-
2
-
-
0000188945
-
On the solution of block-tridiagonal systems arising from certain finite-difference equations
-
J.M. Varah On the solution of block-tridiagonal systems arising from certain finite-difference equations Math. Comp. 26 1972 859 868
-
(1972)
Math. Comp.
, vol.26
, pp. 859-868
-
-
Varah, J.M.1
-
3
-
-
0001634214
-
Marching algorithms for elliptic boundary value problems. I: The constant coefficient case
-
R.E. Bank, and D.J. Rose Marching algorithms for elliptic boundary value problems. I: the constant coefficient case SIAM J. Numer. Anal. 14 1977 792 829
-
(1977)
SIAM J. Numer. Anal.
, vol.14
, pp. 792-829
-
-
Bank, R.E.1
Rose, D.J.2
-
4
-
-
84974027213
-
The stability of LU-decompostions of block tridiagonal matrices
-
R.M.M. Mattheij The stability of LU-decompostions of block tridiagonal matrices Bull. Aust. Math. Soc. 29 1984 177 205
-
(1984)
Bull. Aust. Math. Soc.
, vol.29
, pp. 177-205
-
-
Mattheij, R.M.M.1
-
6
-
-
4043177134
-
Stability of the matrix factorization for solving block tridiagonal symmetric indefinite linear systems
-
J.-X. Zhao, W.-G. Wang, and W.-Q. Ren Stability of the matrix factorization for solving block tridiagonal symmetric indefinite linear systems BIT Numer. Math. 44 2004 181 188
-
(2004)
BIT Numer. Math.
, vol.44
, pp. 181-188
-
-
Zhao, J.-X.1
Wang, W.-G.2
Ren, W.-Q.3
-
8
-
-
0009961454
-
A stable method for the LU factorization for M-matrices
-
A.A. Ahac, and D.D. Olesky A stable method for the LU factorization for M-matrices SIAM J. Algebr. Discrete Methods 7 1986 368 378
-
(1986)
SIAM J. Algebr. Discrete Methods
, vol.7
, pp. 368-378
-
-
Ahac, A.A.1
Olesky, D.D.2
-
9
-
-
0345803967
-
A stable method for the incomplete factorization of H-matrices
-
J.J. Buoni A stable method for the incomplete factorization of H-matrices Linear Algebra Appl. 129 1990 143 154
-
(1990)
Linear Algebra Appl.
, vol.129
, pp. 143-154
-
-
Buoni, J.J.1
-
10
-
-
0003075960
-
Blocs H-matrices et convergence des mthodes iteratives classiques par blocs
-
F. Robert Blocs H-matrices et convergence des mthodes iteratives classiques par blocs Linear Algebra Appl. 2 1969 223 265
-
(1969)
Linear Algebra Appl.
, vol.2
, pp. 223-265
-
-
Robert, F.1
-
11
-
-
38249035396
-
Incomplete blockwise factorizations of (block) H-matrices
-
B. Polman Incomplete blockwise factorizations of (block) H-matrices Linear Algebra Appl. 90 1987 119 132
-
(1987)
Linear Algebra Appl.
, vol.90
, pp. 119-132
-
-
Polman, B.1
-
12
-
-
58149230988
-
Stability of block LU factorization for block tridiagonal matrices
-
C.-Y. Wu, and T.-Z. Huang Stability of block LU factorization for block tridiagonal matrices Comput. Math. Appl. 57 2009 339 347
-
(2009)
Comput. Math. Appl.
, vol.57
, pp. 339-347
-
-
Wu, C.-Y.1
Huang, T.-Z.2
-
13
-
-
0003193650
-
A new approach to the backward error analysis in the LU factorization algorithm
-
P. Amodio, and F. Mazzia A new approach to the backward error analysis in the LU factorization algorithm BIT 39 1999 385 402
-
(1999)
BIT
, vol.39
, pp. 385-402
-
-
Amodio, P.1
Mazzia, F.2
-
15
-
-
0012087149
-
LH and LU decompositions
-
LH and LU decompositions BIT Numer. Math. 31 1991 358 363
-
(1991)
BIT Numer. Math.
, vol.31
, pp. 358-363
-
-
Barrlund, A.1
-
16
-
-
21344485019
-
On the perturbation of LU, Cholesky, and QR factorizations
-
G.W. Stewart On the perturbation of LU, Cholesky, and QR factorizations SIAM J. Matrix Anal. Appl. 14 1993 1141 1145
-
(1993)
SIAM J. Matrix Anal. Appl.
, vol.14
, pp. 1141-1145
-
-
Stewart, G.W.1
-
17
-
-
0031512557
-
On the perturbation of LU and Cholesky factors
-
G.W. Stewart On the perturbation of LU and Cholesky factors IMA J. Numer. Anal. 17 1997 1 6
-
(1997)
IMA J. Numer. Anal.
, vol.17
, pp. 1-6
-
-
Stewart, G.W.1
-
19
-
-
18244385998
-
Stability and sensitivity of tridiagonal LU factorization without pivoting
-
DOI 10.1007/s10543-004-6025-7
-
M.I. Bueno, and F.M. Dopico Stability and sensitivity of tridiagonal LU factorization without pivoting BIT Numer. Math. 44 2004 651 673 (Pubitemid 40630135)
-
(2004)
BIT Numerical Mathematics
, vol.44
, Issue.4
, pp. 651-673
-
-
Bueno, M.I.1
Dopico, F.M.2
-
20
-
-
33646258011
-
Perturbation theory for factorizations of LU type through series expansions
-
F.M. Dopico, and J.M. Molera Perturbation theory for factorizations of LU type through series expansions SIAM J. Matrix Anal. Appl. 27 2005 561 581
-
(2005)
SIAM J. Matrix Anal. Appl.
, vol.27
, pp. 561-581
-
-
Dopico, F.M.1
Molera, J.M.2
-
21
-
-
0030531116
-
Stability of symmetric ill-conditioned systems arising in interior methods for constrained optimization
-
A. Forsgren, P.E. Gill, and J.R. Shinnerl Stability of symmetric ill-conditioned systems arising in interior methods for constrained optimization SIAM J. Matrix Anal. Appl. 17 1996 187 211
-
(1996)
SIAM J. Matrix Anal. Appl.
, vol.17
, pp. 187-211
-
-
Forsgren, A.1
Gill, P.E.2
Shinnerl, J.R.3
-
23
-
-
0000348697
-
On growth in Gaussian elimination with complete pivoting
-
N. Gould On growth in Gaussian elimination with complete pivoting SIAM J. Matrix Anal. Appl. 12 1991 354 361
-
(1991)
SIAM J. Matrix Anal. Appl.
, vol.12
, pp. 354-361
-
-
Gould, N.1
-
26
-
-
0012087577
-
Stability of a pivoting strategy for parallel Gaussian elimination
-
J.L. Mead, R.A. Renaut, and B.D. Welfert Stability of a pivoting strategy for parallel Gaussian elimination BIT 41 2001 633 639 (Pubitemid 33636122)
-
(2001)
BIT Numerical Mathematics
, vol.41
, Issue.3
, pp. 633-639
-
-
Mead, J.L.1
Renaut, R.A.2
Welfert, B.D.3
-
27
-
-
0142055265
-
Simultaneous backward stability of Gauss and GaussJordan elimination
-
J.M. Pea Simultaneous backward stability of Gauss and GaussJordan elimination Numer. Linear Algebra Appl. 10 2003 317 321
-
(2003)
Numer. Linear Algebra Appl.
, vol.10
, pp. 317-321
-
-
Pea, J.M.1
-
29
-
-
84971157125
-
On the Schur product of H-matrices and nonnegative matrices and related inequalities
-
M.S. Lynn On the Schur product of H-matrices and nonnegative matrices and related inequalities Proc. Camb. Phil. Soc. 60 1964 425 431
-
(1964)
Proc. Camb. Phil. Soc.
, vol.60
, pp. 425-431
-
-
Lynn, M.S.1
-
31
-
-
84972535723
-
Block diagonally dominant matrices and generalizations of the Gerschgorin circle theorem
-
D.G. Feingold, and R.S. Varga Block diagonally dominant matrices and generalizations of the Gerschgorin circle theorem Pacific J. Math. 12 1962 1241 1250
-
(1962)
Pacific J. Math.
, vol.12
, pp. 1241-1250
-
-
Feingold, D.G.1
Varga, R.S.2
-
32
-
-
0026913668
-
Stability of block algorithms with fast level-3 BLAS
-
J.W. Demmel, and N.J. Higham Stability of block algorithms with fast level-3 BLAS ACM Trans. Math. Softw. 18 1992 274 291
-
(1992)
ACM Trans. Math. Softw.
, vol.18
, pp. 274-291
-
-
Demmel, J.W.1
Higham, N.J.2
-
33
-
-
0025637437
-
Exploiting fast matrix multipication within the level 3 BLAS
-
N.J. Higham Exploiting fast matrix multipication within the level 3 BLAS ACM Trans. Math. Software 16 1990 352 368
-
(1990)
ACM Trans. Math. Software
, vol.16
, pp. 352-368
-
-
Higham, N.J.1
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