Edit Profile (opens in new tab) Hanke-Bourgeois, Martin Compute Distance To: Compute Author ID: hanke-bourgeois.martin Published as: Hanke, Martin; Hanke-Bourgeois, Martin; Hanke, M. more...less Homepage: http://www.mathematik.uni-mainz.de/Members/hanke External Links: MGP Documents Indexed: 104 Publications since 1988, including 7 Books 3 Contributions as Editor Co-Authors: 42 Co-Authors with 63 Joint Publications 1,141 Co-Co-Authors all top 5 Co-Authors 36 single-authored 8 Griesmaier, Roland 7 Hyvönen, Nuutti 6 Kirsch, Andreas 5 Hollborn, Stefanie 5 Nagy, James Gerard 4 Brühl, Martin 4 Niethammer, Wilhelm 4 Scherzer, Otmar 3 Engl, Heinz W. 3 Groetsch, Charles W. 3 Harrach, Bastian 3 Hochbruck, Marlis 3 Neubauer, Andreas 3 Rundell, William 2 Donatelli, Marco 2 Frommer, Fabio 2 Hansen, Per Christian 2 Neumann, Michael 2 Raasch, Thorsten 2 Schneider, Christoph 2 Vogel, Curtis R. 1 Ammari, Habib M. 1 Ballmann, Josef 1 Binder, Andreas 1 Cakoni, Fioralba 1 Chaudhry, Qasim Ali 1 Christiansen, Martin 1 Delbary, Fabrice 1 Drey, Klaus-Dieter 1 Egger, Herbert 1 Eich, Edda 1 Fischer, Bernd 1 Frankenberger, Harald 1 Gohberg, Israel 1 Harhanen, Lauri 1 Ivanizki, Dmitry 1 Koltracht, Israel 1 Lassas, Matti J. 1 Lehn, Manfred 1 Loubenets, A. 1 Muniz, Wagner Barbosa 1 Pidcock, Michael K. 1 Plemmons, Robert James 1 Porz, Nikolas 1 Pötzelberger, Klaus 1 Raus, Toomas 1 Rösler, Elisabeth 1 Schappel, Birgit 1 Schneider, Claus B. 1 Schöberl, Joachim 1 Schweickert, Eva 1 Sylvester, John Herbert 1 Vogelius, Michael S. 1 Warth, L. 1 Zaglmayr, Sabine 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 Letters in Mathematical Physics 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 Journal of Computational and Applied Mathematics 2 SIAM Journal on Mathematical Analysis 2 ETNA. Electronic Transactions on Numerical 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 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 all top 5 Fields 78 Numerical analysis (65-XX) 38 Partial differential equations (35-XX) 25 Operator theory (47-XX) 21 Optics, electromagnetic theory (78-XX) 9 Integral equations (45-XX) 7 Statistical mechanics, structure of matter (82-XX) 7 Information and communication theory, circuits (94-XX) 6 Ordinary differential equations (34-XX) 6 Biology and other natural sciences (92-XX) 5 Computer science (68-XX) 4 General and overarching topics; collections (00-XX) 3 Approximations and expansions (41-XX) 3 Integral transforms, operational calculus (44-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Potential theory (31-XX) 2 Probability theory and stochastic processes (60-XX) 2 Statistics (62-XX) 2 Fluid mechanics (76-XX) 2 Geophysics (86-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) 1 Quantum theory (81-XX) 1 Astronomy and astrophysics (85-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 88 Publications have been cited 2,820 times in 2,053 Documents Cited by ▼ Year ▼ Regularization of inverse problems. Zbl 0859.65054Engl, Heinz W.; Hanke, Martin; Neubauer, Andreas 1,235 1996 A convergence analysis of the Landweber iteration for nonlinear ill-posed problems. Zbl 0840.65049Hanke, Martin; Neubauer, Andreas; Scherzer, Otmar 197 1995 Regularization methods for large-scale problems. Zbl 0805.65058Hanke, Martin; Hansen, Per Christian 147 1993 A regularizing Levenberg-Marquardt scheme, with applications to inverse groundwater filtration problems. Zbl 0873.65057Hanke, Martin 130 1997 Conjugate gradient type methods for ill-posed problems. Zbl 0830.65043Hanke, Martin 113 1995 Inverse problems light: Numerical differentiation. Zbl 1002.65029Hanke, Martin; Scherzer, Otmar 66 2001 Tikhonov regularization of nonlinear differential-algebraic equations. Zbl 0711.34018Engl, H. W.; Hanke, M.; Neubauer, A. 55 1990 Numerical implementation of two noniterative methods for locating inclusions by impedance tomography. Zbl 0955.35076Brühl, Martin; Hanke, Martin 53 2000 A direct impedance tomography algorithm for locating small inhomogeneities. Zbl 1016.65079Brühl, Martin; Hanke, Martin; Vogelius, Michael S. 48 2003 Preconditioned iterative regularization for ill-posed problems. Zbl 0794.65039Hanke, Martin; Nagy, James; Plemmons, Robert 43 1993 Regularizing properties of a truncated Newton-cg algorithm for nonlinear inverse problems. Zbl 0899.65038Hanke, Martin 42 1997 Nonstationary iterated Tikhonov regularization. Zbl 0910.47005Hanke, M.; Groetsch, C. W. 41 1998 Accelerated Landweber iterations for the solution of ill-posed equations. Zbl 0745.65038Hanke, Martin 41 1991 Limitations of the \(L\)-curve method in ill-posed problems. Zbl 0849.65039Hanke, Martin 32 1996 Restoration of atmospherically blurred images by symmetric indefinite conjugate gradient techniques. Zbl 0859.65141Hanke, Martin; Nagy, James G. 32 1996 A general heuristic for choosing the regularization parameter in ill-posed problems. Zbl 0859.65051Hanke, Martin; Raus, Toomas 31 1996 Recent progress in electrical impedance tomography. Zbl 1048.92022Hanke, Martin; Brühl, Martin 29 2003 Error analysis of an equation error method for the identification of the diffusion coefficient in a quasi-linear parabolic differential equation. Zbl 0928.35198Hanke, Martin; Scherzer, Otmar 28 1999 Quasi-Newton approach to nonnegative image restorations. Zbl 0960.65071Hanke, Martin; Nagy, James G.; Vogel, Curtis 26 2000 On the acceleration of Kaczmarz’s method for inconsistent linear systems. Zbl 0708.65033Hanke, Martin; Niethammer, Wilhelm 25 1990 Crack detection using electrostatic measurements. Zbl 0985.35103Brühl, Martin; Hanke, Martin; Pidcock, Michael 21 2001 Justification of point electrode models in electrical impedance tomography. Zbl 1219.65126Hanke, Martin; Harrach, Bastian; Hyvönen, Nuutti 18 2011 Fast nonstationary preconditioned iterative methods for ill-posed problems, with application to image deblurring. Zbl 1285.65030Donatelli, Marco; Hanke, Martin 17 2013 The regularizing Levenberg-Marquardt scheme is of optimal order. Zbl 1204.65059Hanke, Martin 17 2010 Preconditionings and splittings for rectangular systems. Zbl 0704.65018Hanke, Martin; Neumann, Michael 16 1990 Two-level preconditioners for regularized inverse problems. I: Theory. Zbl 0941.65056Hanke, Martin; Vogel, Curtis R. 16 1999 Identification of small inhomogeneities asymptotic factorization. Zbl 1119.35111Ammari, Habib; Griesmaier, Roland; Hanke, Martin 16 2007 Fast preconditioned conjugate gradient algorithms for Wiener-Hopf integral equations. Zbl 0820.65092Gohberg, I.; Hanke, M.; Koltracht, I. 16 1994 A Chebyshev-like semiiteration for inconsistent linear systems. Zbl 0809.65039Hanke, Martin; Hochbruck, Marlis 15 1993 On rational approximation methods for inverse source problems. Zbl 1215.35166Hanke, Martin; Rundell, William 14 2011 Deblurring methods using antireflective boundary conditions. Zbl 1167.65361Christiansen, Martin; Hanke, Martin 13 2008 Far field splitting for the Helmholtz equation. Zbl 1295.35381Griesmaier, Roland; Hanke, Martin; Sylvester, John 12 2014 Inverse Toeplitz preconditioners for ill-posed problems. Zbl 0935.65037Hanke, Martin; Nagy, James 11 1998 Inverse source problems for the Helmholtz equation and the windowed Fourier transform. Zbl 1251.35187Griesmaier, Roland; Hanke, Martin; Raasch, Thorsten 10 2012 Inverse source problems for the Helmholtz equation and the windowed Fourier transform. II. Zbl 1282.35412Griesmaier, Roland; Hanke, Martin; Raasch, Thorsten 8 2013 The factorization method for electrical impedance tomography in the half-space. Zbl 1151.65085Hanke, Martin; Schappel, Birgit 8 2008 Regularization methods for constrained mechanical multibody systems. Zbl 0888.70014Eich, E.; Hanke, M. 8 1995 Highly accurate finite element method for one-dimensional elliptic interface problems. Zbl 1181.65109Loubenets, A.; Ali, T.; Hanke, M. 8 2009 A sampling method for detecting buried objects using electromagnetic scattering. Zbl 1112.78013Gebauer, Bastian; Hanke, Martin; Kirsch, Andreas; Muniz, Wagner; Schneider, Christoph 7 2005 On the Landweber iteration for nonlinear ill-posed problems. Zbl 0879.65037Binder, A.; Hanke, M.; Scherzer, O. 7 1996 Convex backscattering support in electric impedance tomography. Zbl 1215.78011Hanke, Martin; Hyvönen, Nuutti; Reusswig, Stefanie 7 2011 Sampling methods. Zbl 1259.35222Hanke, Martin; Kirsch, Andreas 7 2011 On real-time algorithms for the location search of discontinuous conductivities with one measurement. Zbl 1153.35403Hanke, Martin 6 2008 Convex source support and its application to electric impedance tomography. Zbl 1179.35345Hanke, Martin; Hyvönen, Nuutti; Reusswig, Stefanie 6 2008 Regularization with differential operators: An iterative approach. Zbl 0769.65027Hanke, Martin 6 1992 Foundations of numerical mathematics and scientific computing. 3rd revised ed. (Grundlagen der numerischen Mathematik und des wissenschaftlichen Rechnens.) Zbl 1155.65001Hanke-Bourgeois, Martin 6 2009 Sampling methods. 2nd edition. Zbl 1331.35385Hanke-Bourgeois, Martin; Kirsch, Andreas 5 2015 A taste of inverse problems. Basic theory and examples. Zbl 1381.65042Hanke, Martin 5 2017 The minimal error conjugate gradient method is a regularization method. Zbl 0851.65033Hanke, Martin 5 1995 A note on conjugate-gradient type methods for indefinite and/or inconsistent linear systems. Zbl 0847.65018Fischer, Bernd; Hanke, Martin; Hochbruck, Marlis 5 1996 Toeplitz approximate inverse preconditioner for banded Toeplitz matrices. Zbl 0810.65029Hanke, Martin; Nagy, James G. 5 1994 On the use of small relaxation parameters in Kaczmarz’s method. Zbl 0716.65040Hanke, M.; Niethammer, W. 4 1990 Multifrequency impedance imaging with multiple signal classification. Zbl 1432.94014Griesmaier, Roland; Hanke, Martin 4 2015 An inverse backscatter problem for electric impedance tomography. Zbl 1197.35321Hanke, Martin; Hyvönen, Nuutti; Reusswig, Stefanie 4 2009 On the condition number of the antireflective transform. Zbl 1181.94041Donatelli, Marco; Hanke, Martin 4 2010 Asymptotic expansions for regularization methods of linear fully implicit differential-algebraic equations. Zbl 0805.34002Hanke, M. 4 1994 One shot inverse scattering via rational approximation. Zbl 1248.35233Hanke, Martin 4 2012 A note on the nonlinear Landweber iteration. Zbl 1307.65078Hanke, Martin 3 2014 Why linear sampling really seems to work. Zbl 1180.35560Hanke, Martin 3 2008 Computation of local volatilities from regularized Dupire equations. Zbl 1100.91044Hanke, Martin; Rösler, Elisabeth 3 2005 A note on Tikhonov regularization of large linear problems. Zbl 1043.65064Hanke, Martin 3 2003 The geometry of the set of scaled projections. Zbl 0782.15002Hanke, Martin 3 1993 Well-posedness of the iterative Boltzmann inversion. Zbl 1390.82022Hanke, Martin 3 2018 Surface reactions on the cytoplasmatic membranes – mathematical modeling of reaction and diffusion systems in a cell. Zbl 1301.92022Chaudhry, Q. A.; Hanke, M.; Morgenstern, R.; Dreij, K. 3 2014 Locating several small inclusions in impedance tomography from backscatter data. Zbl 1233.35203Hanke, Martin 3 2011 An optimal stopping rule for the \(v\)-method for solving ill-posed problems, using Christoffel functions. Zbl 0812.41028Hanke, Martin; Engl, Heinz W. 3 1994 Strong changes of state in collapsing bubbles. Zbl 0925.76858Hanke, M.; Ballmann, J. 2 1998 Sampling methods for low-frequency electromagnetic imaging. Zbl 1137.78315Gebauer, Bastian; Hanke, Martin; Schneider, Christoph 2 2008 Source supports in electrostatics. Zbl 1152.35111Hanke, Martin; Hyvönen, Nuutti; Lehn, Manfred; Reusswig, Stefanie 2 2008 Iterative regularization techniques in image reconstruction. Zbl 0972.65123Hanke, Martin 2 2000 Kernel polynomials for the solution of indefinite and ill-posed problems. Zbl 0996.65057Frankenberger, Harald; Hanke, Martin 2 2000 Foundations of numerical mathematics and scientific computing. (Grundlagen der numerischen Mathematik und des wissenschaftlichen Rechnens.) Zbl 1010.65001Hanke-Bourgeois, Martin 2 2002 A general framework for regularized evaluation of unstable operators. Zbl 0887.47013Groetsch, Charles W.; Hanke, Martin 2 1996 MUSIC-characterization of small scatterers for normal measurement data. Zbl 1167.35542Griesmaier, Roland; Hanke, Martin 2 2009 Fréchet differentiability of molecular distribution functions. I: \(L^\infty \) analysis. Zbl 1383.82010Hanke, Martin 2 2018 An \(\epsilon\)-free a posteriori stopping rule for certain iterative regularization methods. Zbl 0783.65051Hanke, Martin 2 1993 An asymptotic factorization method for inverse electromagnetic scattering in layered media. II: A numerical study. Zbl 1179.78063Griesmaier, Roland; Hanke, Martin 2 2009 A note on the MUSIC algorithm for impedance tomography. Zbl 06691652Hanke, Martin 2 2017 Regularization by projection for unbounded operators arising in inverse problems. Zbl 0823.65053Groetsch, C. W.; Hanke, Martin 1 1995 Superlinear convergence rates for the Lanczos method applied to elliptic operators. Zbl 0887.65055Hanke, Martin 1 1997 A note on the uniqueness result for the inverse Henderson problem. Zbl 1422.82018Frommer, F.; Hanke, M.; Jansen, S. 1 2019 Fréchet differentiability of molecular distribution functions. II: The Ursell function. Zbl 1383.82011Hanke, Martin 1 2018 Foundations of numerical mathematics and scientific computing. 2nd revised and expanded ed. (Grundlagen der numerischen Mathematik und des wissenschaftlichen Rechnens.) Zbl 1109.65001Hanke-Bourgeois, Martin 1 2006 Iterative Lösung gewichteter linearer Ausgleichsprobleme. (Iterative solution of weighted linear adjustment problems). Zbl 0694.65014Hanke, Martin 1 1989 Unique solvability of a system of ordinary differential equations modeling a warm cloud parcel. Zbl 1437.37113Hanke, Martin; Porz, Nikolas 1 2020 Asymptotics of orthogonal polynomials and the numerical solution of ill-posed problems. Zbl 0851.65035Hanke, Martin 1 1996 Convex source support in three dimensions. Zbl 1238.65108Hanke, Martin; Harhanen, Lauri; Hyvönen, Nuutti; Schweickert, Eva 1 2012 A second look at Nemirovskii’s analysis of the conjugate gradient method. Zbl 0810.65047Hanke, M. 1 1994 Unique solvability of a system of ordinary differential equations modeling a warm cloud parcel. Zbl 1437.37113Hanke, Martin; Porz, Nikolas 1 2020 A note on the uniqueness result for the inverse Henderson problem. Zbl 1422.82018Frommer, F.; Hanke, M.; Jansen, S. 1 2019 Well-posedness of the iterative Boltzmann inversion. Zbl 1390.82022Hanke, Martin 3 2018 Fréchet differentiability of molecular distribution functions. I: \(L^\infty \) analysis. Zbl 1383.82010Hanke, Martin 2 2018 Fréchet differentiability of molecular distribution functions. II: The Ursell function. Zbl 1383.82011Hanke, Martin 1 2018 A taste of inverse problems. Basic theory and examples. Zbl 1381.65042Hanke, Martin 5 2017 A note on the MUSIC algorithm for impedance tomography. Zbl 06691652Hanke, Martin 2 2017 Sampling methods. 2nd edition. Zbl 1331.35385Hanke-Bourgeois, Martin; Kirsch, Andreas 5 2015 Multifrequency impedance imaging with multiple signal classification. Zbl 1432.94014Griesmaier, Roland; Hanke, Martin 4 2015 Far field splitting for the Helmholtz equation. Zbl 1295.35381Griesmaier, Roland; Hanke, Martin; Sylvester, John 12 2014 A note on the nonlinear Landweber iteration. Zbl 1307.65078Hanke, Martin 3 2014 Surface reactions on the cytoplasmatic membranes – mathematical modeling of reaction and diffusion systems in a cell. Zbl 1301.92022Chaudhry, Q. A.; Hanke, M.; Morgenstern, R.; Dreij, K. 3 2014 Fast nonstationary preconditioned iterative methods for ill-posed problems, with application to image deblurring. Zbl 1285.65030Donatelli, Marco; Hanke, Martin 17 2013 Inverse source problems for the Helmholtz equation and the windowed Fourier transform. II. Zbl 1282.35412Griesmaier, Roland; Hanke, Martin; Raasch, Thorsten 8 2013 Inverse source problems for the Helmholtz equation and the windowed Fourier transform. Zbl 1251.35187Griesmaier, Roland; Hanke, Martin; Raasch, Thorsten 10 2012 One shot inverse scattering via rational approximation. Zbl 1248.35233Hanke, Martin 4 2012 Convex source support in three dimensions. Zbl 1238.65108Hanke, Martin; Harhanen, Lauri; Hyvönen, Nuutti; Schweickert, Eva 1 2012 Justification of point electrode models in electrical impedance tomography. Zbl 1219.65126Hanke, Martin; Harrach, Bastian; Hyvönen, Nuutti 18 2011 On rational approximation methods for inverse source problems. Zbl 1215.35166Hanke, Martin; Rundell, William 14 2011 Convex backscattering support in electric impedance tomography. Zbl 1215.78011Hanke, Martin; Hyvönen, Nuutti; Reusswig, Stefanie 7 2011 Sampling methods. Zbl 1259.35222Hanke, Martin; Kirsch, Andreas 7 2011 Locating several small inclusions in impedance tomography from backscatter data. Zbl 1233.35203Hanke, Martin 3 2011 The regularizing Levenberg-Marquardt scheme is of optimal order. Zbl 1204.65059Hanke, Martin 17 2010 On the condition number of the antireflective transform. Zbl 1181.94041Donatelli, Marco; Hanke, Martin 4 2010 Highly accurate finite element method for one-dimensional elliptic interface problems. Zbl 1181.65109Loubenets, 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 1155.65001Hanke-Bourgeois, Martin 6 2009 An inverse backscatter problem for electric impedance tomography. Zbl 1197.35321Hanke, Martin; Hyvönen, Nuutti; Reusswig, Stefanie 4 2009 MUSIC-characterization of small scatterers for normal measurement data. Zbl 1167.35542Griesmaier, Roland; Hanke, Martin 2 2009 An asymptotic factorization method for inverse electromagnetic scattering in layered media. II: A numerical study. Zbl 1179.78063Griesmaier, Roland; Hanke, Martin 2 2009 Deblurring methods using antireflective boundary conditions. Zbl 1167.65361Christiansen, Martin; Hanke, Martin 13 2008 The factorization method for electrical impedance tomography in the half-space. Zbl 1151.65085Hanke, Martin; Schappel, Birgit 8 2008 On real-time algorithms for the location search of discontinuous conductivities with one measurement. Zbl 1153.35403Hanke, Martin 6 2008 Convex source support and its application to electric impedance tomography. Zbl 1179.35345Hanke, Martin; Hyvönen, Nuutti; Reusswig, Stefanie 6 2008 Why linear sampling really seems to work. Zbl 1180.35560Hanke, Martin 3 2008 Sampling methods for low-frequency electromagnetic imaging. Zbl 1137.78315Gebauer, Bastian; Hanke, Martin; Schneider, Christoph 2 2008 Source supports in electrostatics. Zbl 1152.35111Hanke, Martin; Hyvönen, Nuutti; Lehn, Manfred; Reusswig, Stefanie 2 2008 Identification of small inhomogeneities asymptotic factorization. Zbl 1119.35111Ammari, Habib; Griesmaier, Roland; Hanke, Martin 16 2007 Foundations of numerical mathematics and scientific computing. 2nd revised and expanded ed. (Grundlagen der numerischen Mathematik und des wissenschaftlichen Rechnens.) Zbl 1109.65001Hanke-Bourgeois, Martin 1 2006 A sampling method for detecting buried objects using electromagnetic scattering. Zbl 1112.78013Gebauer, Bastian; Hanke, Martin; Kirsch, Andreas; Muniz, Wagner; Schneider, Christoph 7 2005 Computation of local volatilities from regularized Dupire equations. Zbl 1100.91044Hanke, Martin; Rösler, Elisabeth 3 2005 A direct impedance tomography algorithm for locating small inhomogeneities. Zbl 1016.65079Brühl, Martin; Hanke, Martin; Vogelius, Michael S. 48 2003 Recent progress in electrical impedance tomography. Zbl 1048.92022Hanke, Martin; Brühl, Martin 29 2003 A note on Tikhonov regularization of large linear problems. Zbl 1043.65064Hanke, Martin 3 2003 Foundations of numerical mathematics and scientific computing. (Grundlagen der numerischen Mathematik und des wissenschaftlichen Rechnens.) Zbl 1010.65001Hanke-Bourgeois, Martin 2 2002 Inverse problems light: Numerical differentiation. Zbl 1002.65029Hanke, Martin; Scherzer, Otmar 66 2001 Crack detection using electrostatic measurements. Zbl 0985.35103Brühl, Martin; Hanke, Martin; Pidcock, Michael 21 2001 Numerical implementation of two noniterative methods for locating inclusions by impedance tomography. Zbl 0955.35076Brühl, Martin; Hanke, Martin 53 2000 Quasi-Newton approach to nonnegative image restorations. Zbl 0960.65071Hanke, Martin; Nagy, James G.; Vogel, Curtis 26 2000 Iterative regularization techniques in image reconstruction. Zbl 0972.65123Hanke, Martin 2 2000 Kernel polynomials for the solution of indefinite and ill-posed problems. Zbl 0996.65057Frankenberger, 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 0928.35198Hanke, Martin; Scherzer, Otmar 28 1999 Two-level preconditioners for regularized inverse problems. I: Theory. Zbl 0941.65056Hanke, Martin; Vogel, Curtis R. 16 1999 Nonstationary iterated Tikhonov regularization. Zbl 0910.47005Hanke, M.; Groetsch, C. W. 41 1998 Inverse Toeplitz preconditioners for ill-posed problems. Zbl 0935.65037Hanke, Martin; Nagy, James 11 1998 Strong changes of state in collapsing bubbles. Zbl 0925.76858Hanke, M.; Ballmann, J. 2 1998 A regularizing Levenberg-Marquardt scheme, with applications to inverse groundwater filtration problems. Zbl 0873.65057Hanke, Martin 130 1997 Regularizing properties of a truncated Newton-cg algorithm for nonlinear inverse problems. Zbl 0899.65038Hanke, Martin 42 1997 Superlinear convergence rates for the Lanczos method applied to elliptic operators. Zbl 0887.65055Hanke, Martin 1 1997 Regularization of inverse problems. Zbl 0859.65054Engl, Heinz W.; Hanke, Martin; Neubauer, Andreas 1,235 1996 Limitations of the \(L\)-curve method in ill-posed problems. Zbl 0849.65039Hanke, Martin 32 1996 Restoration of atmospherically blurred images by symmetric indefinite conjugate gradient techniques. Zbl 0859.65141Hanke, Martin; Nagy, James G. 32 1996 A general heuristic for choosing the regularization parameter in ill-posed problems. Zbl 0859.65051Hanke, Martin; Raus, Toomas 31 1996 On the Landweber iteration for nonlinear ill-posed problems. Zbl 0879.65037Binder, A.; Hanke, M.; Scherzer, O. 7 1996 A note on conjugate-gradient type methods for indefinite and/or inconsistent linear systems. Zbl 0847.65018Fischer, Bernd; Hanke, Martin; Hochbruck, Marlis 5 1996 A general framework for regularized evaluation of unstable operators. Zbl 0887.47013Groetsch, Charles W.; Hanke, Martin 2 1996 Asymptotics of orthogonal polynomials and the numerical solution of ill-posed problems. Zbl 0851.65035Hanke, Martin 1 1996 A convergence analysis of the Landweber iteration for nonlinear ill-posed problems. Zbl 0840.65049Hanke, Martin; Neubauer, Andreas; Scherzer, Otmar 197 1995 Conjugate gradient type methods for ill-posed problems. Zbl 0830.65043Hanke, Martin 113 1995 Regularization methods for constrained mechanical multibody systems. Zbl 0888.70014Eich, E.; Hanke, M. 8 1995 The minimal error conjugate gradient method is a regularization method. Zbl 0851.65033Hanke, Martin 5 1995 Regularization by projection for unbounded operators arising in inverse problems. Zbl 0823.65053Groetsch, C. W.; Hanke, Martin 1 1995 Fast preconditioned conjugate gradient algorithms for Wiener-Hopf integral equations. Zbl 0820.65092Gohberg, I.; Hanke, M.; Koltracht, I. 16 1994 Toeplitz approximate inverse preconditioner for banded Toeplitz matrices. Zbl 0810.65029Hanke, Martin; Nagy, James G. 5 1994 Asymptotic expansions for regularization methods of linear fully implicit differential-algebraic equations. Zbl 0805.34002Hanke, M. 4 1994 An optimal stopping rule for the \(v\)-method for solving ill-posed problems, using Christoffel functions. Zbl 0812.41028Hanke, Martin; Engl, Heinz W. 3 1994 A second look at Nemirovskii’s analysis of the conjugate gradient method. Zbl 0810.65047Hanke, M. 1 1994 Regularization methods for large-scale problems. Zbl 0805.65058Hanke, Martin; Hansen, Per Christian 147 1993 Preconditioned iterative regularization for ill-posed problems. Zbl 0794.65039Hanke, Martin; Nagy, James; Plemmons, Robert 43 1993 A Chebyshev-like semiiteration for inconsistent linear systems. Zbl 0809.65039Hanke, Martin; Hochbruck, Marlis 15 1993 The geometry of the set of scaled projections. Zbl 0782.15002Hanke, Martin 3 1993 An \(\epsilon\)-free a posteriori stopping rule for certain iterative regularization methods. Zbl 0783.65051Hanke, Martin 2 1993 Regularization with differential operators: An iterative approach. Zbl 0769.65027Hanke, Martin 6 1992 Accelerated Landweber iterations for the solution of ill-posed equations. Zbl 0745.65038Hanke, Martin 41 1991 Tikhonov regularization of nonlinear differential-algebraic equations. Zbl 0711.34018Engl, H. W.; Hanke, M.; Neubauer, A. 55 1990 On the acceleration of Kaczmarz’s method for inconsistent linear systems. Zbl 0708.65033Hanke, Martin; Niethammer, Wilhelm 25 1990 Preconditionings and splittings for rectangular systems. Zbl 0704.65018Hanke, Martin; Neumann, Michael 16 1990 On the use of small relaxation parameters in Kaczmarz’s method. Zbl 0716.65040Hanke, M.; Niethammer, W. 4 1990 Iterative Lösung gewichteter linearer Ausgleichsprobleme. (Iterative solution of weighted linear adjustment problems). Zbl 0694.65014Hanke, Martin 1 1989 all cited Publications top 5 cited Publications all top 5 Cited by 2,394 Authors 78 Reichel, Lothar 31 Han, Bo 30 Hofmann, Bernd 30 Kaltenbacher, Barbara 29 Hanke-Bourgeois, Martin 27 Xiong, Xiangtuan 25 Donatelli, Marco 25 Fu, Chuli 25 Wei, Ting 24 Jin, Qinian 21 Kindermann, Stefan 21 Ramlau, Ronny 20 Scherzer, Otmar 19 Buccini, Alessandro 19 Nair, M. Thamban 18 Hyvönen, Nuutti 18 Jin, Bangti 18 Neubauer, Andreas 17 Ammari, Habib M. 17 Lu, Shuai 17 Serra-Capizzano, Stefano 17 Yang, Liu 16 Deng, Zuicha 16 Hasanoǧlu, Alemdar 16 Mathé, Peter 16 Sgallari, Fiorella 15 George, Santhosh 15 Marin, Liviu 15 Wei, Yimin 14 Harrach, Bastian 14 Leonov, Aleksandr Sergeevich 14 Morigi, Serena 13 Hohage, Thorsten 13 Jbilou, Khalide 13 Leitão, Antonio 13 Pereverzev, Sergei V. 13 Zou, Jun 12 Burger, Martin 12 Griesmaier, Roland 12 Lesnic, Daniel 12 Nagy, James Gerard 12 Qian, Zhi 11 He, Guoqiang 11 Kang, Hyeonbae 11 Landi, Germana 11 Loli Piccolomini, Elena 11 Stuart, Andrew M. 10 Chung, Julianne M. 10 Estatico, Claudio 10 Haltmeier, Markus 10 Mahale, Pallavi 10 Needell, Deanna 10 Smirnova, Alexandra B. 10 Tautenhahn, Ulrich 10 Viloche Bazán, Fermín S. 10 Wang, Wei 10 Zhang, Ye 9 Bakushinskĭ, Anatoliĭ Borisovich B. 9 Bouhamidi, Abderrahman 9 Calvetti, Daniela 9 Gerth, Daniel 9 Hansen, Per Christian 9 Li, Xiaoxiao 9 Maass, Peter 9 Novati, Paolo 9 Rodriguez, Giuseppe 9 Yang, Fan 9 Zhang, Yuanxiang 9 Zhao, Zhenyu 8 Ascher, Uri M. 8 Blanchard, Gilles 8 Cheng, Xiaoliang 8 De Cezaro, Adriano 8 Đinh Nho Hào 8 Feng, Xiaoli 8 Garde, Henrik 8 Golubev, Yuriĭ K. 8 Hämarik, Uno 8 Huang, Ting-Zhu 8 Iglesias, Marco A. 8 Klibanov, Michael V. 8 Loubes, Jean-Michel 8 Meng, Zehong 8 Noschese, Silvia 8 Rajan, M. P. 8 Rosasco, Lorenzo A. 8 Sadok, Hassane 8 Tong, Shanshan 8 Yang, Hongqi 8 Zama, Fabiana 7 Cheng, Hao 7 Cheng, Jin 7 Egger, Herbert 7 Favati, Paola 7 Gazzola, Silvia 7 Huang, Guang-Xin 7 Jia, Zhongxiao 7 Knudsen, Kim M. 7 Kress, Rainer 7 Liu, Ji-Chuan ...and 2,294 more Authors all top 5 Cited in 300 Serials 128 Journal of Computational and Applied Mathematics 125 Inverse Problems 97 Journal of Inverse and Ill-Posed Problems 87 Applied Mathematics and Computation 65 Inverse Problems in Science and Engineering 51 Applied Numerical Mathematics 49 Inverse Problems and Imaging 46 Numerical Algorithms 44 Linear Algebra and its Applications 43 Numerische Mathematik 35 Journal of Computational Physics 34 Numerical Functional Analysis and Optimization 32 SIAM Journal on Scientific Computing 32 SIAM Journal on Imaging Sciences 30 BIT 29 Computers & Mathematics with Applications 28 Mathematics of Computation 28 Journal of Integral Equations and Applications 26 Applicable Analysis 26 Applied Mathematical Modelling 25 Journal of Mathematical Analysis and Applications 22 SIAM Journal on Applied Mathematics 19 Mathematics and Computers in Simulation 18 Journal of Scientific Computing 18 Engineering Analysis with Boundary Elements 17 SIAM Journal on Numerical Analysis 16 International Journal of Computer Mathematics 16 Journal of Mathematical Imaging and Vision 16 ETNA. Electronic Transactions on Numerical Analysis 15 Computer Methods in Applied Mechanics and Engineering 15 Journal of Optimization Theory and Applications 15 Advances in Computational Mathematics 13 Calcolo 13 SIAM Journal on Matrix Analysis and Applications 13 Computational Optimization and Applications 12 Electronic Journal of Statistics 11 Computational Mathematics and Mathematical Physics 11 Numerical Linear Algebra with Applications 11 Computational Geosciences 11 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 10 Mathematical Methods in the Applied Sciences 10 Computational and Applied Mathematics 10 Mathematical Problems in Engineering 10 Computational Methods in Applied Mathematics 9 Applied Mathematics Letters 9 SIAM Journal on Mathematical Analysis 9 Applied and Computational Harmonic Analysis 9 Journal of Applied Mathematics and Computing 9 GEM - International Journal on Geomathematics 8 Journal of Engineering Mathematics 8 Zeitschrift für Analysis und ihre Anwendungen 8 International Journal of Computational Methods 7 The Annals of Statistics 7 Mathematical and Computer Modelling 7 Russian Mathematics 7 The Journal of Fourier Analysis and Applications 7 Abstract and Applied Analysis 7 Communications in Nonlinear Science and Numerical Simulation 7 Multiscale Modeling & Simulation 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 Mathematical Sciences (New York) 6 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 6 Journal of Shanghai University 6 Foundations of Computational Mathematics 6 Journal of Machine Learning Research (JMLR) 6 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Computer Physics Communications 5 Journal of Mathematical Biology 5 Journal of Complexity 5 Computational Mechanics 5 Bernoulli 5 Journal of Inequalities and Applications 5 Optimization and Engineering 5 Analysis and Applications (Singapore) 5 SIAM/ASA Journal on Uncertainty Quantification 5 AIMS Mathematics 4 International Journal of Heat and Mass Transfer 4 Journal of Mathematical Physics 4 Applied Mathematics and Optimization 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 Filomat 4 Journal of Mathematical Chemistry 4 Nonlinear Analysis. Real World Applications 4 Journal of Applied Mathematics 4 East Asian Journal on Applied Mathematics 3 International Journal of Solids and Structures 3 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 3 Mathematical Biosciences 3 Bulletin of Mathematical Biology 3 International Journal for Numerical Methods in Engineering ...and 200 more Serials all top 5 Cited in 52 Fields 1,474 Numerical analysis (65-XX) 649 Partial differential equations (35-XX) 388 Operator theory (47-XX) 183 Calculus of variations and optimal control; optimization (49-XX) 177 Statistics (62-XX) 173 Information and communication theory, circuits (94-XX) 143 Integral equations (45-XX) 140 Biology and other natural sciences (92-XX) 138 Optics, electromagnetic theory (78-XX) 121 Operations research, mathematical programming (90-XX) 119 Computer science (68-XX) 74 Mechanics of deformable solids (74-XX) 69 Linear and multilinear algebra; matrix theory (15-XX) 63 Fluid mechanics (76-XX) 52 Classical thermodynamics, heat transfer (80-XX) 48 Geophysics (86-XX) 45 Probability theory and stochastic processes (60-XX) 41 Systems theory; control (93-XX) 31 Ordinary differential equations (34-XX) 28 Functional analysis (46-XX) 27 Integral transforms, operational calculus (44-XX) 24 Approximations and expansions (41-XX) 24 Harmonic analysis on Euclidean spaces (42-XX) 21 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 19 Real functions (26-XX) 17 Functions of a complex variable (30-XX) 16 Potential theory (31-XX) 16 Statistical mechanics, structure of matter (82-XX) 10 Dynamical systems and ergodic theory (37-XX) 7 Global analysis, analysis on manifolds (58-XX) 7 Quantum theory (81-XX) 6 Combinatorics (05-XX) 6 Special functions (33-XX) 6 Convex and discrete geometry (52-XX) 5 General and overarching topics; collections (00-XX) 5 Differential geometry (53-XX) 4 Difference and functional equations (39-XX) 4 Mechanics of particles and systems (70-XX) 3 Astronomy and astrophysics (85-XX) 3 Mathematics education (97-XX) 2 Measure and integration (28-XX) 2 Sequences, series, summability (40-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 Several complex variables and analytic spaces (32-XX) 1 Abstract harmonic analysis (43-XX) 1 Geometry (51-XX) 1 Manifolds and cell complexes (57-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year