-
2
-
-
0000696639
-
The rate of convergence of the preconditioned conjugate gradient method
-
O. AXELSSON AND G. LINDSKÖG, The rate of convergence of the preconditioned conjugate gradient method, Numer. Math., 52 (1986), pp. 499-523.
-
(1986)
Numer. Math.
, vol.52
, pp. 499-523
-
-
Axelsson, O.1
Lindskög, G.2
-
3
-
-
21144460588
-
On a matrix algebra related to the discrete Hartley transform
-
D. BINI AND P. FAVATI, On a matrix algebra related to the discrete Hartley transform, SIAM J. Matrix Anal. Appl., 14 (1993), pp. 500-507.
-
(1993)
SIAM J. Matrix Anal. Appl.
, vol.14
, pp. 500-507
-
-
Bini, D.1
Favati, P.2
-
4
-
-
21844492426
-
On the use of certain matrix algebras associated with discrete trigonometric transforms in matrix displacement decomposition
-
E. BOZZO AND C. DI FIORE, On the use of certain matrix algebras associated with discrete trigonometric transforms in matrix displacement decomposition, SIAM J. Matrix Anal. Appl., 16 (1995), pp. 312-326.
-
(1995)
SIAM J. Matrix Anal. Appl.
, vol.16
, pp. 312-326
-
-
Bozzo, E.1
Di Fiore, C.2
-
5
-
-
0030246195
-
Conjugate gradient methods for Toeplitz systems
-
R. H. CHAN AND M. K. NG, Conjugate gradient methods for Toeplitz systems, SIAM Rev., 38 (1996), pp. 427-482.
-
(1996)
SIAM Rev.
, vol.38
, pp. 427-482
-
-
Chan, R.H.1
Ng, M.K.2
-
6
-
-
0001646777
-
Toeplitz equations by conjugate gradients with circulant preconditioner
-
R. H. CHAN AND G. STRANG, Toeplitz equations by conjugate gradients with circulant preconditioner, SIAM J. Sci. Statist. Comput., 10 (1989), pp. 104-119.
-
(1989)
SIAM J. Sci. Statist. Comput.
, vol.10
, pp. 104-119
-
-
Chan, R.H.1
Strang, G.2
-
7
-
-
84968515314
-
Circulant preconditioners for Toeplitz matrices with positive continuous generating functions
-
R. H. CHAN AND M. C. YEUNG, Circulant preconditioners for Toeplitz matrices with positive continuous generating functions, Math. Comp., 58 (1992), pp. 233-240.
-
(1992)
Math. Comp.
, vol.58
, pp. 233-240
-
-
Chan, R.H.1
Yeung, M.C.2
-
8
-
-
0000853646
-
An optimal circulant preconditioner for Toeplitz systems
-
T. F. CHAN, An optimal circulant preconditioner for Toeplitz systems, SIAM J. Sci. Statist. Comput., 9 (1988), pp. 766-771.
-
(1988)
SIAM J. Sci. Statist. Comput.
, vol.9
, pp. 766-771
-
-
Chan, T.F.1
-
9
-
-
0000261363
-
Analysis of preconditioning techniques for ill-conditioned Toeplitz matrices
-
F. DI BENEDETTO, Analysis of preconditioning techniques for ill-conditioned Toeplitz matrices, SIAM J. Sci. Comput., 16 (1995), pp. 682-697.
-
(1995)
SIAM J. Sci. Comput.
, vol.16
, pp. 682-697
-
-
Di Benedetto, F.1
-
10
-
-
0031082706
-
Preconditioning of block Toeplitz matrices by sine transforms
-
F. DI BENEDETTO, Preconditioning of block Toeplitz matrices by sine transforms, SIAM J. Sci. Comput., 18 (1997), pp. 499-515.
-
(1997)
SIAM J. Sci. Comput.
, vol.18
, pp. 499-515
-
-
Di Benedetto, F.1
-
11
-
-
0039447646
-
A unifying approach to abstract matrix algebra preconditioning
-
F. DI BENEDETTO AND S. SERRA CAPIZZANO, A unifying approach to abstract matrix algebra preconditioning, Numer. Math., 82 (1999), pp. 57-90.
-
(1999)
Numer. Math.
, vol.82
, pp. 57-90
-
-
Di Benedetto, F.1
Serra Capizzano, S.2
-
13
-
-
0003076057
-
Hartley preconditioners for Toeplitz systems generated by positive continuous functions
-
X. A. JIN, Hartley preconditioners for Toeplitz systems generated by positive continuous functions, BIT, 34 (1994), pp. 367-371.
-
(1994)
BIT
, vol.34
, pp. 367-371
-
-
Jin, X.A.1
-
14
-
-
0029715230
-
Displacement structure approach to discrete-trigonometric-transform based preconditioners of G. Strang type and T. Chan type
-
T. KAILATH AND V. OLSHEVSKY, Displacement structure approach to discrete-trigonometric-transform based preconditioners of G. Strang type and T. Chan type, Calcolo, 33 (1996), pp. 191-208.
-
(1996)
Calcolo
, vol.33
, pp. 191-208
-
-
Kailath, T.1
Olshevsky, V.2
-
15
-
-
0000504541
-
On the spectrum of a family of preconditioned block Toeplitz matrices
-
T. KU AND C.-C. JAY KUO, On the spectrum of a family of preconditioned block Toeplitz matrices, SIAM J. Sci. Stat. Comput., 13 (1992), pp. 948-966.
-
(1992)
SIAM J. Sci. Stat. Comput.
, vol.13
, pp. 948-966
-
-
Ku, T.1
Jay Kuo, C.-C.2
-
16
-
-
0041154571
-
Band preconditioners for block-Toeplitz-Toeplitz-block systems
-
M. NG, Band preconditioners for block-Toeplitz-Toeplitz-block systems, Linear Algebra Appl., 259 (1997), pp. 307-327.
-
(1997)
Linear Algebra Appl.
, vol.259
, pp. 307-327
-
-
Ng, M.1
-
17
-
-
20744448636
-
Preconditioning strategies for asymptotically ill-conditioned block Toeplitz systems
-
S. SERRA, Preconditioning strategies for asymptotically ill-conditioned block Toeplitz systems, BIT, 34 (1994), pp. 579-594.
-
(1994)
BIT
, vol.34
, pp. 579-594
-
-
Serra, S.1
-
18
-
-
0030520048
-
Preconditioning strategies for Hermitian Toeplitz systems with nondefinite generating junctions
-
S. SERRA, Preconditioning strategies for Hermitian Toeplitz systems with nondefinite generating junctions, SIAM J. Matrix Anal. Appl., 17 (1996), pp. 1007-1019.
-
(1996)
SIAM J. Matrix Anal. Appl.
, vol.17
, pp. 1007-1019
-
-
Serra, S.1
-
19
-
-
0039758357
-
Optimal, quasi-optimal and superlinear band-Toeplitz preconditioners for asymptotically ill-conditioned positive definite Toeplitz systems
-
S. SERRA, Optimal, quasi-optimal and superlinear band-Toeplitz preconditioners for asymptotically ill-conditioned positive definite Toeplitz systems, Math. Comp., 66 (1997), pp. 651-665.
-
(1997)
Math. Comp.
, vol.66
, pp. 651-665
-
-
Serra, S.1
-
20
-
-
0033446353
-
Superlinear PCG methods for symmetric Toeplitz systems
-
S. SERRA, Superlinear PCG methods for symmetric Toeplitz systems, Math. Comp., 88 (1999), pp. 793-803.
-
(1999)
Math. Comp.
, vol.88
, pp. 793-803
-
-
Serra, S.1
-
21
-
-
0033445967
-
A Korovkin-type theory for finite Toeplitz operators via matrix algebras
-
S. SERRA, A Korovkin-type theory for finite Toeplitz operators via matrix algebras, Numer. Math., 82 (1999), pp. 117-142.
-
(1999)
Numer. Math.
, vol.82
, pp. 117-142
-
-
Serra, S.1
-
22
-
-
0033480798
-
The rate of convergence of Toeplitz based PCG methods for second order nonlinear boundary value problems
-
S. SERRA, The rate of convergence of Toeplitz based PCG methods for second order nonlinear boundary value problems, Numer. Math., 81 (1999), pp. 461-495.
-
(1999)
Numer. Math.
, vol.81
, pp. 461-495
-
-
Serra, S.1
-
23
-
-
0032216890
-
Toeplitz preconditioners constructed from linear approximation processes
-
S. SERRA CAPIZZANO, Toeplitz preconditioners constructed from linear approximation processes, SIAM J. Matrix Anal. Appl., 20 (1998), pp. 446-465.
-
(1998)
SIAM J. Matrix Anal. Appl.
, vol.20
, pp. 446-465
-
-
Serra Capizzano, S.1
-
24
-
-
0000935389
-
Korovkin theorems and linear positive gram matrix algebras approximation of Toeplitz matrices
-
S. SERRA CAPIZZANO, Korovkin theorems and linear positive Gram matrix algebras approximation of Toeplitz matrices, Linear Algebra Appl., 284 (1998), pp. 307-334.
-
(1998)
Linear Algebra Appl.
, vol.284
, pp. 307-334
-
-
Serra Capizzano, S.1
-
25
-
-
0008465849
-
Spectral and structural analysis of high precision finite difference matrices for elliptic operators
-
S. SERRA CAPIZZANO AND C. TABLINO POSSIO, Spectral and structural analysis of high precision finite difference matrices for elliptic operators, Linear Algebra Appl., 293 (1999), pp. 85-131.
-
(1999)
Linear Algebra Appl.
, vol.293
, pp. 85-131
-
-
Serra Capizzano, S.1
Possio, C.T.2
-
26
-
-
0032599419
-
Extreme singular values and eigenvalues of non-Hermitian block Toeplitz matrices
-
S. SERRA CAPIZZANO AND P. TILLI, Extreme singular values and eigenvalues of non-Hermitian block Toeplitz matrices, J. Comput. Appl. Math., 108 (1999), pp. 113-130.
-
(1999)
J. Comput. Appl. Math.
, vol.108
, pp. 113-130
-
-
Serra Capizzano, S.1
Tilli, P.2
-
27
-
-
0001403122
-
The rate of convergence of conjugate gradients
-
A. VAN DER SLUIS AND H. A. VAN DER VORST, The rate of convergence of conjugate gradients, Numer. Math., 48 (1986), pp. 543-560.
-
(1986)
Numer. Math.
, vol.48
, pp. 543-560
-
-
Van Der Sluis, A.1
Van Der Vorst, H.A.2
-
28
-
-
0030356143
-
Which circulant preconditioner is better?
-
V. STRELA AND E. TYRTYSHNIKOV, Which circulant preconditioner is better?, Math. Comp., 65 (1996), pp. 137-150.
-
(1996)
Math. Comp.
, vol.65
, pp. 137-150
-
-
Strela, V.1
Tyrtyshnikov, E.2
-
29
-
-
0000415943
-
Optimal and superoptimal circulant preconditioners
-
E. E. TYRTYSHNIKOV, Optimal and superoptimal circulant preconditioners, SIAM J. Matrix Anal. Appl., 13 (1992), pp. 459-473.
-
(1992)
SIAM J. Matrix Anal. Appl.
, vol.13
, pp. 459-473
-
-
Tyrtyshnikov, E.E.1
-
30
-
-
0039480616
-
Circulant preconditioners with unbounded inverses
-
E. TYRTYSHNIKOV, Circulant preconditioners with unbounded inverses, Linear Algebra Appl., 216 (1995), pp. 1-23.
-
(1995)
Linear Algebra Appl.
, vol.216
, pp. 1-23
-
-
Tyrtyshnikov, E.1
-
31
-
-
3042570112
-
A unifying approach to some old and new theorems on distribution and clustering
-
E. TYRTYSHNIKOV, A unifying approach to some old and new theorems on distribution and clustering, Linear Algebra Appl., 232 (1996), pp. 1-43.
-
(1996)
Linear Algebra Appl.
, vol.232
, pp. 1-43
-
-
Tyrtyshnikov, E.1
-
32
-
-
0039504238
-
Clusters, preconditioners, convergence
-
E. TYRTYSHNIKOV, A. YEREMIN, AND N. ZAMARASHKIN, Clusters, preconditioners, convergence, Linear Algebra Appl., 263 (1997), pp. 25-48.
-
(1997)
Linear Algebra Appl.
, vol.263
, pp. 25-48
-
-
Tyrtyshnikov, E.1
Yeremin, A.2
Zamarashkin, N.3
-
34
-
-
0042855353
-
Spectra of multilevel Toeplitz matrices: Advanced theory via simple matrix relationships
-
E. TYRTYSHNIKOV AND N. ZAMARASHKIN, Spectra of multilevel Toeplitz matrices: Advanced theory via simple matrix relationships, Linear Algebra Appl., 270 (1998), pp. 15-27.
-
(1998)
Linear Algebra Appl.
, vol.270
, pp. 15-27
-
-
Tyrtyshnikov, E.1
Zamarashkin, N.2
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