-
1
-
-
0025445384
-
Computing accurate eigensystems of scaled diagonally dominant matrices
-
Barlow J., Demmel J. Computing accurate eigensystems of scaled diagonally dominant matrices. SIAM J. Numer. Anal. 27:1990;762-791.
-
(1990)
SIAM J. Numer. Anal.
, vol.27
, pp. 762-791
-
-
Barlow, J.1
Demmel, J.2
-
2
-
-
0033632911
-
The p-relative distance is a metric
-
to appear
-
A. Barrlund, The p -relative distance is a metric, SIAM J. Matrix Anal. Appl. (1998), to appear.
-
(1998)
SIAM J. Matrix Anal. Appl.
-
-
Barrlund, A.1
-
3
-
-
0014751986
-
The rotation of eigenvectors by a perturbation. III
-
Davis C., Kahan W. The rotation of eigenvectors by a perturbation. III. SIAM J. Numer. Anal. 7:1970;1-46.
-
(1970)
SIAM J. Numer. Anal.
, vol.7
, pp. 1-46
-
-
Davis, C.1
Kahan, W.2
-
4
-
-
0026238244
-
The bidiagonal singular value decomposition and Hamiltonian mechanics
-
Deift P., Demmel J., Li L.-C., Tomei C. The bidiagonal singular value decomposition and Hamiltonian mechanics. SIAM J. Numer. Anal. 28:1991;1463-1516.
-
(1991)
SIAM J. Numer. Anal.
, vol.28
, pp. 1463-1516
-
-
Deift, P.1
Demmel, J.2
Li, L.-C.3
Tomei, C.4
-
6
-
-
0033633262
-
Accurate SVDs of structure matrices
-
J. Demmel, Accurate SVDs of structure matrices, SIAM J. Matrix Anal. Appl. 21 (2000) 562-580.
-
(2000)
SIAM J. Matrix Anal. Appl.
, vol.21
, pp. 562-580
-
-
Demmel, J.1
-
7
-
-
38249003695
-
On computing accurate singular values and eigenvalues of matrices with acyclic graphs
-
Demmel J., Gragg W. On computing accurate singular values and eigenvalues of matrices with acyclic graphs. Linear Algebra Appl. 185:1993;203-217.
-
(1993)
Linear Algebra Appl.
, vol.185
, pp. 203-217
-
-
Demmel, J.1
Gragg, W.2
-
8
-
-
0001192187
-
Accurate singular values of bidiagonal matrices
-
Demmel J., Kahan W. Accurate singular values of bidiagonal matrices. SIAM J. Sci. Statist. Comput. 11:1990;873-912.
-
(1990)
SIAM J. Sci. Statist. Comput.
, vol.11
, pp. 873-912
-
-
Demmel, J.1
Kahan, W.2
-
9
-
-
21144468781
-
Jacobi's method is more accurate than QR
-
J. Demmel, K. Veselić, Jacobi's method is more accurate than QR, SIAM J. Matrix Anal. Appl. 13 (1992) 1204-1245.
-
(1992)
SIAM J. Matrix Anal. Appl.
, vol.13
, pp. 1204-1245
-
-
Demmel, J.1
Veselić, K.2
-
10
-
-
0033471602
-
Computing the singular value decomposition with high relative accuracy
-
Demmel J.W., Gu M., Eisenstat S.C., Slapničar I., Veselić K., Drmač Z. Computing the singular value decomposition with high relative accuracy. Linear Algebra Appl. 299:1999;21-80.
-
(1999)
Linear Algebra Appl.
, vol.299
, pp. 21-80
-
-
Demmel, J.W.1
Gu, M.2
Eisenstat, S.C.3
Slapničar, I.4
Veselić, K.5
Drmač, Z.6
-
11
-
-
0008486996
-
Results on the relative perturbation of the singular values of a matrix
-
DiLena G., Peluso R.I., Piazza G. Results on the relative perturbation of the singular values of a matrix. BIT. 33:1993;647-653.
-
(1993)
BIT
, vol.33
, pp. 647-653
-
-
Dilena, G.1
Peluso, R.I.2
Piazza, G.3
-
12
-
-
0009285515
-
Relative perturbation bounds for eigenspaces and singular vector subspaces
-
in: J.G. Lewis (Ed.), SIAM, Philadelphia, PA
-
S.C. Eisenstat, I.C.F. Ipsen, Relative perturbation bounds for eigenspaces and singular vector subspaces, in: J.G. Lewis (Ed.), Proceedings of the Fifth SIAM Conference on Applied Linear Algebra, SIAM, Philadelphia, PA, 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
-
13
-
-
0001371240
-
Relative perturbation techniques for singular value problems
-
Eisenstat S.C., Ipsen I.C.F. Relative perturbation techniques for singular value problems. SIAMJ. Numer. Anal. 32:1995;1972-1988.
-
(1995)
SIAMJ. Numer. Anal.
, vol.32
, pp. 1972-1988
-
-
Eisenstat, S.C.1
Ipsen, I.C.F.2
-
14
-
-
21344496407
-
Accurate singular values and differential qd algorithms
-
Fernando K.V., Parlett B.N. Accurate singular values and differential qd algorithms. Numer. Math. 67:1994;191-229.
-
(1994)
Numer. Math.
, vol.67
, pp. 191-229
-
-
Fernando, K.V.1
Parlett, B.N.2
-
16
-
-
85011525782
-
Relative perturbation results for matrix eigenvalues and singular values
-
I.C.F. Ipsen, Relative perturbation results for matrix eigenvalues and singular values, Acta Numerica 7 (1998) 151-201.
-
(1998)
Acta Numerica
, vol.7
, pp. 151-201
-
-
Ipsen, I.C.F.1
-
17
-
-
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
-
18
-
-
0033479425
-
The Lidskii-Mirsky-Wielandt theorem - Additive and multiplicative versions
-
Li C.-K., Mathias R. The Lidskii-Mirsky-Wielandt theorem - additive and multiplicative versions. Numer. Math. 81:1999;377-413.
-
(1999)
Numer. Math.
, vol.81
, pp. 377-413
-
-
Li, C.-K.1
Mathias, R.2
-
19
-
-
84968490745
-
On perturbations of matrix pencils with real spectra
-
Li R.-C. On perturbations of matrix pencils with real spectra. Math. Comput. 62:1994;231-265.
-
(1994)
Math. Comput.
, vol.62
, pp. 231-265
-
-
Li, R.-C.1
-
20
-
-
0032344743
-
Relative perturbation theory: I. Eigenvalue and singular value variations
-
Li R.-C. Relative perturbation theory: I. Eigenvalue and singular value variations. SIAM J. Matrix Anal. Appl. 19:1998;956-982.
-
(1998)
SIAM J. Matrix Anal. Appl.
, vol.19
, pp. 956-982
-
-
Li, R.-C.1
-
21
-
-
0032216896
-
Relative perturbation theory: II. Eigenspace and singular subspace variations
-
Li R.-C. Relative perturbation theory: II. Eigenspace and singular subspace variations. SIAMJ. Matrix Anal. Appl. 20:1999;471-492.
-
(1999)
SIAMJ. Matrix Anal. Appl.
, vol.20
, pp. 471-492
-
-
Li, R.-C.1
-
22
-
-
0039419182
-
Relative perturbation theory: (III) more bounds on eigenvalue variation
-
Li R.-C. Relative perturbation theory: (III) more bounds on eigenvalue variation. Linear Algebra Appl. 266:1997;337-345.
-
(1997)
Linear Algebra Appl.
, vol.266
, pp. 337-345
-
-
Li, R.-C.1
-
23
-
-
0033632301
-
A bound on the solution to a structured Sylvester equation with an application to relative perturbation theory
-
Li R.-C. A bound on the solution to a structured Sylvester equation with an application to relative perturbation theory. SIAM J. Matrix Anal. Appl. 21:2000;440-445.
-
(2000)
SIAM J. Matrix Anal. Appl.
, vol.21
, pp. 440-445
-
-
Li, R.-C.1
-
24
-
-
0034391393
-
A new relative perturbation theorem for singular subspaces
-
to appear
-
R.-C. Li, G.W. Stewart, A new relative perturbation theorem for singular subspaces, Linear Algebra Appl. (2000), to appear.
-
(2000)
Linear Algebra Appl.
-
-
Li, R.-C.1
Stewart, G.W.2
-
25
-
-
0042375241
-
Accurate eigensystem computations by Jacobi methods
-
Mathias R. Accurate eigensystem computations by Jacobi methods. SIAM J. Matrix Anal. Appl. 16:1995;977-1003.
-
(1995)
SIAM J. Matrix Anal. Appl.
, vol.16
, pp. 977-1003
-
-
Mathias, R.1
-
26
-
-
0031493430
-
Spectral perturbation bounds for positive definite matrices
-
Mathias R. Spectral perturbation bounds for positive definite matrices. SIAM J. Matrix Anal. Appl. 18:1997;959-980.
-
(1997)
SIAM J. Matrix Anal. Appl.
, vol.18
, pp. 959-980
-
-
Mathias, R.1
-
28
-
-
0003651309
-
Accurate symmetric eigenreduction by a Jacobi method
-
Ph.D. Thesis, Facbereich Mathematik
-
I. Slapničar, Accurate symmetric eigenreduction by a Jacobi method, Ph.D. Thesis, Fernuniversität - Gesamthochschule - Hagen, Facbereich Mathematik, 1992.
-
(1992)
Fernuniversität - Gesamthochschule - Hagen
-
-
Slapničar, I.1
-
29
-
-
0038892101
-
Perturbation bounds for eigenspaces of a definite matrix pair
-
Sun J.-G. Perturbation bounds for eigenspaces of a definite matrix pair. Numer. Math. 41:1983;321-343.
-
(1983)
Numer. Math.
, vol.41
, pp. 321-343
-
-
Sun, J.-G.1
-
30
-
-
0016926423
-
Generalizing the singular value decomposition
-
C.F. Van Loan, Generalizing the singular value decomposition, SIAM J. Numer. Anal. 13 (1976) 76-83.
-
(1976)
SIAM J. Numer. Anal.
, vol.13
, pp. 76-83
-
-
Van Loan, C.F.1
-
31
-
-
0002790288
-
Perturbation bounds in connection with singular value decomposition
-
Wedin P.-Å. Perturbation bounds in connection with singular value decomposition. BIT. 12:1972;99-111.
-
(1972)
BIT
, vol.12
, pp. 99-111
-
-
Wedin, P.-Å.1
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