-
1
-
-
0000696639
-
The rate of convergence of the preconditioned conjugate gradient method
-
O. Axelsson, G. Lindskög, The rate of convergence of the preconditioned conjugate gradient method, Numer. Math. 52 (1986) 499-523.
-
(1986)
Numer. Math.
, vol.52
, pp. 499-523
-
-
Axelsson, O.1
Lindskög, G.2
-
2
-
-
0002887353
-
Spectral and computational properties of band symmetric Toeplitz matrices
-
D. Bini, M. Capovani, Spectral and computational properties of band symmetric Toeplitz matrices, Linear Algebra Appl. 52/53 (1983) 99-126.
-
(1983)
Linear Algebra Appl.
, vol.52-53
, pp. 99-126
-
-
Bini, D.1
Capovani, M.2
-
3
-
-
0025657332
-
A new preconditioner for the parallel solution of positive definite Toeplitz linear systems
-
Crete, Greece
-
D. Bini, F. Di Benedetto, A new preconditioner for the parallel solution of positive definite Toeplitz linear systems, in: Proceedings of the Second SPAA Conference, Crete, Greece, 1990, pp. 220-223.
-
(1990)
Proceedings of the Second SPAA Conference
, pp. 220-223
-
-
Bini, D.1
Di Benedetto, F.2
-
4
-
-
21144460588
-
On a matrix algebra related to the discrete Hartley transform
-
D. Bini, P. Favati, On a matrix algebra related to the discrete Hartley transform, SIAM J. Matrix Anal. Appl. 14 (1993) 500-507.
-
(1993)
SIAM J. Matrix Anal. Appl.
, vol.14
, pp. 500-507
-
-
Bini, D.1
Favati, P.2
-
5
-
-
0042565918
-
Effective methods for solving banded Toeplitz systems
-
Invited lecture, Minisymposium on Toeplitz solvers - SIAM annual meeting, Stanford, CA, in press
-
D. Bini, B, Meini, Effective methods for solving banded Toeplitz systems, in: Invited lecture, Minisymposium on Toeplitz solvers - SIAM annual meeting, Stanford, CA, 1997, SIAM J. Matrix Anal. Appl., in press.
-
(1997)
SIAM J. Matrix Anal. Appl.
-
-
Bini, D.1
Meini, B.2
-
6
-
-
0001090278
-
Toeplitz preconditioners for Toeplitz systems with nonnegative generating functions
-
R.H. Chan, Toeplitz preconditioners for Toeplitz systems with nonnegative generating functions, IMA J. Numer. Anal 11 (1991) 333-345.
-
(1991)
IMA J. Numer. Anal
, vol.11
, pp. 333-345
-
-
Chan, R.H.1
-
7
-
-
0002520370
-
The circulant operator in the Banach algebra of matrices
-
R.H. Chan, X. Jin, M.C. Yeung, The circulant operator in the Banach algebra of matrices, Linear Algebra Appl. 149 (1991) 41-53.
-
(1991)
Linear Algebra Appl.
, vol.149
, pp. 41-53
-
-
Chan, R.H.1
Jin, X.2
Yeung, M.C.3
-
8
-
-
0345910458
-
Circulant preconditioned Toeplitz least squares iterations
-
R.H. Chan, J. Nagy, R. Plemmons, Circulant preconditioned Toeplitz least squares iterations, SIAM J. Matrix Anal. Appl. 15 (1994) 80-97.
-
(1994)
SIAM J. Matrix Anal. Appl.
, vol.15
, pp. 80-97
-
-
Chan, R.H.1
Nagy, J.2
Plemmons, R.3
-
9
-
-
0030246195
-
Conjugate gradient methods for Toeplitz systems
-
R.H. Chan, M. Ng, Conjugate gradient methods for Toeplitz systems, SIAM Rev. 38 (1996) 427-482.
-
(1996)
SIAM Rev.
, vol.38
, pp. 427-482
-
-
Chan, R.H.1
Ng, M.2
-
10
-
-
84968515314
-
Circulant preconditioners for Toeplitz matrices with positive continuous generating functions
-
R.H. Chan, M.C. Yeung, Circulant preconditioners for Toeplitz matrices with positive continuous generating functions, Math. Comp. 58 (1992) 233-240.
-
(1992)
Math. Comp.
, vol.58
, pp. 233-240
-
-
Chan, R.H.1
Yeung, M.C.2
-
11
-
-
0026908109
-
Circulant preconditioners constructed from kernels
-
R.H. Chan, M.C. Yeung, Circulant preconditioners constructed from kernels, SIAM J. Numer. Anal. 29 (1992) 1093-1103.
-
(1992)
SIAM J. Numer. Anal.
, vol.29
, pp. 1093-1103
-
-
Chan, R.H.1
Yeung, M.C.2
-
12
-
-
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) 766-771.
-
(1988)
SIAM J. Sci. Statist. Comput.
, vol.9
, pp. 766-771
-
-
Chan, T.F.1
-
14
-
-
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) 682-697.
-
(1995)
SIAM J. Sci. Comput.
, vol.16
, pp. 682-697
-
-
Di Benedetto, F.1
-
15
-
-
84923732006
-
A unifying approach to abstract matrix algebra preconditioning
-
in press
-
F. Di Benedetto, S. Serra Capizzano, A unifying approach to abstract matrix algebra preconditioning, Numer. Math., in press.
-
Numer. Math.
-
-
Di Benedetto, F.1
Serra Capizzano, S.2
-
16
-
-
0003658958
-
-
TR 360, Department of Mathematics, University of Genova, submitted
-
F. Di Benedetto, S. Serra Capizzano, Optimal and superoptimal matrix algebra operators, TR 360, Department of Mathematics, University of Genova, submitted.
-
Optimal and Superoptimal Matrix Algebra Operators
-
-
Di Benedetto, F.1
Serra Capizzano, S.2
-
17
-
-
51249172268
-
Multigrid methods for Toeplitz matrices
-
G. Fiorentino, S. Serra, Multigrid methods for Toeplitz matrices, Calcolo 28 (1991) 283-305.
-
(1991)
Calcolo
, vol.28
, pp. 283-305
-
-
Fiorentino, G.1
Serra, S.2
-
18
-
-
0001415134
-
The condition of Vandermonde-like matrices involving orthogonal polynomials
-
W. Gautschi, The condition of Vandermonde-like matrices involving orthogonal polynomials, Linear Algebra Appl. 52/53 (1983) 293-300.
-
(1983)
Linear Algebra Appl.
, vol.52-53
, pp. 293-300
-
-
Gautschi, W.1
-
19
-
-
0003267923
-
Convolution equations and projection methods for their solution
-
American Mathematical Society, Providence, RI
-
I. Gohberg, I. Fel'dman, Convolution equations and projection methods for their solution, Trans. Math. Monographs, vol. 41, American Mathematical Society, Providence, RI, 1974.
-
(1974)
Trans. Math. Monographs
, vol.41
-
-
Gohberg, I.1
Fel'dman, I.2
-
20
-
-
0004236492
-
-
Johns Hopkins University Press, Baltimore, MD
-
G.H. Golub, C.F. Van Loan, Matrix Computations, Johns Hopkins University Press, Baltimore, MD, 1983.
-
(1983)
Matrix Computations
-
-
Golub, G.H.1
Van Loan, C.F.2
-
21
-
-
84964927565
-
-
Chelsea, New York
-
U. Grenander, G. Szegö, Toeplitz Forms and their Applications, 2nd ed., Chelsea, New York, 1984.
-
(1984)
Toeplitz Forms and Their Applications, 2nd Ed.
-
-
Grenander, U.1
Szegö, G.2
-
22
-
-
0000137080
-
Restoration of atmospherically blurred images by symmetric indefinite conjugate gradient techniques
-
M. Hanke, J, Nagy, Restoration of atmospherically blurred images by symmetric indefinite conjugate gradient techniques, Inverse Problems 12 (1996) 157-173.
-
(1996)
Inverse Problems
, vol.12
, pp. 157-173
-
-
Hanke, M.1
Nagy, J.2
-
24
-
-
0000699292
-
Circulant and skewcirculant matrices for solving Toeplitz matrix problems
-
T. Huckle, Circulant and skewcirculant matrices for solving Toeplitz matrix problems, SIAM J. Matrix Anal Appl. 13 (1992) 767-777.
-
(1992)
SIAM J. Matrix Anal Appl.
, vol.13
, pp. 767-777
-
-
Huckle, T.1
-
26
-
-
85128536511
-
Displacement structure approach to discrete-trigonometric-transform based preconditioners of G. Strang type and T. Chan type
-
Cortona, Italy
-
T. Kailath, V. Olshevsky, Displacement structure approach to discrete-trigonometric-transform based preconditioners of G. Strang type and T. Chan type, in: Proceedings of the Workshop on Toeplitz matrices, Cortona, Italy, 1996 (to appear in Calcolo 33 (1996) 191-208).
-
(1996)
Proceedings of the Workshop on Toeplitz Matrices
-
-
Kailath, T.1
Olshevsky, V.2
-
27
-
-
0029715230
-
-
T. Kailath, V. Olshevsky, Displacement structure approach to discrete-trigonometric-transform based preconditioners of G. Strang type and T. Chan type, in: Proceedings of the Workshop on Toeplitz matrices, Cortona, Italy, 1996 (to appear in Calcolo 33 (1996) 191-208).
-
(1996)
Calcolo
, vol.33
, pp. 191-208
-
-
-
29
-
-
0039331372
-
On some new Banach algebras and Wiener Levy theorems for Fourier Series and integrals
-
M.G. Krein, On some new Banach algebras and Wiener Levy theorems for Fourier Series and integrals, Amer. Math. Soc, Transl. 93 (1970) 177-199.
-
(1970)
Amer. Math. Soc, Transl.
, vol.93
, pp. 177-199
-
-
Krein, M.G.1
-
34
-
-
20744448636
-
Preconditioning strategies for asymptotically ill-conditioned block Toeplitz systems
-
S. Serra, Preconditioning strategies for asymptotically ill-conditioned block Toeplitz systems, BIT 34 (1994) 579-594.
-
(1994)
BIT
, vol.34
, pp. 579-594
-
-
Serra, S.1
-
35
-
-
0009257011
-
Conditioning and solution, by means of preconditioned conjugate gradient methods, of Hermitian (block) Toeplitz systems
-
F. Luk (Ed.), San Diego, CA
-
S. Serra, Conditioning and solution, by means of preconditioned conjugate gradient methods, of Hermitian (block) Toeplitz systems, in: F. Luk (Ed.), Proceedings in Advanced Signal Processing Algorithms, Architectures, and Implementations SPIE Conference, San Diego, CA, 1995, pp. 326-337.
-
(1995)
Proceedings in Advanced Signal Processing Algorithms, Architectures, and Implementations SPIE Conference
, pp. 326-337
-
-
Serra, S.1
-
36
-
-
0030520048
-
Preconditioning strategies for Hermitian Toeplitz systems with nondefinite generating functions
-
S. Serra, Preconditioning strategies for Hermitian Toeplitz systems with nondefinite generating functions. SIAM J. Matrix Anal. Appl. 17 (4) (1996) 1007-1019.
-
(1996)
SIAM J. Matrix Anal. Appl.
, vol.17
, Issue.4
, pp. 1007-1019
-
-
Serra, S.1
-
37
-
-
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) 651-665.
-
(1997)
Math. Comp.
, vol.66
, pp. 651-665
-
-
Serra, S.1
-
38
-
-
0039835885
-
The extension of the concept of generating function to a class of preconditioned Toeplitz matrices
-
S. Serra, The extension of the concept of generating function to a class of preconditioned Toeplitz matrices. Linear Algebra Appl. 267 (1997) 239-261.
-
(1997)
Linear Algebra Appl.
, vol.267
, pp. 239-261
-
-
Serra, S.1
-
39
-
-
0041494509
-
On the extreme eigenvalues of Hermitian (block) Toeplitz matrices
-
S. Serra, On the extreme eigenvalues of Hermitian (block) Toeplitz matrices, Linear Algebra Appl. 270 (1998) 120-129.
-
(1998)
Linear Algebra Appl.
, vol.270
, pp. 120-129
-
-
Serra, S.1
-
40
-
-
85045781652
-
A Korovkin-type theory for finite Toeplitz operators via matrix algebras
-
TR 8, Department of Energelica "S. Stecco", University of Florence, in press
-
S. Serra, A Korovkin-type theory for finite Toeplitz operators via matrix algebras, TR 8, Department of Energelica "S. Stecco", University of Florence, Numer. Math., in press.
-
Numer. Math.
-
-
Serra, S.1
-
41
-
-
0001148774
-
How to choose the best iterative strategy for symmetric Toeplitz systems?
-
TR 7, Department of Energetica "S. Stecco", University of Florence, in press
-
S. Serra, How to choose the best iterative strategy for symmetric Toeplitz systems?, TR 7, Department of Energetica "S. Stecco", University of Florence, SIAM J. Numer. Anal., in press.
-
SIAM J. Numer. Anal.
-
-
Serra, S.1
-
42
-
-
0005354415
-
Toeplitz preconditioners constructed from linear approximation processes
-
in press
-
S. Serra Capizzano, Toeplitz preconditioners constructed from linear approximation processes, SIAM J. Matrix Anal. Appl., in press.
-
SIAM J. Matrix Anal. Appl.
-
-
Serra Capizzano, S.1
-
44
-
-
0001498817
-
An ergodic theorem for classes of preconditioned matrices
-
S. Serra Capizzano, An ergodic theorem for classes of preconditioned matrices, Linear Algebra Appl. 282 (1998) 161-183.
-
(1998)
Linear Algebra Appl.
, vol.282
, pp. 161-183
-
-
Serra Capizzano, S.1
-
46
-
-
0022694911
-
A proposal for Toeplitz matrix calculation
-
G. Strang, A proposal for Toeplitz matrix calculation, Stud. Appl. Math. 74 (1986) 171-176.
-
(1986)
Stud. Appl. Math.
, vol.74
, pp. 171-176
-
-
Strang, G.1
-
47
-
-
0042358811
-
Singular values and eigenvalues of non Hermitan block Toeplitz matrices
-
P. Tilli, Singular values and eigenvalues of non Hermitan block Toeplitz matrices", Linear Algebra Appl. 272 (1998) 59-89.
-
(1998)
Linear Algebra Appl.
, vol.272
, pp. 59-89
-
-
Tilli, P.1
-
48
-
-
0040850695
-
Influence of matrix operations on the distribution of eigenvalues and singular values of Toeplitz matrices
-
E. Tyrtyshnikov, Influence of matrix operations on the distribution of eigenvalues and singular values of Toeplitz matrices, Linear Algebra Appl. 207 (1994) 225-249.
-
(1994)
Linear Algebra Appl.
, vol.207
, pp. 225-249
-
-
Tyrtyshnikov, E.1
-
49
-
-
0039480616
-
Circulant preconditioners with unbounded inverses
-
E. Tyrtyshnikov, Circulant preconditioners with unbounded inverses, Linear Algebra Appl. 216 (1995) 1-23.
-
(1995)
Linear Algebra Appl.
, vol.216
, pp. 1-23
-
-
Tyrtyshnikov, E.1
-
50
-
-
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) 1-43.
-
(1996)
Linear Algebra Appl.
, vol.232
, pp. 1-43
-
-
Tyrtyshnikov, E.1
-
51
-
-
0042855353
-
Spectra of multilevel Toeplitz matrices: Advanced theory via simple matrix relationships
-
E. Tyrtyshnikov, N. Zamarashkin, Spectra of multilevel Toeplitz matrices: Advanced theory via simple matrix relationships, Linear Algebra Appl. 270 (1998) 15-27.
-
(1998)
Linear Algebra Appl.
, vol.270
, pp. 15-27
-
-
Tyrtyshnikov, E.1
Zamarashkin, N.2
-
52
-
-
0000807580
-
Toeplitz matrices
-
I. Hirshman Jr. (Ed.), Math. Ass. Amer.
-
H. Widom, Toeplitz matrices, in: I. Hirshman Jr. (Ed.), Studies in Real and Complex Analysis, Math. Ass. Amer., 1965.
-
(1965)
Studies in Real and Complex Analysis
-
-
Widom, H.1
-
53
-
-
0000761009
-
On the singular values of Toeplitz matrices
-
H. Widom, On the singular values of Toeplitz matrices, Zeit. Anal. Anw. 8 (1989) 221-229.
-
(1989)
Zeit. Anal. Anw.
, vol.8
, pp. 221-229
-
-
Widom, H.1
-
54
-
-
21344492053
-
Circulant preconditioners for Toeplitz matrices with piecewise continuous generating functions
-
M.C. Yeung, R.H. Chan, Circulant preconditioners for Toeplitz matrices with piecewise continuous generating functions, Math. Comp. 61 (1993) 701-718.
-
(1993)
Math. Comp.
, vol.61
, pp. 701-718
-
-
Yeung, M.C.1
Chan, R.H.2
-
55
-
-
84953751498
-
-
Cambridge University Press, Cambridge, MA
-
A. Zygmund, Trigonometric Series, Cambridge University Press, Cambridge, MA, 1959.
-
(1959)
Trigonometric Series
-
-
Zygmund, A.1
|