Edit Profile Hanke-Bourgeois, Martin Compute Distance To: Compute Author ID: 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 Co-Authors 35 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 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 Frommer, F. 1 Gohberg, Israel 1 Harhanen, Lauri 1 Ivanizki, Dmitry 1 Koltracht, Israel 1 Lassas, Matti 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 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 all top 5 Fields 76 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 Information and communication theory, circuits (94-XX) 6 Ordinary differential equations (34-XX) 6 Statistical mechanics, structure of matter (82-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 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 85 Publications have been cited 2,537 times in 1,828 Documents Cited by ▼ Year ▼ Regularization of inverse problems. Zbl 0859.65054Engl, Heinz W.; Hanke, Martin; Neubauer, Andreas 1,083 1996 A convergence analysis of the Landweber iteration for nonlinear ill-posed problems. Zbl 0840.65049Hanke, Martin; Neubauer, Andreas; Scherzer, Otmar 173 1995 Regularization methods for large-scale problems. Zbl 0805.65058Hanke, Martin; Hansen, Per Christian 138 1993 A regularizing Levenberg-Marquardt scheme, with applications to inverse groundwater filtration problems. Zbl 0873.65057Hanke, Martin 106 1997 Conjugate gradient type methods for ill-posed problems. Zbl 0830.65043Hanke, Martin 105 1995 Inverse problems light: Numerical differentiation. Zbl 1002.65029Hanke, Martin; Scherzer, Otmar 61 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 50 2000 Regularizing properties of a truncated Newton-cg algorithm for nonlinear inverse problems. Zbl 0899.65038Hanke, Martin 42 1997 Preconditioned iterative regularization for ill-posed problems. Zbl 0794.65039Hanke, Martin; Nagy, James; Plemmons, Robert 42 1993 A direct impedance tomography algorithm for locating small inhomogeneities. Zbl 1016.65079Brühl, Martin; Hanke, Martin; Vogelius, Michael S. 42 2003 Accelerated Landweber iterations for the solution of ill-posed equations. Zbl 0745.65038Hanke, Martin 40 1991 Nonstationary iterated Tikhonov regularization. Zbl 0910.47005Hanke, M.; Groetsch, C. W. 37 1998 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. 31 1996 A general heuristic for choosing the regularization parameter in ill-posed problems. Zbl 0859.65051Hanke, 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 0928.35198Hanke, Martin; Scherzer, Otmar 27 1999 Recent progress in electrical impedance tomography. Zbl 1048.92022Hanke, Martin; Brühl, Martin 25 2003 Quasi-Newton approach to nonnegative image restorations. Zbl 0960.65071Hanke, Martin; Nagy, James G.; Vogel, Curtis 24 2000 On the acceleration of Kaczmarz’s method for inconsistent linear systems. Zbl 0708.65033Hanke, Martin; Niethammer, Wilhelm 24 1990 Crack detection using electrostatic measurements. Zbl 0985.35103Brühl, Martin; Hanke, Martin; Pidcock, Michael 19 2001 Justification of point electrode models in electrical impedance tomography. Zbl 1219.65126Hanke, Martin; Harrach, Bastian; Hyvönen, Nuutti 17 2011 Fast preconditioned conjugate gradient algorithms for Wiener-Hopf integral equations. Zbl 0820.65092Gohberg, I.; Hanke, M.; Koltracht, I. 16 1994 Two-level preconditioners for regularized inverse problems. I: Theory. Zbl 0941.65056Hanke, Martin; Vogel, Curtis R. 16 1999 Preconditionings and splittings for rectangular systems. Zbl 0704.65018Hanke, Martin; Neumann, Michael 16 1990 Fast nonstationary preconditioned iterative methods for ill-posed problems, with application to image deblurring. Zbl 1285.65030Donatelli, Marco; Hanke, Martin 16 2013 Identification of small inhomogeneities asymptotic factorization. Zbl 1119.35111Ammari, Habib; Griesmaier, Roland; Hanke, Martin 15 2007 A Chebyshev-like semiiteration for inconsistent linear systems. Zbl 0809.65039Hanke, Martin; Hochbruck, Marlis 14 1993 The regularizing Levenberg-Marquardt scheme is of optimal order. Zbl 1204.65059Hanke, Martin 14 2010 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 On rational approximation methods for inverse source problems. Zbl 1215.35166Hanke, Martin; Rundell, William 11 2011 Inverse Toeplitz preconditioners for ill-posed problems. Zbl 0935.65037Hanke, Martin; Nagy, James 10 1998 Inverse source problems for the Helmholtz equation and the windowed Fourier transform. Zbl 1251.35187Griesmaier, Roland; Hanke, Martin; Raasch, Thorsten 9 2012 Regularization methods for constrained mechanical multibody systems. Zbl 0888.70014Eich, E.; Hanke, M. 8 1995 The factorization method for electrical impedance tomography in the half-space. Zbl 1151.65085Hanke, Martin; Schappel, Birgit 8 2008 Highly accurate finite element method for one-dimensional elliptic interface problems. Zbl 1181.65109Loubenets, A.; Ali, T.; Hanke, M. 8 2009 On the Landweber iteration for nonlinear ill-posed problems. Zbl 0879.65037Binder, A.; Hanke, M.; Scherzer, O. 7 1996 A sampling method for detecting buried objects using electromagnetic scattering. Zbl 1112.78013Gebauer, Bastian; Hanke, Martin; Kirsch, Andreas; Muniz, Wagner; Schneider, Christoph 7 2005 Sampling methods. Zbl 1259.35222Hanke, Martin; Kirsch, Andreas 7 2011 Inverse source problems for the Helmholtz equation and the windowed Fourier transform. II. Zbl 1282.35412Griesmaier, Roland; Hanke, Martin; Raasch, Thorsten 7 2013 Convex source support and its application to electric impedance tomography. Zbl 1179.35345Hanke, Martin; Hyvönen, Nuutti; Reusswig, Stefanie 6 2008 Convex backscattering support in electric impedance tomography. Zbl 1215.78011Hanke, Martin; Hyvönen, Nuutti; Reusswig, Stefanie 6 2011 Sampling methods. 2nd edition. Zbl 1331.35385Hanke-Bourgeois, Martin; Kirsch, Andreas 5 2015 The minimal error conjugate gradient method is a regularization method. Zbl 0851.65033Hanke, Martin 5 1995 Toeplitz approximate inverse preconditioner for banded Toeplitz matrices. Zbl 0810.65029Hanke, Martin; Nagy, James G. 5 1994 Regularization with differential operators: An iterative approach. Zbl 0769.65027Hanke, Martin 5 1992 On real-time algorithms for the location search of discontinuous conductivities with one measurement. Zbl 1153.35403Hanke, Martin 5 2008 Foundations of numerical mathematics and scientific computing. 3rd revised ed. (Grundlagen der numerischen Mathematik und des wissenschaftlichen Rechnens.) Zbl 1155.65001Hanke-Bourgeois, Martin 5 2009 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 A note on conjugate-gradient type methods for indefinite and/or inconsistent linear systems. Zbl 0847.65018Fischer, Bernd; Hanke, Martin; Hochbruck, Marlis 4 1996 Asymptotic expansions for regularization methods of linear fully implicit differential-algebraic equations. Zbl 0805.34002Hanke, M. 4 1994 On the use of small relaxation parameters in Kaczmarz’s method. Zbl 0716.65040Hanke, M.; Niethammer, W. 4 1990 On the condition number of the antireflective transform. Zbl 1181.94041Donatelli, Marco; Hanke, Martin 4 2010 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 Computation of local volatilities from regularized Dupire equations. Zbl 1100.91044Hanke, Martin; Rösler, Elisabeth 3 2005 The geometry of the set of scaled projections. Zbl 0782.15002Hanke, Martin 3 1993 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 note on Tikhonov regularization of large linear problems. Zbl 1043.65064Hanke, Martin 3 2003 Why linear sampling really seems to work. Zbl 1180.35560Hanke, Martin 3 2008 Locating several small inclusions in impedance tomography from backscatter data. Zbl 1233.35203Hanke, Martin 3 2011 One shot inverse scattering via rational approximation. Zbl 1248.35233Hanke, Martin 3 2012 Iterative regularization techniques in image reconstruction. Zbl 0972.65123Hanke, Martin 2 2000 A general framework for regularized evaluation of unstable operators. Zbl 0887.47013Groetsch, Charles W.; Hanke, Martin 2 1996 An \(\epsilon\)-free a posteriori stopping rule for certain iterative regularization methods. Zbl 0783.65051Hanke, Martin 2 1993 Foundations of numerical mathematics and scientific computing. (Grundlagen der numerischen Mathematik und des wissenschaftlichen Rechnens.) Zbl 1010.65001Hanke-Bourgeois, Martin 2 2002 Kernel polynomials for the solution of indefinite and ill-posed problems. Zbl 0996.65057Frankenberger, Harald; Hanke, Martin 2 2000 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 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 A taste of inverse problems. Basic theory and examples. Zbl 1381.65042Hanke, Martin 2 2017 Well-posedness of the iterative Boltzmann inversion. Zbl 1390.82022Hanke, Martin 2 2018 A note on the nonlinear Landweber iteration. Zbl 1307.65078Hanke, Martin 1 2014 Strong changes of state in collapsing bubbles. Zbl 0925.76858Hanke, M.; Ballmann, J. 1 1998 Regularization by projection for unbounded operators arising in inverse problems. Zbl 0823.65053Groetsch, C. W.; Hanke, Martin 1 1995 Asymptotics of orthogonal polynomials and the numerical solution of ill-posed problems. Zbl 0851.65035Hanke, Martin 1 1996 A second look at Nemirovskii’s analysis of the conjugate gradient method. Zbl 0810.65047Hanke, M. 1 1994 Superlinear convergence rates for the Lanczos method applied to elliptic operators. Zbl 0887.65055Hanke, Martin 1 1997 Iterative Lösung gewichteter linearer Ausgleichsprobleme. (Iterative solution of weighted linear adjustment problems). Zbl 0694.65014Hanke, Martin 1 1989 Foundations of numerical mathematics and scientific computing. 2nd revised and expanded ed. (Grundlagen der numerischen Mathematik und des wissenschaftlichen Rechnens.) Zbl 1109.65001Hanke-Bourgeois, Martin 1 2006 Convex source support in three dimensions. Zbl 1238.65108Hanke, Martin; Harhanen, Lauri; Hyvönen, Nuutti; Schweickert, Eva 1 2012 Unique solvability of a system of ordinary differential equations modeling a warm cloud parcel. Zbl 1437.37113Hanke, Martin; Porz, Nikolas 1 2020 Fréchet differentiability of molecular distribution functions. I: \(L^\infty \) analysis. Zbl 1383.82010Hanke, Martin 1 2018 Unique solvability of a system of ordinary differential equations modeling a warm cloud parcel. Zbl 1437.37113Hanke, Martin; Porz, Nikolas 1 2020 Well-posedness of the iterative Boltzmann inversion. Zbl 1390.82022Hanke, Martin 2 2018 Fréchet differentiability of molecular distribution functions. I: \(L^\infty \) analysis. Zbl 1383.82010Hanke, Martin 1 2018 A taste of inverse problems. Basic theory and examples. Zbl 1381.65042Hanke, 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 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 A note on the nonlinear Landweber iteration. Zbl 1307.65078Hanke, Martin 1 2014 Fast nonstationary preconditioned iterative methods for ill-posed problems, with application to image deblurring. Zbl 1285.65030Donatelli, Marco; Hanke, Martin 16 2013 Inverse source problems for the Helmholtz equation and the windowed Fourier transform. II. Zbl 1282.35412Griesmaier, Roland; Hanke, Martin; Raasch, Thorsten 7 2013 Inverse source problems for the Helmholtz equation and the windowed Fourier transform. Zbl 1251.35187Griesmaier, Roland; Hanke, Martin; Raasch, Thorsten 9 2012 One shot inverse scattering via rational approximation. Zbl 1248.35233Hanke, Martin 3 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 17 2011 On rational approximation methods for inverse source problems. Zbl 1215.35166Hanke, Martin; Rundell, William 11 2011 Sampling methods. Zbl 1259.35222Hanke, Martin; Kirsch, Andreas 7 2011 Convex backscattering support in electric impedance tomography. Zbl 1215.78011Hanke, Martin; Hyvönen, Nuutti; Reusswig, Stefanie 6 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 14 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 5 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 Convex source support and its application to electric impedance tomography. Zbl 1179.35345Hanke, Martin; Hyvönen, Nuutti; Reusswig, Stefanie 6 2008 On real-time algorithms for the location search of discontinuous conductivities with one measurement. Zbl 1153.35403Hanke, Martin 5 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 15 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. 42 2003 Recent progress in electrical impedance tomography. Zbl 1048.92022Hanke, Martin; Brühl, Martin 25 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 61 2001 Crack detection using electrostatic measurements. Zbl 0985.35103Brühl, Martin; Hanke, Martin; Pidcock, Michael 19 2001 Numerical implementation of two noniterative methods for locating inclusions by impedance tomography. Zbl 0955.35076Brühl, Martin; Hanke, Martin 50 2000 Quasi-Newton approach to nonnegative image restorations. Zbl 0960.65071Hanke, Martin; Nagy, James G.; Vogel, Curtis 24 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 27 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. 37 1998 Inverse Toeplitz preconditioners for ill-posed problems. Zbl 0935.65037Hanke, Martin; Nagy, James 10 1998 Strong changes of state in collapsing bubbles. Zbl 0925.76858Hanke, M.; Ballmann, J. 1 1998 A regularizing Levenberg-Marquardt scheme, with applications to inverse groundwater filtration problems. Zbl 0873.65057Hanke, Martin 106 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 1,083 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. 31 1996 A general heuristic for choosing the regularization parameter in ill-posed problems. Zbl 0859.65051Hanke, Martin; Raus, Toomas 27 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 4 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 173 1995 Conjugate gradient type methods for ill-posed problems. Zbl 0830.65043Hanke, Martin 105 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 138 1993 Preconditioned iterative regularization for ill-posed problems. Zbl 0794.65039Hanke, Martin; Nagy, James; Plemmons, Robert 42 1993 A Chebyshev-like semiiteration for inconsistent linear systems. Zbl 0809.65039Hanke, Martin; Hochbruck, Marlis 14 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 5 1992 Accelerated Landweber iterations for the solution of ill-posed equations. Zbl 0745.65038Hanke, Martin 40 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 24 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 2,135 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