-
1
-
-
0031542263
-
On multisplitting methods for band matrices
-
G. ALEFELD, I. LENHARDT, AND G. MAYER, On multisplitting methods for band matrices, Numer. Math., 75 (1997), pp. 267-292.
-
(1997)
Numer. Math.
, vol.75
, pp. 267-292
-
-
Alefeld, G.1
Lenhardt, I.2
Mayer, G.3
-
2
-
-
0030171552
-
The monotone convergence of a class of parallel nonlinear relaxation methods for nonlinear complementarity problems
-
Z.-Z. BAI, The monotone convergence of a class of parallel nonlinear relaxation methods for nonlinear complementarity problems, Comput. Math. Appl., 31 (1996), pp. 17-33.
-
(1996)
Comput. Math. Appl.
, vol.31
, pp. 17-33
-
-
Bai, Z.-Z.1
-
3
-
-
0007202319
-
The monotone convergence rate of the parallel nonlinear AOR method
-
Z.-Z. BAI, The monotone convergence rate of the parallel nonlinear AOR method, Comput. Math. Appl., 31 (1996), pp. 1-8.
-
(1996)
Comput. Math. Appl.
, vol.31
, pp. 1-8
-
-
Bai, Z.-Z.1
-
4
-
-
0030257649
-
A class of parallel nonlinear multisplitting relaxation methods for the large sparse nonlinear complementarity problems
-
Z.-Z. BAI AND D. WANG, A class of parallel nonlinear multisplitting relaxation methods for the large sparse nonlinear complementarity problems, Comput. Math. Appl., 32 (1996), pp. 79-95.
-
(1996)
Comput. Math. Appl.
, vol.32
, pp. 79-95
-
-
Bai, Z.-Z.1
Wang, D.2
-
5
-
-
0031485176
-
Existence and uniqueness of splittings for stationary iterative methods with applications to alternating methods
-
M. BENZI AND D. B. SZYLD, Existence and uniqueness of splittings for stationary iterative methods with applications to alternating methods, Numer. Math., 76 (1997), pp. 309-321.
-
(1997)
Numer. Math.
, vol.76
, pp. 309-321
-
-
Benzi, M.1
Szyld, D.B.2
-
6
-
-
0003270351
-
Nonnegative matrices in the Mathematical Sciences
-
SIAM, Philadelphia
-
A. BERMAN AND B. PLEMMONS, Nonnegative Matrices in the Mathematical Sciences, Classics Appl. Math. 9, SIAM, Philadelphia, 1994.
-
(1994)
Classics Appl. Math.
, vol.9
-
-
Berman, A.1
Plemmons, B.2
-
8
-
-
0001916188
-
Infinite products and paracontracting matrices
-
W.-J. BEYN AND L. ELSNER, Infinite products and paracontracting matrices, Electron. J. Linear Algebra, 2 (1997), pp. 1-8.
-
(1997)
Electron. J. Linear Algebra
, vol.2
, pp. 1-8
-
-
Beyn, W.-J.1
Elsner, L.2
-
9
-
-
21844509663
-
Multisplitting preconditioners based on incomplete Choleski factorizations
-
R. BRU, C. CORRAL, A. MARTÍNEZ, AND J. MAS, Multisplitting preconditioners based on incomplete Choleski factorizations, SIAM J. Matrix Anal. Appl., 16 (1995), pp. 1210-1222.
-
(1995)
SIAM J. Matrix Anal. Appl.
, vol.16
, pp. 1210-1222
-
-
Bru, R.1
Corral, C.2
Martínez, A.3
J, M.A.S.4
-
10
-
-
38249029733
-
Models of parallel chaotic iteration methods
-
R. BRU, L. ELSNER, AND M. NEUMANN, Models of parallel chaotic iteration methods, Linear Algebra Appl., 103 (1988), pp. 175-192.
-
(1988)
Linear Algebra Appl.
, vol.103
, pp. 175-192
-
-
Bru, R.1
Elsner, L.2
Neumann, M.3
-
11
-
-
0000441576
-
Convergence of infinite products of matrices and inner-outer iteration schemes
-
R. BRU, L. ELSNER, AND M. NEUMANN, Convergence of infinite products of matrices and inner-outer iteration schemes, Electron. Trans. Numer. Anal., 2 (1994), pp. 183-193.
-
(1994)
Electron. Trans. Numer. Anal.
, vol.2
, pp. 183-193
-
-
Bru, R.1
Elsner, L.2
Neumann, M.3
-
12
-
-
0003159321
-
Parallel, synchronous and asynchronous two-stage multisplitting methods
-
R. BRU, V. MIGALLÓN, J. PENADES, AND D. B. SZYLD, Parallel, synchronous and asynchronous two-stage multisplitting methods, Electron. Trans. Numer. Anal., 3 (1995), pp. 24-38.
-
(1995)
Electron. Trans. Numer. Anal.
, vol.3
, pp. 24-38
-
-
Bru, R.1
Migallón, V.2
Penades, J.3
Szyld, D.B.4
-
13
-
-
0001450532
-
Comparisons of weak regular splittings and multisplitting methods
-
L. ELSNER, Comparisons of weak regular splittings and multisplitting methods, Numer. Math., 56 (1989), pp. 283-289.
-
(1989)
Numer. Math.
, vol.56
, pp. 283-289
-
-
Elsner, L.1
-
14
-
-
0007264047
-
On the convergence of asynchronous paracontractions with applications to tomographic reconstruction from incomplete data
-
L. ELSNER, I. KOLTRACHT, AND M. NEUMANN, On the convergence of asynchronous paracontractions with applications to tomographic reconstruction from incomplete data, Linear Algebra Appl., 130 (1990), pp. 65-82.
-
(1990)
Linear Algebra Appl.
, vol.130
, pp. 65-82
-
-
Elsner, L.1
Koltracht, I.2
Neumann, M.3
-
15
-
-
0000695406
-
Convergence of sequential and asynchronous nonlinear paracontractions
-
L. ELSNER, I. KOLTRACHT, AND M. NEUMANN, Convergence of sequential and asynchronous nonlinear paracontractions, Numer. Math., 62 (1992), pp. 305-319.
-
(1992)
Numer. Math.
, vol.62
, pp. 305-319
-
-
Elsner, L.1
Koltracht, I.2
Neumann, M.3
-
16
-
-
0007200298
-
Parallel nonlinear multisplitting methods
-
A. FROMMER, Parallel nonlinear multisplitting methods, Numer. Math., 56 (1989), pp. 269-282.
-
(1989)
Numer. Math.
, vol.56
, pp. 269-282
-
-
Frommer, A.1
-
17
-
-
0000966401
-
Parallel interval multisplittings
-
A. FROMMER AND G. MAYER, Parallel interval multisplittings, Numer. Math., 56 (1989), pp. 255-267.
-
(1989)
Numer. Math.
, vol.56
, pp. 255-267
-
-
Frommer, A.1
Mayer, G.2
-
18
-
-
0007265435
-
Safe bounds for the solutions of nonlinear problems using a parallel multisplitting method
-
A. FROMMER AND G. MAYER, Safe bounds for the solutions of nonlinear problems using a parallel multisplitting method, Computing, 42 (1989), pp. 171-186.
-
(1989)
Computing
, vol.42
, pp. 171-186
-
-
Frommer, A.1
Mayer, G.2
-
19
-
-
84985372550
-
A comparison result for multisplittings and waveform relaxation methods
-
A. FROMMER AND B. POHL, A comparison result for multisplittings and waveform relaxation methods, Numer. Linear Algebra Appl., 2 (1995), pp. 335-346.
-
(1995)
Numer. Linear Algebra Appl.
, vol.2
, pp. 335-346
-
-
Frommer, A.1
Pohl, B.2
-
20
-
-
0031497209
-
A unified representation and theory of algebraic additive Schwarz and multisplitting methods
-
A. FROMMER AND H. SCHWANDT, A unified representation and theory of algebraic additive Schwarz and multisplitting methods, SIAM J. Matrix Anal. Appl., 18 (1997), pp. 893-912.
-
(1997)
SIAM J. Matrix Anal. Appl.
, vol.18
, pp. 893-912
-
-
Frommer, A.1
Schwandt, H.2
-
21
-
-
0002504054
-
Asynchronous weighted additive Schwarz methods
-
A. FROMMER, H. SCHWANDT, AND D. B. SZYLD, Asynchronous weighted additive Schwarz methods, Electron. Trans. Numer. Anal., 5 (1997), pp. 48-61.
-
(1997)
Electron. Trans. Numer. Anal.
, vol.5
, pp. 48-61
-
-
Frommer, A.1
Schwandt, H.2
Szyld, D.B.3
-
22
-
-
77749268446
-
Asynchronous two-stage iterative methods
-
A. FROMMER AND D. B. SZYLD, Asynchronous two-stage iterative methods, Numer. Math., 69 (1994), pp. 141-153.
-
(1994)
Numer. Math.
, vol.69
, pp. 141-153
-
-
Frommer, A.1
Szyld, D.B.2
-
23
-
-
0041539540
-
Some notes on multisplitting methods and m-step preconditioners for linear systems
-
A. HADJIDIMOS AND A. K. YEYIOS, Some notes on multisplitting methods and m-step preconditioners for linear systems, Linear Algebra Appl., 248 (1996), pp. 277-301.
-
(1996)
Linear Algebra Appl.
, vol.248
, pp. 277-301
-
-
Hadjidimos, A.1
Yeyios, A.K.2
-
24
-
-
38248998904
-
A Krylov multisplitting algorithm for solving linear systems of equations
-
C.-M. HUANG AND D. P. O'LEARY, A Krylov multisplitting algorithm for solving linear systems of equations, Linear Algebra Appl., (1993), pp. 9-29.
-
(1993)
Linear Algebra Appl.
, pp. 9-29
-
-
Huang, C.-M.1
O'Leary, D.P.2
-
25
-
-
21344458136
-
Two-stage multisplitting methods with overlapping blocks
-
M. T. JONES AND D. B. SZYLD, Two-stage multisplitting methods with overlapping blocks, Numer. Linear Algebra Appl., 3 (1996), pp. 113-124.
-
(1996)
Numer. Linear Algebra Appl.
, vol.3
, pp. 113-124
-
-
Jones, M.T.1
Szyld, D.B.2
-
26
-
-
0001172159
-
Consistency and convergence of the parallel multisplitting method for singular M-matrices
-
J. P. KAVANAGH AND M. NEUMANN, Consistency and convergence of the parallel multisplitting method for singular M-matrices, SIAM J. Matrix Anal. Appl., 10 (1989), pp. 210-218.
-
(1989)
SIAM J. Matrix Anal. Appl.
, vol.10
, pp. 210-218
-
-
Kavanagh, J.P.1
Neumann, M.2
-
27
-
-
0022506289
-
A chaotic asynchronous algorithm for computing the fixed point of a nonnegative matrix of unit spectral radius
-
B. LUBACHEVSKY AND D. MITRA, A chaotic asynchronous algorithm for computing the fixed point of a nonnegative matrix of unit spectral radius, J. Assoc. Comput. Mach., 33 (1985), pp. 130-150.
-
(1985)
J. Assoc. Comput. Mach.
, vol.33
, pp. 130-150
-
-
Lubachevsky, B.1
Mitra, D.2
-
28
-
-
0001399082
-
A multisplitting method for symmetric linear complementarity problems
-
N. MACHIDA, M. FUKUSHIMA, AND T. IBARAKI, A multisplitting method for symmetric linear complementarity problems, J. Assoc. Comput. Mach., 62 (1995), pp. 217-227.
-
(1995)
J. Assoc. Comput. Mach.
, vol.62
, pp. 217-227
-
-
Machida, N.1
Fukushima, M.2
Ibaraki, T.3
-
29
-
-
84968487196
-
Iterative and semi-iterative methods for computing stationary probability vectors of Markov operators
-
I. MAREK AND D. B. SZYLD, Iterative and semi-iterative methods for computing stationary probability vectors of Markov operators, Math. Comp., 61 (1993), pp. 719-731.
-
(1993)
Math. Comp.
, vol.61
, pp. 719-731
-
-
Marek, I.1
Szyld, D.B.2
-
30
-
-
21444445163
-
Block two-stage methods for singular systems and Markov chains
-
V. MIGALLÓN, J. PENADES, AND D. B. SZYLD, Block two-stage methods for singular systems and Markov chains, Numer. Linear Algebra Appl., 3 (1996), pp. 413-426.
-
(1996)
Numer. Linear Algebra Appl.
, vol.3
, pp. 413-426
-
-
Migallón, V.1
Penades, J.2
Szyld, D.B.3
-
31
-
-
0041046216
-
A note on comparison theorems for splittings and multisplittings of Hermitian positive definite matrices
-
R. NABBEN, A note on comparison theorems for splittings and multisplittings of Hermitian positive definite matrices, Linear Algebra Appl., 233 (1996), pp. 67-80.
-
(1996)
Linear Algebra Appl.
, vol.233
, pp. 67-80
-
-
Nabben, R.1
-
32
-
-
0007326895
-
Generalization of the projection method with applications to SOR method for Hermitian positive semidefinite linear systems
-
S. NELSON AND M. NEUMANN, Generalization of the projection method with applications to SOR method for Hermitian positive semidefinite linear systems, Numer. Math., 51 (1987), pp. 123-141.
-
(1987)
Numer. Math.
, vol.51
, pp. 123-141
-
-
Nelson, S.1
Neumann, M.2
-
33
-
-
38249035391
-
Convergence of parallel multisplitting iterative methods for M-matrices
-
M. NEUMANN AND R. J. PLEMMONS, Convergence of parallel multisplitting iterative methods for M-matrices, Linear Algebra Appl., 88/89 (1987), pp. 559-573.
-
(1987)
Linear Algebra Appl.
, vol.88-89
, pp. 559-573
-
-
Neumann, M.1
Plemmons, R.J.2
-
34
-
-
0001324833
-
Multisplittings of matrices and parallel solution of linear systems
-
D. P. O'LEARY AND R. E. WHITE, Multisplittings of matrices and parallel solution of linear systems, SIAM J. Algebraic Discrete Methods, 6 (1985), pp. 630-640.
-
(1985)
SIAM J. Algebraic Discrete Methods
, vol.6
, pp. 630-640
-
-
O'Leary, D.P.1
White, R.E.2
-
35
-
-
0041020502
-
On the convergence of asynchronous iteration methods for nonlinear paracontractions and consistent linear systems
-
M. POTT, On the convergence of asynchronous iteration methods for nonlinear paracontractions and consistent linear systems, Linear Algebra Appl., 283 (1998), pp. 1-33.
-
(1998)
Linear Algebra Appl.
, vol.283
, pp. 1-33
-
-
Pott, M.1
-
36
-
-
0000994003
-
Theorems on M-splittings of a singular M-matrix which depend on graph structure
-
H. SCHNEIDER, Theorems on M-splittings of a singular M-matrix which depend on graph structure, Linear Algebra Appl., 58 (1984), pp. 407-424.
-
(1984)
Linear Algebra Appl.
, vol.58
, pp. 407-424
-
-
Schneider, H.1
-
37
-
-
0002701263
-
On the convergence of relaxed parallel chaotic iterations for H-matrix
-
Y. SONG AND D. YUAN, On the convergence of relaxed parallel chaotic iterations for H-matrix, Int. J. Comput. Math., 52 (1994), pp. 195-209.
-
(1994)
Int. J. Comput. Math.
, vol.52
, pp. 195-209
-
-
Song, Y.1
Yuan, D.2
-
38
-
-
0030549751
-
Generalized multisplitting asynchronous iteration
-
Y. SU, Generalized multisplitting asynchronous iteration, Linear Algebra Appl., 235 (1996), pp. 77-92.
-
(1996)
Linear Algebra Appl.
, vol.235
, pp. 77-92
-
-
Su, Y.1
-
39
-
-
0007201253
-
A model for parallel multisplitting chaotic iterations
-
in Chinese
-
Y. SU AND S. ZHU, A model for parallel multisplitting chaotic iterations, J. Fudan Univ. Natur. Sci., 30 (1991), pp. 444-450 (in Chinese).
-
(1991)
J. Fudan Univ. Natur. Sci.
, vol.30
, pp. 444-450
-
-
Su, Y.1
S, Z.H.U.2
-
40
-
-
0000062086
-
Two-stage and multisplitting methods for the parallel solution of linear systems
-
D. B. SZYLD AND M. T. JONES, Two-stage and multisplitting methods for the parallel solution of linear systems, SIAM J. Matrix Anal. Appl, 13 (1992), pp. 671-679.
-
(1992)
SIAM J. Matrix Anal. Appl
, vol.13
, pp. 671-679
-
-
Szyld, D.B.1
Jones, M.T.2
-
41
-
-
0025430267
-
Partially asynchronous, parallel algorithms for network flow and other problems
-
P. TSENG, D. BERTSEKAS, AND J. TSITSIKLIS, Partially asynchronous, parallel algorithms for network flow and other problems, SIAM J. Control Optim., 28 (1990), pp. 678-710.
-
(1990)
SIAM J. Control Optim.
, vol.28
, pp. 678-710
-
-
Tseng, P.1
Bertsekas, D.2
Tsitsiklis, J.3
-
43
-
-
0001345523
-
On the convergence of the parallel multisplitting AOR algorithm
-
D. WANG, On the convergence of the parallel multisplitting AOR algorithm, Linear Algebra Appl., 154/156 (1991), pp. 473-486.
-
(1991)
Linear Algebra Appl.
, vol.154-156
, pp. 473-486
-
-
Wang, D.1
-
44
-
-
0001926517
-
Multisplitting of a symmetric positive definite matrix
-
R. E. WHITE, Multisplitting of a symmetric positive definite matrix, SIAM J. Matrix Anal. Appl., 11 (1990), pp. 69-82.
-
(1990)
SIAM J. Matrix Anal. Appl.
, vol.11
, pp. 69-82
-
-
White, R.E.1
|