-
1
-
-
0003706460
-
-
Society for Industrial and Applied Mathematics, Philadelphia, PA
-
E. ANDERSON, Z. BAI, C. BISCHOF, J. DEMMEL, J. DONGARRA, J. DU CROZ, A. GREENBAUM, S. HAMMARLING, A. MCKENNEY, S. OSTROUCHOV, AND D. SORENSEN, LAPACK Users' Guide, 2nd ed., Society for Industrial and Applied Mathematics, Philadelphia, PA, 1994.
-
(1994)
LAPACK Users' Guide, 2nd Ed.
-
-
Anderson, E.1
Bai, Z.2
Bischof, C.3
Demmel, J.4
Dongarra, J.5
Du Croz, J.6
Greenbaum, A.7
Hammarling, S.8
Mckenney, A.9
Ostrouchov, S.10
Sorensen, D.11
-
2
-
-
0003100869
-
An improved algorithm for the computation of Kronecker's canonical form of a singular pencil
-
T. BEELEN AND P. VAN DOOREN, An improved algorithm for the computation of Kronecker's canonical form of a singular pencil. Linear Algebra Appl., 105 (1988), pp. 9-65.
-
(1988)
Linear Algebra Appl.
, vol.105
, pp. 9-65
-
-
Beelen, T.1
Van Dooren, P.2
-
3
-
-
0024929704
-
A block QR factorization algorithm using restricted pivoting
-
ACM Press, New York
-
C. H. BISCHOF, A block QR factorization algorithm using restricted pivoting, in Proceedings, Supercomputing '89, ACM Press, New York, 1989, pp. 248-256.
-
(1989)
Proceedings, Supercomputing '89
, pp. 248-256
-
-
Bischof, C.H.1
-
4
-
-
0000051956
-
Incremental condition estimation
-
_, Incremental condition estimation, SIAM J. Matrix Anal. Appl., 11 (1990), pp. 312-322.
-
(1990)
SIAM J. Matrix Anal. Appl.
, vol.11
, pp. 312-322
-
-
-
5
-
-
0041018232
-
Structure preserving and rank-revealing QR-factorizations
-
C. H. BISCHOF AND P. C. HANSEN, Structure preserving and rank-revealing QR-factorizations, SIAM J. Sci. Statist. Comput., 12 (1991), pp. 1332-1350.
-
(1991)
SIAM J. Sci. Statist. Comput.
, vol.12
, pp. 1332-1350
-
-
Bischof, C.H.1
Hansen, P.C.2
-
6
-
-
0039014368
-
A block algorithm for computing rank-revealing QR factorizations
-
_, A block algorithm for computing rank-revealing QR factorizations. Numerical Algorithms, 2 (1992), pp. 371-392.
-
(1992)
Numerical Algorithms
, vol.2
, pp. 371-392
-
-
-
8
-
-
0000673625
-
Linear least squares solutions by Householder transformations
-
P. A. BUSINGER AND G. H. GOLUB, Linear least squares solutions by Householder transformations, Numer. Math., 7 (1965), pp. 269-276.
-
(1965)
Numer. Math.
, vol.7
, pp. 269-276
-
-
Businger, P.A.1
Golub, G.H.2
-
9
-
-
84909652504
-
On the existence and computation of LU-factorizations with small pivots
-
T. F. CHAN, On the existence and computation of LU-factorizations with small pivots, Math. Comp., 42 (1984), pp. 535-547.
-
(1984)
Math. Comp.
, vol.42
, pp. 535-547
-
-
Chan, T.F.1
-
10
-
-
0002170151
-
Rank revealing QR factorizations
-
_, Rank revealing QR factorizations, Linear Algebra Appl., 88/89 (1987), pp. 67-82.
-
(1987)
Linear Algebra Appl.
, vol.88-89
, pp. 67-82
-
-
-
11
-
-
0001138266
-
Computing truncated singular value decomposition least squares solutions by rank revealing QR-factorizations
-
T. F. CHAN AND P. C. HANSEN, Computing truncated singular value decomposition least squares solutions by rank revealing QR-factorizations, SIAM J. Sci. Statist. Comput., 11 (1990), pp. 519-530.
-
(1990)
SIAM J. Sci. Statist. Comput.
, vol.11
, pp. 519-530
-
-
Chan, T.F.1
Hansen, P.C.2
-
12
-
-
0001326391
-
Some applications of the rank revealing QR factorization
-
_, Some applications of the rank revealing QR factorization, SIAM J. Sci. Statist. Comput., 13 (1992), pp. 727-741.
-
(1992)
SIAM J. Sci. Statist. Comput.
, vol.13
, pp. 727-741
-
-
-
14
-
-
21844490820
-
Analysis of a QR algorithm for computing singular values
-
_, Analysis of a QR algorithm for computing singular values, SIAM J. Matrix Anal. Appl., 16 (1995), pp. 520-535.
-
(1995)
SIAM J. Matrix Anal. Appl.
, vol.16
, pp. 520-535
-
-
-
15
-
-
84971972448
-
Parallel numerical linear algebra
-
A. Iserles, ed., Cambridge University Press, Cambridge
-
J. DEMMEL, M. HEATH, AND H. VAN DER VORST, Parallel numerical linear algebra, in Acta Numerica, A. Iserles, ed., Vol. 2, Cambridge University Press, Cambridge, 1993, pp. 111-197.
-
(1993)
Acta Numerica
, vol.2
, pp. 111-197
-
-
Demmel, J.1
Heath, M.2
Van Der Vorst, H.3
-
16
-
-
0002537710
-
Solution of linear algebraic systems with rectangular matrices
-
D. K. FADDEEV, V. N. KUBLANOVSKAYA, AND V. N. FADDEEVA, Solution of linear algebraic systems with rectangular matrices, Proc. Steklov Inst. Math., 96 (1968), pp. 93-111.
-
(1968)
Proc. Steklov Inst. Math.
, vol.96
, pp. 93-111
-
-
Faddeev, D.K.1
Kublanovskaya, V.N.2
Faddeeva, V.N.3
-
17
-
-
0008989201
-
Sur les systemes lineaires algebriques de matrices rectangulaires et malconditionees
-
Editions Centre Nat. Recherche Sci., Paris VII
-
_, Sur les systemes lineaires algebriques de matrices rectangulaires et malconditionees, in Programmation en Mathematiques Numeriques, Editions Centre Nat. Recherche Sci., Paris VII, 1968, pp. 161-170.
-
(1968)
Programmation en Mathematiques Numeriques
, pp. 161-170
-
-
-
18
-
-
38249043588
-
Rank and null space calculations using matrix decomposition without column interchanges
-
L. V. FOSTER, Rank and null space calculations using matrix decomposition without column interchanges, Linear Algebra Appl., 74 (1986), pp. 47-71.
-
(1986)
Linear Algebra Appl.
, vol.74
, pp. 47-71
-
-
Foster, L.V.1
-
19
-
-
84966204836
-
Methods for modifying matrix factorizations
-
P. E. GILL, G. H. GOLUB, W. MURRAY, AND M. A. SAUNDERS, Methods for modifying matrix factorizations, Math. Comp., 28 (1974), pp. 505-535.
-
(1974)
Math. Comp.
, vol.28
, pp. 505-535
-
-
Gill, P.E.1
Golub, G.H.2
Murray, W.3
Saunders, M.A.4
-
20
-
-
0000924593
-
Numerical methods for solving linear least squares problems
-
G. H. GOLUB, Numerical methods for solving linear least squares problems, Numer. Math., 7 (1965), pp. 206-216.
-
(1965)
Numer. Math.
, vol.7
, pp. 206-216
-
-
Golub, G.H.1
-
21
-
-
0041198797
-
Matrix decompositions and statistical computation
-
R. C. Milton and J. A. Neider, eds., Academic Press, New York
-
_, Matrix decompositions and statistical computation, in Statistical Computation, R. C. Milton and J. A. Neider, eds., Academic Press, New York, 1969, pp. 365-397.
-
(1969)
Statistical Computation
, pp. 365-397
-
-
-
22
-
-
0003683914
-
-
Tech. Report TR-456, Dept. of Computer Science, University of Maryland, College Park, MD
-
G. H. GOLUB, V. KLEMA, AND G. W. STEWART, Rank Degeneracy and Least Squares Problems, Tech. Report TR-456, Dept. of Computer Science, University of Maryland, College Park, MD, 1976.
-
(1976)
Rank Degeneracy and Least Squares Problems
-
-
Golub, G.H.1
Klema, V.2
Stewart, G.W.3
-
23
-
-
0013019287
-
The differentiation of pseudo-inverses, separable nonlinear least squares problems and other tales
-
M. Z. Nashed, ed., Academic Press, New York
-
G. H. GOLUB AND V. PEREYRA, The differentiation of pseudo-inverses, separable nonlinear least squares problems and other tales, in Generalized Inverses and Applications, M. Z. Nashed, ed., Academic Press, New York, 1976, pp. 303-324.
-
(1976)
Generalized Inverses and Applications
, pp. 303-324
-
-
Golub, G.H.1
Pereyra, V.2
-
24
-
-
0004236492
-
-
The Johns Hopkins University Press, Baltimore, MD
-
G. H. GOLUB AND C. F. VAN LOAN, Matrix Computations, 2nd ed., The Johns Hopkins University Press, Baltimore, MD, 1989.
-
(1989)
Matrix Computations, 2nd Ed.
-
-
Golub, G.H.1
Van Loan, C.F.2
-
25
-
-
0000426239
-
A stable variant of the secant method for solving nonlinear equations
-
W. B. GRAGG AND G. W. STEWART, A stable variant of the secant method for solving nonlinear equations, SIAM J. Numer. Anal., 13 (1976), pp. 880-903.
-
(1976)
SIAM J. Numer. Anal.
, vol.13
, pp. 880-903
-
-
Gragg, W.B.1
Stewart, G.W.2
-
26
-
-
0009212259
-
Finding Well-Conditioned Similarities to Block-Diagonalize Nonsymmetric Matrices is NP-Hard
-
M. Gu, Finding Well-Conditioned Similarities to Block-Diagonalize Nonsymmetric Matrices is NP-Hard, J. of Complexity, 11 (1995), pp. 377-391.
-
(1995)
J. of Complexity
, vol.11
, pp. 377-391
-
-
Gu, M.1
-
28
-
-
84968501766
-
Rank-revealing QR factorizations and the singular value decomposition
-
Y. P. HONG AND C.-T. PAN, Rank-revealing QR factorizations and the singular value decomposition, Math. Comp., 58 (1992), pp. 213-232.
-
(1992)
Math. Comp.
, vol.58
, pp. 213-232
-
-
Hong, Y.P.1
Pan, C.-T.2
-
30
-
-
0040424114
-
An Alternative Column Selection Criterion for a Rank-Revealing QR Factorization
-
Tech. Report BCSTECH-93-021, Boeing Computer Services, Seattle, WA, July To appear
-
T.-M. HWANG, W.-W. LIN, AND D. PIERCE, An Alternative Column Selection Criterion for a Rank-Revealing QR Factorization, Tech. Report BCSTECH-93-021, Boeing Computer Services, Seattle, WA, July 1993. To appear in Math. Comp..
-
(1993)
Math. Comp.
-
-
Hwang, T.-M.1
Lin, W.-W.2
Pierce, D.3
-
31
-
-
85033007989
-
-
Tech. Report BCSTECH-93-007, Boeing Computer Services, Seattle, WA, Oct.
-
_, Improved Bound for Rank Revealing LU Factorizations, Tech. Report BCSTECH-93-007, Boeing Computer Services, Seattle, WA, Oct. 1993.
-
(1993)
Improved Bound for Rank Revealing LU Factorizations
-
-
-
32
-
-
0005635063
-
Rank revealing LU factorizations
-
T.-M. HWANG, W.-W. LIN, AND E. K. YANG, Rank revealing LU factorizations, Linear Algebra Appl., 175 (1992), pp. 115-141.
-
(1992)
Linear Algebra Appl.
, vol.175
, pp. 115-141
-
-
Hwang, T.-M.1
Lin, W.-W.2
Yang, E.K.3
-
33
-
-
0000491435
-
Numerical linear algebra
-
W. KAHAN, Numerical linear algebra, Canad. Math. Bull., 9 (1966), pp. 757-801.
-
(1966)
Canad. Math. Bull.
, vol.9
, pp. 757-801
-
-
Kahan, W.1
-
34
-
-
5744254543
-
Assessment of linear dependencies in multivariate data
-
V. E. KANE, R. C. WARD, AND G. J. DAVIS, Assessment of linear dependencies in multivariate data, SIAM J. Sci. Statist. Comput., 6 (1985), pp. 1022-1032.
-
(1985)
SIAM J. Sci. Statist. Comput.
, vol.6
, pp. 1022-1032
-
-
Kane, V.E.1
Ward, R.C.2
Davis, G.J.3
-
35
-
-
0001644871
-
AB-Algorithm and its modifications for the spectral problems of linear pencils of matrices
-
V. N. KUBLANOVSKAYA, AB-Algorithm and its modifications for the spectral problems of linear pencils of matrices, Numer. Math., 43 (1984), pp. 329-342.
-
(1984)
Numer. Math.
, vol.43
, pp. 329-342
-
-
Kublanovskaya, V.N.1
-
37
-
-
0042472674
-
-
Preprint MCS-P332-1092, Mathematics and Computer Science Division, Argonne National Laboratory, Argonne, IL, Oct.
-
C.-T. PAN AND P. T. P. TANG, Bounds on Singular Values Revealed by QR Factorizations, Preprint MCS-P332-1092, Mathematics and Computer Science Division, Argonne National Laboratory, Argonne, IL, Oct. 1992.
-
(1992)
Bounds on Singular Values Revealed by QR Factorizations
-
-
Pan, C.-T.1
Tang, P.T.P.2
-
39
-
-
0003157472
-
Rank degeneracy
-
_, Rank degeneracy, SIAM J. Sci. Statist. Comput., 5 (1984), pp. 403-413.
-
(1984)
SIAM J. Sci. Statist. Comput.
, vol.5
, pp. 403-413
-
-
-
40
-
-
0043213168
-
-
Tech. Report CS TR-2495, Dept. of Computer Science, University of Maryland, College Park, MD, July
-
G. W. STEWART, Incremental Condition Calculation and Column Selection, Tech. Report CS TR-2495, Dept. of Computer Science, University of Maryland, College Park, MD, July 1990.
-
(1990)
Incremental Condition Calculation and Column Selection
-
-
Stewart, G.W.1
-
41
-
-
0026882267
-
An updating algorithm for subspace tracking
-
_, An updating algorithm for subspace tracking, IEEE Trans. Signal Processing, 40 (1992), pp. 1535-1541.
-
(1992)
IEEE Trans. Signal Processing
, vol.40
, pp. 1535-1541
-
-
-
42
-
-
0040130684
-
Updating a rank-revealing ULV decomposition
-
_, Updating a rank-revealing ULV decomposition, SIAM J. Matrix Anal. Appl., 14 (1993), pp. 494-499.
-
(1993)
SIAM J. Matrix Anal. Appl.
, vol.14
, pp. 494-499
-
-
-
43
-
-
84945709312
-
Error analysis of direct methods of matrix inversion
-
J. H. WILKINSON, Error analysis of direct methods of matrix inversion, J. Assoc. Comput. Mach., 8 (1961), pp. 281-330.
-
(1961)
J. Assoc. Comput. Mach.
, vol.8
, pp. 281-330
-
-
Wilkinson, J.H.1
-
44
-
-
0001681052
-
The collinearity problem in linear regression. the partial least squares (PLS) approach to generalized inverses
-
S. WOLD, A. RUHE, H. WOLD, AND W. J. DUNN, III, The collinearity problem in linear regression. The partial least squares (PLS) approach to generalized inverses, SIAM J. Sci. Statist. Comput., 5 (1984), pp. 735-743.
-
(1984)
SIAM J. Sci. Statist. Comput.
, vol.5
, pp. 735-743
-
-
Wold, S.1
Ruhe, A.2
Wold, H.3
Dunn III, W.J.4
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