-
1
-
-
0000834834
-
The problem of the convergence of the iteratively regularized Gauss-Newton method
-
Bakushinskii A W 1992 The problem of the convergence of the iteratively regularized Gauss-Newton method Comput. Math. Math. Phys. 32 1353-9
-
(1992)
Comput. Math. Math. Phys.
, vol.32
, pp. 1353-1359
-
-
Bakushinskii, A.W.1
-
2
-
-
0031532935
-
On convergence rates for the iteratively regularized Gauss-Newton method
-
Blaschke B, Neubauer A and Scherzer O 1997 On convergence rates for the iteratively regularized Gauss-Newton method IMA J. Numer. Anal. 17 421-36
-
(1997)
IMA J. Numer. Anal.
, vol.17
, pp. 421-436
-
-
Blaschke, B.1
Neubauer, A.2
Scherzer, O.3
-
3
-
-
0000340316
-
The simple method for solving the electromagnetic inverse scattering problem: The case of TE polarized waves
-
Colton D and Piana M 1998 The simple method for solving the electromagnetic inverse scattering problem: the case of TE polarized waves Inverse Problems 14 597-614
-
(1998)
Inverse Problems
, vol.14
, pp. 597-614
-
-
Colton, D.1
Piana, M.2
-
4
-
-
0022027469
-
Identification of parameters in distributed parameter systems by regularization
-
Cravaris C and Seinfeld J H 1985 Identification of parameters in distributed parameter systems by regularization SIAM J. Control. Opt. 23 217-41
-
(1985)
SIAM J. Control. Opt.
, vol.23
, pp. 217-241
-
-
Cravaris, C.1
Seinfeld, J.H.2
-
5
-
-
0345875999
-
A convergence analysis of iterative methods for the solution of nonlinear ill-posed problems under affinely invariant conditions
-
Deuflhard P, Engl H W and Scherzer O 1998 A convergence analysis of iterative methods for the solution of nonlinear ill-posed problems under affinely invariant conditions Inverse Problems 14 1081-106
-
(1998)
Inverse Problems
, vol.14
, pp. 1081-1106
-
-
Deuflhard, P.1
Engl, H.W.2
Scherzer, O.3
-
7
-
-
0033360505
-
A new approach towards simultaneous activity and attenuation reconstruction in emission tomography
-
Dicken V 1999 A new approach towards simultaneous activity and attenuation reconstruction in emission tomography Inverse Problems 15 931-60
-
(1999)
Inverse Problems
, vol.15
, pp. 931-960
-
-
Dicken, V.1
-
8
-
-
0000405886
-
A transport-backtransport method for optical tomography
-
Dorn O 1998 A transport-backtransport method for optical tomography Inverse Problems 14 1107-30
-
(1998)
Inverse Problems
, vol.14
, pp. 1107-1130
-
-
Dorn, O.1
-
10
-
-
36149030945
-
Convergence rates for Tikhonov regularization of nonlinear ill-posed problems
-
Engl H W, Kunisch K and Neubauer A 1989 Convergence rates for Tikhonov regularization of nonlinear ill-posed problems Inverse Problems 5 523-40
-
(1989)
Inverse Problems
, vol.5
, pp. 523-540
-
-
Engl, H.W.1
Kunisch, K.2
Neubauer, A.3
-
11
-
-
0027802743
-
Optimal a posteriori parameter choice for Tikhonov regularization for solving nonlinear ill-posed problems
-
Engl H W, Kunisch K and Neubauer A 1993 Optimal a posteriori parameter choice for Tikhonov regularization for solving nonlinear ill-posed problems SIAM J. Numer. Anal. 30 1796-883
-
(1993)
SIAM J. Numer. Anal.
, vol.30
, pp. 1796-1883
-
-
Engl, H.W.1
Kunisch, K.2
Neubauer, A.3
-
12
-
-
0344017343
-
On the residual principle for solving nonlinear ill-posed problems
-
Goncarskii A V, Leonov A S and Jagola AC 1974 On the residual principle for solving nonlinear ill-posed problems Sov. Math.-Dokl. 15 166-8
-
(1974)
Sov. Math.-Dokl.
, vol.15
, pp. 166-168
-
-
Goncarskii, A.V.1
Leonov, A.S.2
Jagola, A.C.3
-
13
-
-
0003062572
-
A regularizing Levenberg-Marquardt scheme, with applications to inverse ground-water filtration problems
-
Hanke M 1997 A regularizing Levenberg-Marquardt scheme, with applications to inverse ground-water filtration problems Inverse Problems 13 79-95
-
(1997)
Inverse Problems
, vol.13
, pp. 79-95
-
-
Hanke, M.1
-
14
-
-
0031275314
-
Regularizing properties of a truncated Newton-cg algorithm for nonlinear ill-posed problems
-
Hanke M 1997 Regularizing properties of a truncated Newton-cg algorithm for nonlinear ill-posed problems Numer. Funct. Anal. Optim. 18 971-93
-
(1997)
Numer. Funct. Anal. Optim.
, vol.18
, pp. 971-993
-
-
Hanke, M.1
-
15
-
-
0040893030
-
A convergence analysis of the Landweber iteration for nonlinear ill-posed problems
-
Hanke M, Neubauer A and Scherzer O 1995 A convergence analysis of the Landweber iteration for nonlinear ill-posed problems Numer. Math. 72 21-37
-
(1995)
Numer. Math.
, vol.72
, pp. 21-37
-
-
Hanke, M.1
Neubauer, A.2
Scherzer, O.3
-
16
-
-
0001646951
-
On autoconvolution and regularization
-
Hofmann B and Gorenflo R 1994 On autoconvolution and regularization Inverse Problems 10 353-73
-
(1994)
Inverse Problems
, vol.10
, pp. 353-373
-
-
Hofmann, B.1
Gorenflo, R.2
-
17
-
-
0000130782
-
Some Newton-type methods for the regularization of nonlinear ill-posed problems
-
Kaltenbacher B 1997 Some Newton-type methods for the regularization of nonlinear ill-posed problems Inverse Problems 13 729-53
-
(1997)
Inverse Problems
, vol.13
, pp. 729-753
-
-
Kaltenbacher, B.1
-
18
-
-
0031247253
-
A fast and accurate imaging algorithm in optical/diffusion tomography
-
Klibanov T, Lucas T R and Frank R M 1997 A fast and accurate imaging algorithm in optical/diffusion tomography Inverse Problems 13 1341-63
-
(1997)
Inverse Problems
, vol.13
, pp. 1341-1363
-
-
Klibanov, T.1
Lucas, T.R.2
Frank, R.M.3
-
19
-
-
0344880459
-
On algorithms for the approximate solution of nonlinear ill-posed problems with perturbed operator
-
Leonov A S 1979 On algorithms for the approximate solution of nonlinear ill-posed problems with perturbed operator Sov. Math.-Dokl. 20 301-5
-
(1979)
Sov. Math.-Dokl.
, vol.20
, pp. 301-305
-
-
Leonov, A.S.1
-
22
-
-
0020831361
-
Computerized tomography with unknown sources
-
Natterer F 1983 Computerized tomography with unknown sources SIAM J. Appl. Math. 43 1201-12
-
(1983)
SIAM J. Appl. Math.
, vol.43
, pp. 1201-1212
-
-
Natterer, F.1
-
23
-
-
0001591547
-
Determination of tissue attenuation in emission tomography of optically dense media
-
Natterer F 1993 Determination of tissue attenuation in emission tomography of optically dense media Inverse Problems 9731-6
-
(1993)
Inverse Problems
, pp. 9731-9736
-
-
Natterer, F.1
-
24
-
-
0034832061
-
Inversion of the attenuated Radon transform
-
Natterer F 2001 Inversion of the attenuated Radon transform Inverse Problems 17 113-9
-
(2001)
Inverse Problems
, vol.17
, pp. 113-119
-
-
Natterer, F.1
-
25
-
-
0000543253
-
A propagation-backpropagation method for ultrasound tomography
-
Natterer F and Wubbeling F 1998 A propagation-backpropagation method for ultrasound tomography Inverse Problems 11 1225-32
-
(1998)
Inverse Problems
, vol.11
, pp. 1225-1232
-
-
Natterer, F.1
Wubbeling, F.2
-
27
-
-
0032687625
-
A modified Landweber-method for inverse problems
-
Ramlau R 1999 A modified Landweber-method for inverse problems Numer. Funct. Anal. Optim. 20
-
(1999)
Numer. Funct. Anal. Optim.
, vol.20
-
-
Ramlau, R.1
-
28
-
-
0036477754
-
Morozov's discrepancy principle for Tikhonov regularization of nonlinear operators
-
Ramlau R 2002 Morozov's discrepancy principle for Tikhonov regularization of nonlinear operators Numer. Funct. Anal. Optim. 23 147-72
-
(2002)
Numer. Funct. Anal. Optim.
, vol.23
, pp. 147-172
-
-
Ramlau, R.1
-
29
-
-
0036538551
-
A steepest descent algorithm for the global minimization of the Tikhonov functional
-
Ramlau R 2002 A steepest descent algorithm for the global minimization of the Tikhonov functional Inverse Problems 18 381-405
-
(2002)
Inverse Problems
, vol.18
, pp. 381-405
-
-
Ramlau, R.1
-
30
-
-
0008873898
-
Accurate attenuation correction in SPECT imaging using optimization of bilinear functions and assuming an unknown spatially-varying attenuation distribution
-
Ramlau R, Clackdoyle R, Noo F and Bal G 2000 Accurate attenuation correction in SPECT imaging using optimization of bilinear functions and assuming an unknown spatially-varying attenuation distribution Z. Angew. Math. Mech. 80 613-21
-
(2000)
Z. Angew. Math. Mech.
, vol.80
, pp. 613-621
-
-
Ramlau, R.1
Clackdoyle, R.2
Noo, F.3
Bal, G.4
-
31
-
-
0002557931
-
The use of Morozov's discrepancy principle for Tikhonov regularization for solving nonlinear ill-posed problems
-
Scherzer O 1993 The use of Morozov's discrepancy principle for Tikhonov regularization for solving nonlinear ill-posed problems Computing 51 45-60
-
(1993)
Computing
, vol.51
, pp. 45-60
-
-
Scherzer, O.1
-
32
-
-
0032122772
-
A modified Landweber iteration for solving parameter estimation problems
-
Scherzer O 1998 A modified Landweber iteration for solving parameter estimation problems Appl. Math. Optim. 38 45-68
-
(1998)
Appl. Math. Optim.
, vol.38
, pp. 45-68
-
-
Scherzer, O.1
-
33
-
-
0000658678
-
The design of a mathematical phantom of the upper human torso for use in 3D SPECT imaging research
-
New York: New York University Press
-
Terry J A, Tsui BMW, Perry J R, Hendricks J L and Gullberg G T 1990 The design of a mathematical phantom of the upper human torso for use in 3D SPECT imaging research Proc. 1990 Fall Mtg of the Biomedical Engineering Society (Blacksburg, VA) (New York: New York University Press) pp 1467-74
-
(1990)
Proc. 1990 Fall Mtg of the Biomedical Engineering Society (Blacksburg, VA)
, pp. 1467-1474
-
-
Terry, J.A.1
Tsui, B.M.W.2
Perry, J.R.3
Hendricks, J.L.4
Gullberg, G.T.5
-
36
-
-
0031240173
-
Toward accurate attenuation correction in SPECT without transmission measurements
-
Welch A, Clack R, Natterer F and Gullberg G T 1997 Toward accurate attenuation correction in SPECT without transmission measurements IEEE Trans. Med. Imaging 16 532-40
-
(1997)
IEEE Trans. Med. Imaging
, vol.16
, pp. 532-540
-
-
Welch, A.1
Clack, R.2
Natterer, F.3
Gullberg, G.T.4
|