-
2
-
-
0015200926
-
Analysis of the diagonal pivoting method
-
J. R. BUNCH, Analysis of the diagonal pivoting method, SIAM J. Numer. Anal., 8 (1971), pp. 656-680.
-
(1971)
SIAM J. Numer. Anal
, vol.8
, pp. 656-680
-
-
BUNCH, J.R.1
-
3
-
-
0015200767
-
Direct methods for solving symmetric indefinite systems of linear equations
-
J. R. BUNCH AND B. PARLETT, Direct methods for solving symmetric indefinite systems of linear equations, SIAM J. Numer. Anal., 8 (1971), pp. 639-655.
-
(1971)
SIAM J. Numer. Anal
, vol.8
, pp. 639-655
-
-
BUNCH, J.R.1
PARLETT, B.2
-
4
-
-
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
-
5
-
-
0000583828
-
Manifestations of the Schur complement
-
R. W. COTTLE, Manifestations of the Schur complement, Linear Algebra Appl., 8 (1974), pp. 189-211.
-
(1974)
Linear Algebra Appl
, vol.8
, pp. 189-211
-
-
COTTLE, R.W.1
-
7
-
-
0033633262
-
Accurate singular value decompositions of structured matrices
-
J. W. DEMMEL, Accurate singular value decompositions of structured matrices, SIAM J. Matrix Anal. Appl., 21 (1999), pp. 562-580.
-
(1999)
SIAM J. Matrix Anal. Appl
, vol.21
, pp. 562-580
-
-
DEMMEL, J.W.1
-
8
-
-
0001192187
-
Accurate singular values of bidiagonal matrices
-
J. W. DEMMEL AND W. KAHAN, Accurate singular values of bidiagonal matrices, SIAM J. Sci. Stat. Comp., 11 (1990), pp. 873-912.
-
(1990)
SIAM J. Sci. Stat. Comp
, vol.11
, pp. 873-912
-
-
DEMMEL, J.W.1
KAHAN, W.2
-
9
-
-
3542992672
-
Accurate SVDs of weakly diagonally dominant M-matrices
-
J. W. DEMMEL AND P. KOEV, Accurate SVDs of weakly diagonally dominant M-matrices, Numer. Math., 98 (2004), pp. 99-104.
-
(2004)
Numer. Math
, vol.98
, pp. 99-104
-
-
DEMMEL, J.W.1
KOEV, P.2
-
10
-
-
21144468781
-
Jacobi's method is more accurate than QR
-
J. W. 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.W.1
VESELIĆ, K.2
-
11
-
-
0033471602
-
Computing the singular value decomposition with high relative accuracy
-
J. W. DEMMEL, M. GU, S. EISENSTAT, I. SLAPNIČAR, K. VESELIĆ, AND Z. DRMAČ, Computing the singular value decomposition with high relative accuracy, Linear Algebra Appl., 299 (1999), pp. 21-80.
-
(1999)
Linear Algebra Appl
, vol.299
, pp. 21-80
-
-
DEMMEL, J.W.1
GU, M.2
EISENSTAT, S.3
SLAPNIČAR, I.4
VESELIĆ, K.5
DRMAČ, Z.6
-
13
-
-
2942514399
-
Orthogonal eigenvectors and relative gaps
-
I. S. DHILLON AND B. N. PARLETT, Orthogonal eigenvectors and relative gaps, SIAM J. Matrix Anal. Appl., 25 (2004), pp. 858-899.
-
(2004)
SIAM J. Matrix Anal. Appl
, vol.25
, pp. 858-899
-
-
DHILLON, I.S.1
PARLETT, B.N.2
-
14
-
-
1842843648
-
An orthogonal high relative accuracy algorithm for the symmetric eigenproblem
-
F. M. DOPICO, J. M. MOLERA, AND J. MORO, An orthogonal high relative accuracy algorithm for the symmetric eigenproblem, SIAM J. Matrix Anal. Appl., 25 (2003), pp. 301-351.
-
(2003)
SIAM J. Matrix Anal. Appl
, vol.25
, pp. 301-351
-
-
DOPICO, F.M.1
MOLERA, J.M.2
MORO, J.3
-
15
-
-
34248533214
-
Accurate symmetric rank revealing and eigendecompositions of symmetric structured matrices
-
F. M. DOPICO AND P. KOEV, Accurate symmetric rank revealing and eigendecompositions of symmetric structured matrices, SIAM J. Matrix Anal. Appl., 28 (2006), pp. 1126-1156.
-
(2006)
SIAM J. Matrix Anal. Appl
, vol.28
, pp. 1126-1156
-
-
DOPICO, F.M.1
KOEV, P.2
-
16
-
-
0000075074
-
Accurate computation of the product-induced singular value decomposition with applications
-
Z. DRMAČ, Accurate computation of the product-induced singular value decomposition with applications, SIAM J. Numer. Anal., 35 (1998), pp. 1969-1994.
-
(1998)
SIAM J. Numer. Anal
, vol.35
, pp. 1969-1994
-
-
DRMAČ, Z.1
-
17
-
-
21344496407
-
Accurate singular values and differential qd algorithms
-
K. V. FERNANDO AND B. PARLETT, Accurate singular values and differential qd algorithms, Numer. Math., 67 (1994), pp. 191-229.
-
(1994)
Numer. Math
, vol.67
, pp. 191-229
-
-
FERNANDO, K.V.1
PARLETT, B.2
-
21
-
-
0004222768
-
-
Technical Report CS-41, Department of Computer Science, Stanford University, July, revised edition in June
-
W. KAHAN, Accurate Eigenvalues of a Symmetric Tridiagonal Matrix, Technical Report CS-41, Department of Computer Science, Stanford University, July 1966 (revised edition in June 1968).
-
(1966)
Accurate Eigenvalues of a Symmetric Tridiagonal Matrix
-
-
KAHAN, W.1
-
22
-
-
32944459645
-
Accurate eigenvalues and SVDs of totally nonnegative matrices
-
P. KOEV, Accurate eigenvalues and SVDs of totally nonnegative matrices, SIAM J. Matrix Anal. Appl., 27 (2005), pp. 1-23.
-
(2005)
SIAM J. Matrix Anal. Appl
, vol.27
, pp. 1-23
-
-
KOEV, P.1
-
23
-
-
0042375241
-
Accurate eigensystem computations by Jacobi methods
-
R. MATHIAS, Accurate eigensystem computations by Jacobi methods, SIAM J. Matrix Anal. Appl., 16 (1995), pp. 977-1003.
-
(1995)
SIAM J. Matrix Anal. Appl
, vol.16
, pp. 977-1003
-
-
MATHIAS, R.1
-
24
-
-
22744447467
-
LDU decomposition with L and U well conditioned
-
J. M. PEÑA, LDU decomposition with L and U well conditioned, Electron. Trans. Numer. Anal., 18 (2004), pp. 198-208.
-
(2004)
Electron. Trans. Numer. Anal
, vol.18
, pp. 198-208
-
-
PEÑA, J.M.1
-
25
-
-
0003651309
-
-
Doctoral thesis, Fernuniversität Hagen, Hagen, Germany
-
I. SLAPNIČAR, Accurate Symmetric Eigenreduction by a Jacobi Method, Doctoral thesis, Fernuniversität Hagen, Hagen, Germany, 1992.
-
(1992)
Accurate Symmetric Eigenreduction by a Jacobi Method
-
-
SLAPNIČAR, I.1
-
26
-
-
0041004928
-
Componentwise analysis of direct factorization of real symmetric and Hermitian matrices
-
I. SLAPNIČAR, Componentwise analysis of direct factorization of real symmetric and Hermitian matrices, Linear Algebra Appl., 272 (1998), pp. 227-275.
-
(1998)
Linear Algebra Appl
, vol.272
, pp. 227-275
-
-
SLAPNIČAR, I.1
-
27
-
-
38049025512
-
Highly accurate symmetric eigenvalues decomposition and hyperbolic SVD
-
I. SLAPNIČAR, Highly accurate symmetric eigenvalues decomposition and hyperbolic SVD, Linear Algebra Appl., 358 (2003), pp. 387-424.
-
(2003)
Linear Algebra Appl
, vol.358
, pp. 387-424
-
-
SLAPNIČAR, I.1
-
28
-
-
21844522941
-
Stable numerical algorithms for equilibrium systems
-
S. VAVASIS, Stable numerical algorithms for equilibrium systems, SIAM J. Matrix Anal. Appl., 15 (1994), pp. 1108-1131.
-
(1994)
SIAM J. Matrix Anal. Appl
, vol.15
, pp. 1108-1131
-
-
VAVASIS, S.1
-
29
-
-
21144467676
-
A Jacobi eigenreduction algorithm for definite matrix pairs
-
K. VESELIĆ, A Jacobi eigenreduction algorithm for definite matrix pairs, Numer. Math., 64 (1993), pp. 241-269.
-
(1993)
Numer. Math
, vol.64
, pp. 241-269
-
-
VESELIĆ, K.1
-
30
-
-
21344486120
-
Floating-point perturbations of Hermitian matrices
-
K. VESELIĆ AND I. SLAPNIČAR, Floating-point perturbations of Hermitian matrices, Linear Algebra Appl., 195 (1993), pp. 81-116.
-
(1993)
Linear Algebra Appl
, vol.195
, pp. 81-116
-
-
VESELIĆ, K.1
SLAPNIČAR, I.2
|