for Numerical Linear Algebra, North-Holland, Amsterdam, 1990, pp. 215-227)
-
(1989)
J. Comput. Appl. Math
, vol.27
, pp. 215-227
-
-
Dongarra, J.J.1
Sorensen, D.C.2
Hammarling, S.J.3
-
8
-
-
0004236492
-
-
3rd edn., Johns Hopkins University Press, Baltimore, MD
-
G. H. Golub and C. F. Van Loan, Matrix Computations, 3rd edn., Johns Hopkins University Press, Baltimore, MD, 1996.
-
(1996)
Matrix Computations
-
-
Golub, G.H.1
van Loan, C.F.2
-
9
-
-
48849089104
-
High-performance implementation of the level-3 BLAS
-
K. Goto and R. van de Geijn, High-performance implementation of the level-3 BLAS, ACM Trans. Math. Softw., 35 (2008).
-
(2008)
ACM Trans. Math. Softw
, pp. 35
-
-
Goto, K.1
van de Geijn, R.2
-
10
-
-
0032155271
-
GEMM-based level 3 BLAS: Algorithms for the model implementations
-
B. Kågström, P. Ling, and C. F. Van Loan, GEMM-based level 3 BLAS: Algorithms for the model implementations, ACM Trans. Math. Softw., 24 (1999), pp. 268-302.
-
(1999)
ACM Trans. Math. Softw
, vol.24
, pp. 268-302
-
-
Kagström, B.1
Ling, P.2
van Loan, C.F.3
-
11
-
-
0032155342
-
GEMM-based level 3 BLAS: High-performance model implementations and performance evaluation benchmark
-
B. Kagström, P. Ling, and C. F. Van Loan, GEMM-based level 3 BLAS: High-performance model implementations and performance evaluation benchmark, ACM Trans. Math. Softw., 24 (1999), pp. 303-316.
-
(1999)
ACM Trans. Math. Softw
, vol.24
, pp. 303-316
-
-
Kagström, B.1
Ling, P.2
van Loan, C.F.3
-
12
-
-
38049095339
-
Multishift variants of the QZ algorithm with aggressive early deflation
-
(Also appeared as LAPACK working note 173.)
-
B. Kågström and D. Kressner, Multishift variants of the QZ algorithm with aggressive early deflation, SIAM J. Matrix Anal. Appl., 29 (2006), pp. 199-227. (Also appeared as LAPACK working note 173.)
-
(2006)
SIAM J. Matrix Anal. Appl
, vol.29
, pp. 199-227
-
-
Kågström, B.1
Kressner, D.2
-
13
-
-
17544378081
-
-
PhD thesis, TU Berlin, Institut für Mathematik, Berlin, Germany
-
D. Kressner, Numerical Methods and Software for General and Structured Eigenvalue Problems, PhD thesis, TU Berlin, Institut für Mathematik, Berlin, Germany, 2004.
-
(2004)
Numerical Methods and Software For General and Structured Eigenvalue Problems
-
-
Kressner, D.1
-
15
-
-
0011040261
-
Using level 3 BLAS in rotation-based algorithms
-
B. Lang, Using level 3 BLAS in rotation-based algorithms, SIAM J. Sci. Comput., 19 (1998), pp. 626-634.
-
(1998)
SIAM J. Sci. Comput
, vol.19
, pp. 626-634
-
-
Lang, B.1
-
16
-
-
0023172663
-
On a modification of the QZ algorithm with fast Givens rotations
-
H. P. Märchy, On a modification of the QZ algorithm with fast Givens rotations, Computing, 38 (1987), pp. 247-259.
-
(1987)
Computing
, vol.38
, pp. 247-259
-
-
Märchy, H.P.1
-
17
-
-
0003164343
-
An alternative Givens ordering
-
J. J. Modi and M. R. B. Clarke, An alternative Givens ordering, Numer. Math., 43 (1984), pp. 83-90.
-
(1984)
Numer. Math
, vol.43
, pp. 83-90
-
-
Modi, J.J.1
Clarke, M.R.B.2
-
18
-
-
0000356673
-
An algorithm for generalized matrix eigenvalue problems
-
C. B. Moler and G. W. Stewart, An algorithm for generalized matrix eigenvalue problems, SIAM J. Numer. Anal., 10 (1973), pp. 241-256.
-
(1973)
SIAM J. Numer. Anal
, vol.10
, pp. 241-256
-
-
Moler, C.B.1
Stewart, G.W.2
-
19
-
-
33746058651
-
Improving the performance of reduction to Hessenberg form
-
G. Quintana-Ortí and R. A. van de Geijn, Improving the performance of reduction to Hessenberg form, ACM Trans. Math. Softw., 32 (2006), pp. 180-194.
-
(2006)
ACM Trans. Math. Softw
, vol.32
, pp. 180-194
-
-
Quintana-Ortí, G.1
van de Geijn, R.A.2
-
20
-
-
0039715520
-
On Jacobi rotation patterns
-
Amer. Math. Soc., Providence, R.I
-
H. Rutishauser, On Jacobi rotation patterns, in Proc. Sympos. Appl. Math., vol. XV, pp. 219-239, Amer. Math. Soc., Providence, R.I., 1963.
-
(1963)
Proc. Sympos. Appl. Math
, vol.15
, pp. 219-239
-
-
Rutishauser, H.1
-
21
-
-
0003078924
-
A storage-efficient WY representation for products of Householder transformations
-
R. Schreiber and C. F. Van Loan, A storage-efficient WY representation for products of Householder transformations, SIAM J. Sci. Stat. Comput., 10 (1989), pp. 53-57.
-
(1989)
SIAM J. Sci. Stat. Comput
, vol.10
, pp. 53-57
-
-
Schreiber, R.1
van Loan, C.F.2
-
22
-
-
84871270722
-
Die Reduktion einer symmetrischen Bandmatrix auf tridiagonale Form
-
H.-R. Schwarz, Die Reduktion einer symmetrischen Bandmatrix auf tridiagonale Form, Z. Angew. Math. Mech., 45 (1965), pp. T75-T77.
-
(1965)
Z. Angew. Math. Mech
, vol.45
-
-
Schwarz, H.-R.1
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