-
1
-
-
0025445384
-
Computing accurate eigensystems of scaled diagonally dominant matrices
-
J. BARLOW AND J. DEMMEL, Computing accurate eigensystems of scaled diagonally dominant matrices, SIAM J. Numer. Anal., 27 (1990), pp. 762-791.
-
(1990)
SIAM J. Numer. Anal.
, vol.27
, pp. 762-791
-
-
Barlow, J.1
Demmel, J.2
-
2
-
-
0001789071
-
Perturbation of spectral subspaces and solution of linear operator equations
-
R. BHATIA, C. DAVIS, AND A. MCINTOSH, Perturbation of spectral subspaces and solution of linear operator equations, Linear Algebra Appl., 52-53 (1983), pp. 45-67.
-
(1983)
Linear Algebra Appl.
, vol.52-53
, pp. 45-67
-
-
Bhatia, R.1
Davis, C.2
McIntosh, A.3
-
3
-
-
0014751986
-
The rotation of eigenvectors by a perturbation. III
-
C. DAVIS AND W. KAHAN, The rotation of eigenvectors by a perturbation. III, SIAM J. Numer. Anal., 7 (1970), pp. 1-46.
-
(1970)
SIAM J. Numer. Anal.
, vol.7
, pp. 1-46
-
-
Davis, C.1
Kahan, W.2
-
4
-
-
38249003695
-
On computing accurate singular values and eigenvalues of matrices with acyclic graphs
-
J. DEMMEL AND W. GRAGG, On computing accurate singular values and eigenvalues of matrices with acyclic graphs, Linear Algebra Appl., 185 (1993), pp. 203-217.
-
(1993)
Linear Algebra Appl.
, vol.185
, pp. 203-217
-
-
Demmel, J.1
Gragg, W.2
-
5
-
-
0001192187
-
Accurate singular values of bidiagonal matrices
-
J. DEMMEL AND W. KAHAN, Accurate singular values of bidiagonal matrices, SIAM J. Sci. Statist. Comput., 11 (1990), pp. 873-912.
-
(1990)
SIAM J. Sci. Statist. Comput.
, vol.11
, pp. 873-912
-
-
Demmel, J.1
Kahan, W.2
-
6
-
-
21144468781
-
Jacobi's method is more accurate than QR
-
J. DEMMEL AND K. VESELIĆ, Jacobi's method is more accurate than QR, SIAM J. Matrix Anal. Appl., 13 (1992), pp. 1204-1245.
-
(1992)
SIAM J. Matrix Anal. Appl.
, vol.13
, pp. 1204-1245
-
-
Demmel, J.1
Veselić, K.2
-
7
-
-
0009285515
-
Relative perturbation bounds for eigenspaces and singular vector subspaces
-
J. G. Lewis, ed., SIAM, Philadelphia
-
S. C. EISENSTAT AND I. C. F. IPSEN, Relative perturbation bounds for eigenspaces and singular vector subspaces, in Proceedings of the Fifth SIAM Conference on Applied Linear Algebra, J. G. Lewis, ed., SIAM, Philadelphia, 1994, pp. 62-66.
-
(1994)
Proceedings of the Fifth SIAM Conference on Applied Linear Algebra
, pp. 62-66
-
-
Eisenstat, S.C.1
Ipsen, I.C.F.2
-
8
-
-
0001371240
-
Relative perturbation techniques for singular value problems
-
S. C. EISENSTAT AND I. C. F. IPSEN, Relative perturbation techniques for singular value problems, SIAM J. Numer. Anal., 32 (1995), pp. 1972-1988.
-
(1995)
SIAM J. Numer. Anal.
, vol.32
, pp. 1972-1988
-
-
Eisenstat, S.C.1
Ipsen, I.C.F.2
-
9
-
-
0004222768
-
-
Technical Report CS41, Computer Science Department, Stanford University, Stanford, CA, (revised June 1968)
-
W. KAHAN, Accurate Eigenvalues of a Symmetric Tridiagonal Matrix, Technical Report CS41, Computer Science Department, Stanford University, Stanford, CA, 1966 (revised June 1968).
-
(1966)
Accurate Eigenvalues of a Symmetric Tridiagonal Matrix
-
-
Kahan, W.1
-
10
-
-
0009230220
-
-
manuscript, Department of Mathematics, University of California, Berkeley, CA
-
R.-C. LI, On Deflating Bidiagonal Matrices, manuscript, Department of Mathematics, University of California, Berkeley, CA, 1994.
-
(1994)
On Deflating Bidiagonal Matrices
-
-
Li, R.-C.1
-
11
-
-
84968490745
-
On perturbations of matrix pencils with real spectra
-
R.-C. LI, On perturbations of matrix pencils with real spectra, Math. Comp., 62 (1994), pp. 231-265.
-
(1994)
Math. Comp.
, vol.62
, pp. 231-265
-
-
Li, R.-C.1
-
12
-
-
0032344743
-
Relative perturbation theory: (I). Eigenvalue and singular value variations
-
R.-C. LI, Relative perturbation theory: (I). Eigenvalue and singular value variations, SIAM J. Matrix Anal. Appl., 19 (1998), pp. 956-982.
-
(1998)
SIAM J. Matrix Anal. Appl.
, vol.19
, pp. 956-982
-
-
Li, R.-C.1
-
13
-
-
0004126896
-
-
Technical Report UCB//CSD-94-856, Computer Science Division, Department of EECS, University of California at Berkeley, also LAPACK Working notes # 85 revised January 1996 and April 1996, available at
-
R.-C. LI, Relative perturbation theory: (II) Eigenspace and singular subspace variations, Technical Report UCB//CSD-94-856, Computer Science Division, Department of EECS, University of California at Berkeley, 1994, also LAPACK Working notes # 85 (revised January 1996 and April 1996, available at http://www.netlib.org/lapack/lawns/lawn85.ps).
-
(1994)
Relative Perturbation Theory: (II) Eigenspace and Singular Subspace Variations
-
-
Li, R.-C.1
-
14
-
-
0031493430
-
Spectral perturbation bounds for positive definite matrices
-
R. MATHIAS, Spectral Perturbation Bounds for Positive Definite Matrices, SIAM J. Matrix Anal. Appl., 18 (1997), pp. 959-980.
-
(1997)
SIAM J. Matrix Anal. Appl.
, vol.18
, pp. 959-980
-
-
Mathias, R.1
-
16
-
-
0002790288
-
Perturbation bounds in connection with singular value decomposition
-
P.-A. WEDIN, Perturbation bounds in connection with singular value decomposition, BIT, 12 (1972), pp. 99-111.
-
(1972)
BIT
, vol.12
, pp. 99-111
-
-
Wedin, P.-A.1
-
17
-
-
0001312940
-
-
Matrix Pencils, B. Kågström and A. Ruhe, eds., Springer-Verlag, New York
-
P.-A. WEDIN, On angles between subspaces, in Matrix Pencils, B. Kågström and A. Ruhe, eds., Springer-Verlag, New York, 1983, pp. 263-285.
-
(1983)
On Angles between Subspaces
, pp. 263-285
-
-
Wedin, P.-A.1
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