-
1
-
-
85033768648
-
A new perturbation analysis for R in the QR factorization
-
McGill University, School of Computer Science
-
CHANG, X.-W., & PAIGE, C. C. 1995 A new perturbation analysis for R in the QR factorization. Technical Report SOCS-95.7, McGill University, School of Computer Science.
-
(1995)
Technical Report SOCS-95.7
-
-
Chang, X.-W.1
Paige, C.C.2
-
2
-
-
0012064522
-
Generalizing the LINPACK condition estimator
-
(J. P. Hennart, ed). New York: Springer
-
CLINE, A. K., CONN, A. R., & VAN LOAN, C. F. 1982 Generalizing the LINPACK condition estimator. Numerical Analysis (Springer Lecture Notes in Mathematics 909) (J. P. Hennart, ed). New York: Springer.
-
(1982)
Numerical Analysis (Springer Lecture Notes in Mathematics 909)
-
-
Cline, A.K.1
Conn, A.R.2
Van Loan, C.F.3
-
3
-
-
0001685079
-
An estimate for the condition number of a matrix
-
CLINE, A. K., MOLER, C. B., STEWART, G. W., & WILKINSON, J. H. 1979 An estimate for the condition number of a matrix. SIAM J. Numer. Anal. 16, 368-375.
-
(1979)
SIAM J. Numer. Anal.
, vol.16
, pp. 368-375
-
-
Cline, A.K.1
Moler, C.B.2
Stewart, G.W.3
Wilkinson, J.H.4
-
4
-
-
0001290746
-
Estimating extremal eigenvalues and condition number of matrices
-
DIXON, J. D. 1983 Estimating extremal eigenvalues and condition number of matrices. SIAM J. Numer. Anal. 20, 812-814.
-
(1983)
SIAM J. Numer. Anal.
, vol.20
, pp. 812-814
-
-
Dixon, J.D.1
-
5
-
-
0023538126
-
A survey of condition number estimation for triangular matrices
-
HIGHAM, N. J. 1987 A survey of condition number estimation for triangular matrices. SIAM Rev. 29, 575-596
-
(1987)
SIAM Rev.
, vol.29
, pp. 575-596
-
-
Higham, N.J.1
-
6
-
-
0003306408
-
Analysis of the Cholesky decomposition of a semi-definite matrix
-
(M. G. Cox and S. J. Hammarling, eds). Oxford: Oxford University Press
-
HIGHAM, N. J. 1990 Analysis of the Cholesky decomposition of a semi-definite matrix. Reliable Numerical Computation (M. G. Cox and S. J. Hammarling, eds). Oxford: Oxford University Press, pp 161-186.
-
(1990)
Reliable Numerical Computation
, pp. 161-186
-
-
Higham, N.J.1
-
8
-
-
0000491435
-
Numerical linear algebra
-
KAHAN, W. 1966 Numerical linear algebra. Can. Math. Bull. 9, 757-801.
-
(1966)
Can. Math. Bull.
, vol.9
, pp. 757-801
-
-
Kahan, W.1
-
9
-
-
0020983983
-
Refined error analyses of Cholesky factorization
-
MEINGUET, J. 1983 Refined error analyses of Cholesky factorization. SIAM J. Numer. Anal. 20, 1243-1250.
-
(1983)
SIAM J. Numer. Anal.
, vol.20
, pp. 1243-1250
-
-
Meinguet, J.1
-
10
-
-
0001162599
-
Error and perturbation bounds for subspaces associated with certain eigenvalue problems
-
STEWART, G. W. 1973 Error and perturbation bounds for subspaces associated with certain eigenvalue problems. SIAM Rev. 15, 727-764.
-
(1973)
SIAM Rev.
, vol.15
, pp. 727-764
-
-
Stewart, G.W.1
-
11
-
-
0001333621
-
Perturbation bounds for the QR factorization of a matrix
-
STEWART, G. W. 1977 Perturbation bounds for the QR factorization of a matrix. SIAM J. Numer. Anal. 14, 509-518.
-
(1977)
SIAM J. Numer. Anal.
, vol.14
, pp. 509-518
-
-
Stewart, G.W.1
-
12
-
-
21344485019
-
On the perturbation of LU, Cholesky, and QR factorizations
-
STEWART, G. W. 1993 On the perturbation of LU, Cholesky, and QR factorizations. SIAM J. Matrix Anal. Appl. 14, 1141-1146.
-
(1993)
SIAM J. Matrix Anal. Appl.
, vol.14
, pp. 1141-1146
-
-
Stewart, G.W.1
-
13
-
-
0031517968
-
The triangular matrices of Gaussian elimination and related decompositions
-
Technical Report CS-TR-3533 UMIACS-TR-95-91, University of Maryland, Department of Computer Science. in press
-
STEWART, G. W. 1995a The triangular matrices of Gaussian elimination and related decompositions. Technical Report CS-TR-3533 UMIACS-TR-95-91, University of Maryland, Department of Computer Science. (IAM J. Numer. Anal. 17, in press.)
-
(1995)
IAM J. Numer. Anal.
, vol.17
-
-
Stewart, G.W.1
-
14
-
-
0031512557
-
On the perturbation of LU and Cholesky factors
-
Technical Report CS-TR-3535 UMIACS-TR-95-93, University of Maryland, Department of Computer Science in press
-
STEWART, G. W. 1995b On the perturbation of LU and Cholesky factors. Technical Report CS-TR-3535 UMIACS-TR-95-93, University of Maryland, Department of Computer Science. (IMA J. Numer. Anal. 17, in press.)
-
(1995)
IMA J. Numer. Anal.
, vol.17
-
-
Stewart, G.W.1
-
16
-
-
0001059564
-
Perturbation bounds for the Cholesky and QR factorization
-
SUN, J.-G. 1991 Perturbation bounds for the Cholesky and QR factorization. BIT 31, 341-352.
-
(1991)
BIT
, vol.31
, pp. 341-352
-
-
Sun, J.-G.1
-
18
-
-
0000944097
-
Componentwise perturbation bounds for some matrix decompositions
-
SUN, J.-G. 1992b Componentwise perturbation bounds for some matrix decompositions. BIT 32, 702-714.
-
(1992)
BIT
, vol.32
, pp. 702-714
-
-
Sun, J.-G.1
-
19
-
-
0002090018
-
Condition numbers and equilibration of matrices
-
VAN DER SLUIS, A. 1969 Condition numbers and equilibration of matrices. Numerische Mathematik 14, 14-23.
-
(1969)
Numerische Mathematik
, vol.14
, pp. 14-23
-
-
Van Der Sluis, A.1
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