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Hanke-Bourgeois, Martin

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Author ID: hanke-bourgeois.martin Recent zbMATH articles by "Hanke-Bourgeois, Martin"
Published as: Hanke, Martin; Hanke, M.; Hanke-Bourgeois, Martin
Homepage: http://www.mathematik.uni-mainz.de/Members/hanke
External Links: MGP
Documents Indexed: 105 Publications since 1988, including 7 Books
all top 5

Serials

11 Inverse Problems
7 Numerische Mathematik
6 Linear Algebra and its Applications
4 BIT
4 SIAM Journal on Numerical Analysis
4 Zeitschrift für Analysis und ihre Anwendungen
4 Numerical Algorithms
4 SIAM Journal on Scientific Computing
3 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
3 Numerical Functional Analysis and Optimization
3 SIAM Journal on Applied Mathematics
3 Oberwolfach Reports
3 SIAM Journal on Imaging Sciences
2 Letters in Mathematical Physics
2 Journal of Computational and Applied Mathematics
2 SIAM Journal on Mathematical Analysis
2 Inverse Problems and Imaging
1 American Mathematical Monthly
1 Applicable Analysis
1 Journal of Mathematical Analysis and Applications
1 Journal of Mathematical Physics
1 Journal of Statistical Physics
1 Mathematics of Computation
1 Journal of Approximation Theory
1 Journal of Optimization Theory and Applications
1 Proceedings of the American Mathematical Society
1 Applied Numerical Mathematics
1 Journal of Integral Equations and Applications
1 Surveys on Mathematics for Industry
1 Applications of Mathematics
1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
1 Journal of Inverse and Ill-Posed Problems
1 ETNA. Electronic Transactions on Numerical Analysis
1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
1 International Journal of Theoretical and Applied Finance
1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
1 Quantitative Finance
1 Inverse Problems in Science and Engineering
1 Mathematics and its Applications (Dordrecht)
1 Other Titles in Applied Mathematics

Publications by Year

Citations contained in zbMATH Open

85 Publications have been cited 2,537 times in 1,828 Documents Cited by Year
Regularization of inverse problems. Zbl 0859.65054
Engl, Heinz W.; Hanke, Martin; Neubauer, Andreas
1996
A convergence analysis of the Landweber iteration for nonlinear ill-posed problems. Zbl 0840.65049
Hanke, Martin; Neubauer, Andreas; Scherzer, Otmar
173
1995
Regularization methods for large-scale problems. Zbl 0805.65058
Hanke, Martin; Hansen, Per Christian
138
1993
A regularizing Levenberg-Marquardt scheme, with applications to inverse groundwater filtration problems. Zbl 0873.65057
Hanke, Martin
106
1997
Conjugate gradient type methods for ill-posed problems. Zbl 0830.65043
Hanke, Martin
105
1995
Inverse problems light: Numerical differentiation. Zbl 1002.65029
Hanke, Martin; Scherzer, Otmar
61
2001
Tikhonov regularization of nonlinear differential-algebraic equations. Zbl 0711.34018
Engl, H. W.; Hanke, M.; Neubauer, A.
55
1990
Numerical implementation of two noniterative methods for locating inclusions by impedance tomography. Zbl 0955.35076
Brühl, Martin; Hanke, Martin
50
2000
Regularizing properties of a truncated Newton-cg algorithm for nonlinear inverse problems. Zbl 0899.65038
Hanke, Martin
42
1997
Preconditioned iterative regularization for ill-posed problems. Zbl 0794.65039
Hanke, Martin; Nagy, James; Plemmons, Robert
42
1993
A direct impedance tomography algorithm for locating small inhomogeneities. Zbl 1016.65079
Brühl, Martin; Hanke, Martin; Vogelius, Michael S.
42
2003
Accelerated Landweber iterations for the solution of ill-posed equations. Zbl 0745.65038
Hanke, Martin
40
1991
Nonstationary iterated Tikhonov regularization. Zbl 0910.47005
Hanke, M.; Groetsch, C. W.
37
1998
Limitations of the \(L\)-curve method in ill-posed problems. Zbl 0849.65039
Hanke, Martin
32
1996
Restoration of atmospherically blurred images by symmetric indefinite conjugate gradient techniques. Zbl 0859.65141
Hanke, Martin; Nagy, James G.
31
1996
A general heuristic for choosing the regularization parameter in ill-posed problems. Zbl 0859.65051
Hanke, Martin; Raus, Toomas
27
1996
Error analysis of an equation error method for the identification of the diffusion coefficient in a quasi-linear parabolic differential equation. Zbl 0928.35198
Hanke, Martin; Scherzer, Otmar
27
1999
Recent progress in electrical impedance tomography. Zbl 1048.92022
Hanke, Martin; Brühl, Martin
25
2003
Quasi-Newton approach to nonnegative image restorations. Zbl 0960.65071
Hanke, Martin; Nagy, James G.; Vogel, Curtis
24
2000
On the acceleration of Kaczmarz’s method for inconsistent linear systems. Zbl 0708.65033
Hanke, Martin; Niethammer, Wilhelm
24
1990
Crack detection using electrostatic measurements. Zbl 0985.35103
Brühl, Martin; Hanke, Martin; Pidcock, Michael
19
2001
Justification of point electrode models in electrical impedance tomography. Zbl 1219.65126
Hanke, Martin; Harrach, Bastian; Hyvönen, Nuutti
17
2011
Fast preconditioned conjugate gradient algorithms for Wiener-Hopf integral equations. Zbl 0820.65092
Gohberg, I.; Hanke, M.; Koltracht, I.
16
1994
Two-level preconditioners for regularized inverse problems. I: Theory. Zbl 0941.65056
Hanke, Martin; Vogel, Curtis R.
16
1999
Preconditionings and splittings for rectangular systems. Zbl 0704.65018
Hanke, Martin; Neumann, Michael
16
1990
Fast nonstationary preconditioned iterative methods for ill-posed problems, with application to image deblurring. Zbl 1285.65030
Donatelli, Marco; Hanke, Martin
16
2013
Identification of small inhomogeneities asymptotic factorization. Zbl 1119.35111
Ammari, Habib; Griesmaier, Roland; Hanke, Martin
15
2007
A Chebyshev-like semiiteration for inconsistent linear systems. Zbl 0809.65039
Hanke, Martin; Hochbruck, Marlis
14
1993
The regularizing Levenberg-Marquardt scheme is of optimal order. Zbl 1204.65059
Hanke, Martin
14
2010
Deblurring methods using antireflective boundary conditions. Zbl 1167.65361
Christiansen, Martin; Hanke, Martin
13
2008
Far field splitting for the Helmholtz equation. Zbl 1295.35381
Griesmaier, Roland; Hanke, Martin; Sylvester, John
12
2014
On rational approximation methods for inverse source problems. Zbl 1215.35166
Hanke, Martin; Rundell, William
11
2011
Inverse Toeplitz preconditioners for ill-posed problems. Zbl 0935.65037
Hanke, Martin; Nagy, James
10
1998
Inverse source problems for the Helmholtz equation and the windowed Fourier transform. Zbl 1251.35187
Griesmaier, Roland; Hanke, Martin; Raasch, Thorsten
9
2012
Regularization methods for constrained mechanical multibody systems. Zbl 0888.70014
Eich, E.; Hanke, M.
8
1995
The factorization method for electrical impedance tomography in the half-space. Zbl 1151.65085
Hanke, Martin; Schappel, Birgit
8
2008
Highly accurate finite element method for one-dimensional elliptic interface problems. Zbl 1181.65109
Loubenets, A.; Ali, T.; Hanke, M.
8
2009
On the Landweber iteration for nonlinear ill-posed problems. Zbl 0879.65037
Binder, A.; Hanke, M.; Scherzer, O.
7
1996
A sampling method for detecting buried objects using electromagnetic scattering. Zbl 1112.78013
Gebauer, Bastian; Hanke, Martin; Kirsch, Andreas; Muniz, Wagner; Schneider, Christoph
7
2005
Sampling methods. Zbl 1259.35222
Hanke, Martin; Kirsch, Andreas
7
2011
Inverse source problems for the Helmholtz equation and the windowed Fourier transform. II. Zbl 1282.35412
Griesmaier, Roland; Hanke, Martin; Raasch, Thorsten
7
2013
Convex source support and its application to electric impedance tomography. Zbl 1179.35345
Hanke, Martin; Hyvönen, Nuutti; Reusswig, Stefanie
6
2008
Convex backscattering support in electric impedance tomography. Zbl 1215.78011
Hanke, Martin; Hyvönen, Nuutti; Reusswig, Stefanie
6
2011
Sampling methods. 2nd edition. Zbl 1331.35385
Hanke-Bourgeois, Martin; Kirsch, Andreas
5
2015
The minimal error conjugate gradient method is a regularization method. Zbl 0851.65033
Hanke, Martin
5
1995
Toeplitz approximate inverse preconditioner for banded Toeplitz matrices. Zbl 0810.65029
Hanke, Martin; Nagy, James G.
5
1994
Regularization with differential operators: An iterative approach. Zbl 0769.65027
Hanke, Martin
5
1992
On real-time algorithms for the location search of discontinuous conductivities with one measurement. Zbl 1153.35403
Hanke, Martin
5
2008
Foundations of numerical mathematics and scientific computing. 3rd revised ed. (Grundlagen der numerischen Mathematik und des wissenschaftlichen Rechnens.) Zbl 1155.65001
Hanke-Bourgeois, Martin
5
2009
Multifrequency impedance imaging with multiple signal classification. Zbl 1432.94014
Griesmaier, Roland; Hanke, Martin
4
2015
An inverse backscatter problem for electric impedance tomography. Zbl 1197.35321
Hanke, Martin; Hyvönen, Nuutti; Reusswig, Stefanie
4
2009
A note on conjugate-gradient type methods for indefinite and/or inconsistent linear systems. Zbl 0847.65018
Fischer, Bernd; Hanke, Martin; Hochbruck, Marlis
4
1996
Asymptotic expansions for regularization methods of linear fully implicit differential-algebraic equations. Zbl 0805.34002
Hanke, M.
4
1994
On the use of small relaxation parameters in Kaczmarz’s method. Zbl 0716.65040
Hanke, M.; Niethammer, W.
4
1990
On the condition number of the antireflective transform. Zbl 1181.94041
Donatelli, Marco; Hanke, Martin
4
2010
Surface reactions on the cytoplasmatic membranes – mathematical modeling of reaction and diffusion systems in a cell. Zbl 1301.92022
Chaudhry, Q. A.; Hanke, M.; Morgenstern, R.; Dreij, K.
3
2014
Computation of local volatilities from regularized Dupire equations. Zbl 1100.91044
Hanke, Martin; Rösler, Elisabeth
3
2005
The geometry of the set of scaled projections. Zbl 0782.15002
Hanke, Martin
3
1993
An optimal stopping rule for the \(v\)-method for solving ill-posed problems, using Christoffel functions. Zbl 0812.41028
Hanke, Martin; Engl, Heinz W.
3
1994
A note on Tikhonov regularization of large linear problems. Zbl 1043.65064
Hanke, Martin
3
2003
Why linear sampling really seems to work. Zbl 1180.35560
Hanke, Martin
3
2008
Locating several small inclusions in impedance tomography from backscatter data. Zbl 1233.35203
Hanke, Martin
3
2011
One shot inverse scattering via rational approximation. Zbl 1248.35233
Hanke, Martin
3
2012
Iterative regularization techniques in image reconstruction. Zbl 0972.65123
Hanke, Martin
2
2000
A general framework for regularized evaluation of unstable operators. Zbl 0887.47013
Groetsch, Charles W.; Hanke, Martin
2
1996
An \(\epsilon\)-free a posteriori stopping rule for certain iterative regularization methods. Zbl 0783.65051
Hanke, Martin
2
1993
Foundations of numerical mathematics and scientific computing. (Grundlagen der numerischen Mathematik und des wissenschaftlichen Rechnens.) Zbl 1010.65001
Hanke-Bourgeois, Martin
2
2002
Kernel polynomials for the solution of indefinite and ill-posed problems. Zbl 0996.65057
Frankenberger, Harald; Hanke, Martin
2
2000
Sampling methods for low-frequency electromagnetic imaging. Zbl 1137.78315
Gebauer, Bastian; Hanke, Martin; Schneider, Christoph
2
2008
Source supports in electrostatics. Zbl 1152.35111
Hanke, Martin; Hyvönen, Nuutti; Lehn, Manfred; Reusswig, Stefanie
2
2008
MUSIC-characterization of small scatterers for normal measurement data. Zbl 1167.35542
Griesmaier, Roland; Hanke, Martin
2
2009
An asymptotic factorization method for inverse electromagnetic scattering in layered media. II: A numerical study. Zbl 1179.78063
Griesmaier, Roland; Hanke, Martin
2
2009
A taste of inverse problems. Basic theory and examples. Zbl 1381.65042
Hanke, Martin
2
2017
Well-posedness of the iterative Boltzmann inversion. Zbl 1390.82022
Hanke, Martin
2
2018
A note on the nonlinear Landweber iteration. Zbl 1307.65078
Hanke, Martin
1
2014
Strong changes of state in collapsing bubbles. Zbl 0925.76858
Hanke, M.; Ballmann, J.
1
1998
Regularization by projection for unbounded operators arising in inverse problems. Zbl 0823.65053
Groetsch, C. W.; Hanke, Martin
1
1995
Asymptotics of orthogonal polynomials and the numerical solution of ill-posed problems. Zbl 0851.65035
Hanke, Martin
1
1996
A second look at Nemirovskii’s analysis of the conjugate gradient method. Zbl 0810.65047
Hanke, M.
1
1994
Superlinear convergence rates for the Lanczos method applied to elliptic operators. Zbl 0887.65055
Hanke, Martin
1
1997
Iterative Lösung gewichteter linearer Ausgleichsprobleme. (Iterative solution of weighted linear adjustment problems). Zbl 0694.65014
Hanke, Martin
1
1989
Foundations of numerical mathematics and scientific computing. 2nd revised and expanded ed. (Grundlagen der numerischen Mathematik und des wissenschaftlichen Rechnens.) Zbl 1109.65001
Hanke-Bourgeois, Martin
1
2006
Convex source support in three dimensions. Zbl 1238.65108
Hanke, Martin; Harhanen, Lauri; Hyvönen, Nuutti; Schweickert, Eva
1
2012
Unique solvability of a system of ordinary differential equations modeling a warm cloud parcel. Zbl 1437.37113
Hanke, Martin; Porz, Nikolas
1
2020
Fréchet differentiability of molecular distribution functions. I: \(L^\infty \) analysis. Zbl 1383.82010
Hanke, Martin
1
2018
Unique solvability of a system of ordinary differential equations modeling a warm cloud parcel. Zbl 1437.37113
Hanke, Martin; Porz, Nikolas
1
2020
Well-posedness of the iterative Boltzmann inversion. Zbl 1390.82022
Hanke, Martin
2
2018
Fréchet differentiability of molecular distribution functions. I: \(L^\infty \) analysis. Zbl 1383.82010
Hanke, Martin
1
2018
A taste of inverse problems. Basic theory and examples. Zbl 1381.65042
Hanke, Martin
2
2017
Sampling methods. 2nd edition. Zbl 1331.35385
Hanke-Bourgeois, Martin; Kirsch, Andreas
5
2015
Multifrequency impedance imaging with multiple signal classification. Zbl 1432.94014
Griesmaier, Roland; Hanke, Martin
4
2015
Far field splitting for the Helmholtz equation. Zbl 1295.35381
Griesmaier, Roland; Hanke, Martin; Sylvester, John
12
2014
Surface reactions on the cytoplasmatic membranes – mathematical modeling of reaction and diffusion systems in a cell. Zbl 1301.92022
Chaudhry, Q. A.; Hanke, M.; Morgenstern, R.; Dreij, K.
3
2014
A note on the nonlinear Landweber iteration. Zbl 1307.65078
Hanke, Martin
1
2014
Fast nonstationary preconditioned iterative methods for ill-posed problems, with application to image deblurring. Zbl 1285.65030
Donatelli, Marco; Hanke, Martin
16
2013
Inverse source problems for the Helmholtz equation and the windowed Fourier transform. II. Zbl 1282.35412
Griesmaier, Roland; Hanke, Martin; Raasch, Thorsten
7
2013
Inverse source problems for the Helmholtz equation and the windowed Fourier transform. Zbl 1251.35187
Griesmaier, Roland; Hanke, Martin; Raasch, Thorsten
9
2012
One shot inverse scattering via rational approximation. Zbl 1248.35233
Hanke, Martin
3
2012
Convex source support in three dimensions. Zbl 1238.65108
Hanke, Martin; Harhanen, Lauri; Hyvönen, Nuutti; Schweickert, Eva
1
2012
Justification of point electrode models in electrical impedance tomography. Zbl 1219.65126
Hanke, Martin; Harrach, Bastian; Hyvönen, Nuutti
17
2011
On rational approximation methods for inverse source problems. Zbl 1215.35166
Hanke, Martin; Rundell, William
11
2011
Sampling methods. Zbl 1259.35222
Hanke, Martin; Kirsch, Andreas
7
2011
Convex backscattering support in electric impedance tomography. Zbl 1215.78011
Hanke, Martin; Hyvönen, Nuutti; Reusswig, Stefanie
6
2011
Locating several small inclusions in impedance tomography from backscatter data. Zbl 1233.35203
Hanke, Martin
3
2011
The regularizing Levenberg-Marquardt scheme is of optimal order. Zbl 1204.65059
Hanke, Martin
14
2010
On the condition number of the antireflective transform. Zbl 1181.94041
Donatelli, Marco; Hanke, Martin
4
2010
Highly accurate finite element method for one-dimensional elliptic interface problems. Zbl 1181.65109
Loubenets, A.; Ali, T.; Hanke, M.
8
2009
Foundations of numerical mathematics and scientific computing. 3rd revised ed. (Grundlagen der numerischen Mathematik und des wissenschaftlichen Rechnens.) Zbl 1155.65001
Hanke-Bourgeois, Martin
5
2009
An inverse backscatter problem for electric impedance tomography. Zbl 1197.35321
Hanke, Martin; Hyvönen, Nuutti; Reusswig, Stefanie
4
2009
MUSIC-characterization of small scatterers for normal measurement data. Zbl 1167.35542
Griesmaier, Roland; Hanke, Martin
2
2009
An asymptotic factorization method for inverse electromagnetic scattering in layered media. II: A numerical study. Zbl 1179.78063
Griesmaier, Roland; Hanke, Martin
2
2009
Deblurring methods using antireflective boundary conditions. Zbl 1167.65361
Christiansen, Martin; Hanke, Martin
13
2008
The factorization method for electrical impedance tomography in the half-space. Zbl 1151.65085
Hanke, Martin; Schappel, Birgit
8
2008
Convex source support and its application to electric impedance tomography. Zbl 1179.35345
Hanke, Martin; Hyvönen, Nuutti; Reusswig, Stefanie
6
2008
On real-time algorithms for the location search of discontinuous conductivities with one measurement. Zbl 1153.35403
Hanke, Martin
5
2008
Why linear sampling really seems to work. Zbl 1180.35560
Hanke, Martin
3
2008
Sampling methods for low-frequency electromagnetic imaging. Zbl 1137.78315
Gebauer, Bastian; Hanke, Martin; Schneider, Christoph
2
2008
Source supports in electrostatics. Zbl 1152.35111
Hanke, Martin; Hyvönen, Nuutti; Lehn, Manfred; Reusswig, Stefanie
2
2008
Identification of small inhomogeneities asymptotic factorization. Zbl 1119.35111
Ammari, Habib; Griesmaier, Roland; Hanke, Martin
15
2007
Foundations of numerical mathematics and scientific computing. 2nd revised and expanded ed. (Grundlagen der numerischen Mathematik und des wissenschaftlichen Rechnens.) Zbl 1109.65001
Hanke-Bourgeois, Martin
1
2006
A sampling method for detecting buried objects using electromagnetic scattering. Zbl 1112.78013
Gebauer, Bastian; Hanke, Martin; Kirsch, Andreas; Muniz, Wagner; Schneider, Christoph
7
2005
Computation of local volatilities from regularized Dupire equations. Zbl 1100.91044
Hanke, Martin; Rösler, Elisabeth
3
2005
A direct impedance tomography algorithm for locating small inhomogeneities. Zbl 1016.65079
Brühl, Martin; Hanke, Martin; Vogelius, Michael S.
42
2003
Recent progress in electrical impedance tomography. Zbl 1048.92022
Hanke, Martin; Brühl, Martin
25
2003
A note on Tikhonov regularization of large linear problems. Zbl 1043.65064
Hanke, Martin
3
2003
Foundations of numerical mathematics and scientific computing. (Grundlagen der numerischen Mathematik und des wissenschaftlichen Rechnens.) Zbl 1010.65001
Hanke-Bourgeois, Martin
2
2002
Inverse problems light: Numerical differentiation. Zbl 1002.65029
Hanke, Martin; Scherzer, Otmar
61
2001
Crack detection using electrostatic measurements. Zbl 0985.35103
Brühl, Martin; Hanke, Martin; Pidcock, Michael
19
2001
Numerical implementation of two noniterative methods for locating inclusions by impedance tomography. Zbl 0955.35076
Brühl, Martin; Hanke, Martin
50
2000
Quasi-Newton approach to nonnegative image restorations. Zbl 0960.65071
Hanke, Martin; Nagy, James G.; Vogel, Curtis
24
2000
Iterative regularization techniques in image reconstruction. Zbl 0972.65123
Hanke, Martin
2
2000
Kernel polynomials for the solution of indefinite and ill-posed problems. Zbl 0996.65057
Frankenberger, Harald; Hanke, Martin
2
2000
Error analysis of an equation error method for the identification of the diffusion coefficient in a quasi-linear parabolic differential equation. Zbl 0928.35198
Hanke, Martin; Scherzer, Otmar
27
1999
Two-level preconditioners for regularized inverse problems. I: Theory. Zbl 0941.65056
Hanke, Martin; Vogel, Curtis R.
16
1999
Nonstationary iterated Tikhonov regularization. Zbl 0910.47005
Hanke, M.; Groetsch, C. W.
37
1998
Inverse Toeplitz preconditioners for ill-posed problems. Zbl 0935.65037
Hanke, Martin; Nagy, James
10
1998
Strong changes of state in collapsing bubbles. Zbl 0925.76858
Hanke, M.; Ballmann, J.
1
1998
A regularizing Levenberg-Marquardt scheme, with applications to inverse groundwater filtration problems. Zbl 0873.65057
Hanke, Martin
106
1997
Regularizing properties of a truncated Newton-cg algorithm for nonlinear inverse problems. Zbl 0899.65038
Hanke, Martin
42
1997
Superlinear convergence rates for the Lanczos method applied to elliptic operators. Zbl 0887.65055
Hanke, Martin
1
1997
Regularization of inverse problems. Zbl 0859.65054
Engl, Heinz W.; Hanke, Martin; Neubauer, Andreas
1996
Limitations of the \(L\)-curve method in ill-posed problems. Zbl 0849.65039
Hanke, Martin
32
1996
Restoration of atmospherically blurred images by symmetric indefinite conjugate gradient techniques. Zbl 0859.65141
Hanke, Martin; Nagy, James G.
31
1996
A general heuristic for choosing the regularization parameter in ill-posed problems. Zbl 0859.65051
Hanke, Martin; Raus, Toomas
27
1996
On the Landweber iteration for nonlinear ill-posed problems. Zbl 0879.65037
Binder, A.; Hanke, M.; Scherzer, O.
7
1996
A note on conjugate-gradient type methods for indefinite and/or inconsistent linear systems. Zbl 0847.65018
Fischer, Bernd; Hanke, Martin; Hochbruck, Marlis
4
1996
A general framework for regularized evaluation of unstable operators. Zbl 0887.47013
Groetsch, Charles W.; Hanke, Martin
2
1996
Asymptotics of orthogonal polynomials and the numerical solution of ill-posed problems. Zbl 0851.65035
Hanke, Martin
1
1996
A convergence analysis of the Landweber iteration for nonlinear ill-posed problems. Zbl 0840.65049
Hanke, Martin; Neubauer, Andreas; Scherzer, Otmar
173
1995
Conjugate gradient type methods for ill-posed problems. Zbl 0830.65043
Hanke, Martin
105
1995
Regularization methods for constrained mechanical multibody systems. Zbl 0888.70014
Eich, E.; Hanke, M.
8
1995
The minimal error conjugate gradient method is a regularization method. Zbl 0851.65033
Hanke, Martin
5
1995
Regularization by projection for unbounded operators arising in inverse problems. Zbl 0823.65053
Groetsch, C. W.; Hanke, Martin
1
1995
Fast preconditioned conjugate gradient algorithms for Wiener-Hopf integral equations. Zbl 0820.65092
Gohberg, I.; Hanke, M.; Koltracht, I.
16
1994
Toeplitz approximate inverse preconditioner for banded Toeplitz matrices. Zbl 0810.65029
Hanke, Martin; Nagy, James G.
5
1994
Asymptotic expansions for regularization methods of linear fully implicit differential-algebraic equations. Zbl 0805.34002
Hanke, M.
4
1994
An optimal stopping rule for the \(v\)-method for solving ill-posed problems, using Christoffel functions. Zbl 0812.41028
Hanke, Martin; Engl, Heinz W.
3
1994
A second look at Nemirovskii’s analysis of the conjugate gradient method. Zbl 0810.65047
Hanke, M.
1
1994
Regularization methods for large-scale problems. Zbl 0805.65058
Hanke, Martin; Hansen, Per Christian
138
1993
Preconditioned iterative regularization for ill-posed problems. Zbl 0794.65039
Hanke, Martin; Nagy, James; Plemmons, Robert
42
1993
A Chebyshev-like semiiteration for inconsistent linear systems. Zbl 0809.65039
Hanke, Martin; Hochbruck, Marlis
14
1993
The geometry of the set of scaled projections. Zbl 0782.15002
Hanke, Martin
3
1993
An \(\epsilon\)-free a posteriori stopping rule for certain iterative regularization methods. Zbl 0783.65051
Hanke, Martin
2
1993
Regularization with differential operators: An iterative approach. Zbl 0769.65027
Hanke, Martin
5
1992
Accelerated Landweber iterations for the solution of ill-posed equations. Zbl 0745.65038
Hanke, Martin
40
1991
Tikhonov regularization of nonlinear differential-algebraic equations. Zbl 0711.34018
Engl, H. W.; Hanke, M.; Neubauer, A.
55
1990
On the acceleration of Kaczmarz’s method for inconsistent linear systems. Zbl 0708.65033
Hanke, Martin; Niethammer, Wilhelm
24
1990
Preconditionings and splittings for rectangular systems. Zbl 0704.65018
Hanke, Martin; Neumann, Michael
16
1990
On the use of small relaxation parameters in Kaczmarz’s method. Zbl 0716.65040
Hanke, M.; Niethammer, W.
4
1990
Iterative Lösung gewichteter linearer Ausgleichsprobleme. (Iterative solution of weighted linear adjustment problems). Zbl 0694.65014
Hanke, Martin
1
1989
all top 5

Cited by 2,135 Authors

74 Reichel, Lothar
29 Hofmann, Bernd
27 Hanke-Bourgeois, Martin
25 Fu, Chuli
25 Kaltenbacher, Barbara
24 Han, Bo
23 Donatelli, Marco
23 Jin, Qinian
23 Wei, Ting
23 Xiong, Xiangtuan
18 Ramlau, Ronny
17 Ammari, Habib M.
17 Neubauer, Andreas
17 Scherzer, Otmar
17 Serra-Capizzano, Stefano
16 Hasanoǧlu, Alemdar
16 Hyvönen, Nuutti
16 Lu, Shuai
16 Nair, M. Thamban
16 Sgallari, Fiorella
15 George, Santhosh
15 Kindermann, Stefan
15 Wei, Yimin
15 Yang, Liu
14 Buccini, Alessandro
14 Deng, Zuicha
14 Jin, Bangti
14 Marin, Liviu
14 Mathé, Peter
14 Morigi, Serena
13 Harrach, Bastian
13 Jbilou, Khalide
13 Pereverzev, Sergei V.
12 Burger, Martin
12 Griesmaier, Roland
12 Hohage, Thorsten
12 Lesnic, Daniel
11 He, Guoqiang
11 Kang, Hyeonbae
11 Leonov, Aleksandr Sergeevich
11 Nagy, James Gerard
11 Qian, Zhi
11 Zou, Jun
10 Estatico, Claudio
10 Haltmeier, Markus
10 Leitão, Antonio
10 Loli Piccolomini, Elena
10 Tautenhahn, Ulrich
9 Bouhamidi, Abderrahman
9 Calvetti, Daniela
9 Chung, Julianne M.
9 Kokurin, Mikhail Yur’evich
9 Landi, Germana
9 Maass, Peter
9 Mahale, Pallavi
9 Needell, Deanna
9 Smirnova, Alexandra B.
9 Zhang, Ye
9 Zhao, Zhenyu
8 Ascher, Uri M.
8 Blanchard, Gilles
8 Cheng, Xiaoliang
8 De Cezaro, Adriano
8 Golubev, Yuriĭ K.
8 Hansen, Per Christian
8 Huang, Ting-Zhu
8 Iglesias, Marco A.
8 Loubes, Jean-Michel
8 Meng, Zehong
8 Noschese, Silvia
8 Novati, Paolo
8 Rajan, M. P.
8 Rodriguez, Giuseppe
8 Sadok, Hassane
8 Stuart, Andrew M.
8 Wang, Wei
8 Zama, Fabiana
8 Zhang, Yuanxiang
7 Bakushinskĭ, Anatoliĭ Borisovich B.
7 Cheng, Hao
7 Đinh Nho Hào
7 Egger, Herbert
7 Favati, Paola
7 Feng, Xiaoli
7 Garde, Henrik
7 Gazzola, Silvia
7 Gerth, Daniel
7 Hämarik, Uno
7 Jia, Zhongxiao
7 Klibanov, Michael V.
7 Kress, Rainer
7 Menchi, Ornella
7 Potthast, Roland W. E.
7 Rosasco, Lorenzo A.
7 Staboulis, Stratos
7 Yu, Jianning
6 Deng, Youjun
6 Dykes, Laura
6 Hochstenbach, Michiel E.
6 Hon, Yiu-Chung
...and 2,035 more Authors
all top 5

Cited in 268 Serials

120 Journal of Computational and Applied Mathematics
102 Inverse Problems
90 Journal of Inverse and Ill-Posed Problems
86 Applied Mathematics and Computation
57 Inverse Problems in Science and Engineering
50 Applied Numerical Mathematics
43 Linear Algebra and its Applications
41 Numerische Mathematik
41 Inverse Problems and Imaging
40 Numerical Algorithms
30 Journal of Computational Physics
29 Numerical Functional Analysis and Optimization
29 SIAM Journal on Scientific Computing
28 BIT
28 Journal of Integral Equations and Applications
27 Computers & Mathematics with Applications
26 Applied Mathematical Modelling
25 Journal of Mathematical Analysis and Applications
25 SIAM Journal on Imaging Sciences
24 Mathematics of Computation
23 Applicable Analysis
21 SIAM Journal on Applied Mathematics
18 Engineering Analysis with Boundary Elements
17 Mathematics and Computers in Simulation
17 Journal of Scientific Computing
16 SIAM Journal on Numerical Analysis
15 Computer Methods in Applied Mechanics and Engineering
15 Advances in Computational Mathematics
14 Journal of Optimization Theory and Applications
14 Journal of Mathematical Imaging and Vision
13 Calcolo
13 International Journal of Computer Mathematics
11 Computational Optimization and Applications
11 Numerical Linear Algebra with Applications
11 Computational Geosciences
10 Mathematical Methods in the Applied Sciences
10 SIAM Journal on Matrix Analysis and Applications
10 ETNA. Electronic Transactions on Numerical Analysis
10 Mathematical Problems in Engineering
10 Electronic Journal of Statistics
9 Applied Mathematics Letters
9 Applied and Computational Harmonic Analysis
9 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
8 Journal of Engineering Mathematics
8 Zeitschrift für Analysis und ihre Anwendungen
8 Computational Mathematics and Mathematical Physics
8 Computational and Applied Mathematics
8 Computational Methods in Applied Mathematics
8 Journal of Applied Mathematics and Computing
8 GEM - International Journal on Geomathematics
7 The Annals of Statistics
7 Mathematical and Computer Modelling
7 SIAM Journal on Mathematical Analysis
7 Russian Mathematics
7 The Journal of Fourier Analysis and Applications
7 Abstract and Applied Analysis
7 International Journal of Computational Methods
6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
6 Acta Mathematicae Applicatae Sinica. English Series
6 SIAM Journal on Optimization
6 Mathematical Methods of Statistics
6 Journal of Shanghai University
6 Communications in Nonlinear Science and Numerical Simulation
6 Multiscale Modeling & Simulation
5 Computer Physics Communications
5 Journal of Mathematical Biology
5 Journal of Complexity
5 Computational Mechanics
5 Journal of Mathematical Sciences (New York)
5 Bernoulli
5 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
5 Foundations of Computational Mathematics
5 Journal of Machine Learning Research (JMLR)
5 Comptes Rendus. Mathématique. Académie des Sciences, Paris
5 SIAM/ASA Journal on Uncertainty Quantification
4 International Journal of Heat and Mass Transfer
4 Journal of Mathematical Physics
4 Computing
4 Integral Equations and Operator Theory
4 Proceedings of the American Mathematical Society
4 Applied Mathematics and Mechanics. (English Edition)
4 Chinese Annals of Mathematics. Series B
4 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
4 Communications in Statistics. Theory and Methods
4 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
4 Journal of Mathematical Chemistry
4 Journal of Inequalities and Applications
4 Nonlinear Analysis. Real World Applications
4 Journal of Applied Mathematics
4 Analysis and Applications (Singapore)
4 East Asian Journal on Applied Mathematics
3 International Journal of Solids and Structures
3 Mathematical Biosciences
3 Bulletin of Mathematical Biology
3 International Journal for Numerical Methods in Engineering
3 Journal of Approximation Theory
3 Journal of Differential Equations
3 Journal of Econometrics
3 Journal of Statistical Planning and Inference
3 SIAM Journal on Control and Optimization
...and 168 more Serials
all top 5

Cited in 52 Fields

1,317 Numerical analysis (65-XX)
555 Partial differential equations (35-XX)
347 Operator theory (47-XX)
168 Calculus of variations and optimal control; optimization (49-XX)
157 Information and communication theory, circuits (94-XX)
151 Statistics (62-XX)
135 Integral equations (45-XX)
127 Biology and other natural sciences (92-XX)
117 Optics, electromagnetic theory (78-XX)
101 Operations research, mathematical programming (90-XX)
99 Computer science (68-XX)
68 Mechanics of deformable solids (74-XX)
63 Linear and multilinear algebra; matrix theory (15-XX)
56 Fluid mechanics (76-XX)
48 Classical thermodynamics, heat transfer (80-XX)
46 Geophysics (86-XX)
42 Probability theory and stochastic processes (60-XX)
34 Systems theory; control (93-XX)
27 Ordinary differential equations (34-XX)
24 Functional analysis (46-XX)
23 Approximations and expansions (41-XX)
23 Integral transforms, operational calculus (44-XX)
22 Harmonic analysis on Euclidean spaces (42-XX)
19 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
16 Functions of a complex variable (30-XX)
14 Potential theory (31-XX)
14 Statistical mechanics, structure of matter (82-XX)
10 Real functions (26-XX)
8 Dynamical systems and ergodic theory (37-XX)
7 Special functions (33-XX)
7 Global analysis, analysis on manifolds (58-XX)
6 Convex and discrete geometry (52-XX)
5 Combinatorics (05-XX)
5 Quantum theory (81-XX)
4 General and overarching topics; collections (00-XX)
4 Difference and functional equations (39-XX)
4 Differential geometry (53-XX)
4 Mechanics of particles and systems (70-XX)
3 Astronomy and astrophysics (85-XX)
2 Sequences, series, summability (40-XX)
2 Mathematics education (97-XX)
1 History and biography (01-XX)
1 Mathematical logic and foundations (03-XX)
1 Field theory and polynomials (12-XX)
1 Algebraic geometry (14-XX)
1 Associative rings and algebras (16-XX)
1 Measure and integration (28-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Abstract harmonic analysis (43-XX)
1 Geometry (51-XX)
1 General topology (54-XX)
1 Manifolds and cell complexes (57-XX)

Citations by Year