Edit Profile (opens in new tab) Hämarik, Uno Co-Author Distance Author ID: hamarik.uno Published as: Hämarik, Uno; Hämarik, U.; Khyamarik, U. A.; Khyamarik, U. more...less Homepage: https://haridus.ut.ee/en/node/102821 External Links: MGP Documents Indexed: 50 Publications since 1983, including 1 Additional arXiv Preprint 2 Contributions as Editor Co-Authors: 20 Co-Authors with 41 Joint Publications 352 Co-Co-Authors all top 5 Co-Authors 11 single-authored 21 Raus, Toomas 9 Palm, Reimo 6 Kangro, Urve 5 Tautenhahn, Ulrich 4 Pedas, Arvet 4 Tamme, Enn 3 Karma, Otto 3 Vainikko, Gennadi 2 Ganina, Alina 2 Kaltenbacher, Barbara 2 Miidla, Peep 2 Resmerita, Elena 1 Avi, E. 1 Hofmann, Bernd 1 Kindermann, Stefan 1 Nashed, Zuhair 1 Plato, Robert 1 Raik, Kemal 1 Saranen, Jukka 1 Shao, Yuanyuan all top 5 Serials 6 Numerical Functional Analysis and Optimization 6 Mathematical Modelling and Analysis 5 Journal of Inverse and Ill-Posed Problems 3 Inverse Problems 2 Proceedings of the Estonian Academy of Sciences. Physics, Mathematics 2 Computational Methods in Applied Mathematics 1 Eesti Teaduste Akadeemia Toimetised. Füüsika. Matemaatika 1 Izvestiya Vysshikh Uchebnykh Zavedeniĭ, Matematika 1 Calcolo 1 Journal of Computational and Applied Mathematics 1 Soviet Mathematics 1 Izvestiya Akademii Nauk Èstonskoĭ SSR. Fizika. Matematika 1 Advances in Computational Mathematics 1 WSEAS Transactions on Mathematics 1 Inverse Problems in Science and Engineering 1 Trudy Vychislitel’nogo Tsentra, Tartu all top 5 Fields 46 Numerical analysis (65-XX) 44 Operator theory (47-XX) 6 Integral equations (45-XX) 5 History and biography (01-XX) 2 General and overarching topics; collections (00-XX) 2 Operations research, mathematical programming (90-XX) 1 Partial differential equations (35-XX) 1 Calculus of variations and optimal control; optimization (49-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 37 Publications have been cited 232 times in 124 Documents Cited by ▼ Year ▼ The use of monotonicity for choosing the regularization parameter in ill-posed problems. Zbl 0948.65057 Tautenhahn, U.; Hämarik, U. 29 1999 A family of rules for parameter choice in Tikhonov regularization of ill-posed problems with inexact noise level. Zbl 1247.65071 Hämarik, Uno; Palm, Reimo; Raus, Toomas 18 2012 On minimization strategies for choice of the regularization parameter in ill-posed problems. Zbl 1189.65123 Hämarik, U.; Palm, R.; Raus, T. 15 2009 Use of extrapolation in regularization methods. Zbl 1127.65029 Hämarik, U.; Palm, R.; Raus, T. 14 2007 Conditional stability estimates for ill-posed PDE problems by using interpolation. Zbl 1280.35168 Tautenhahn, U.; Hämarik, U.; Hofmann, B.; Shao, Y. 13 2013 Comparison of parameter choices in regularization algorithms in case of different information about noise level. Zbl 1216.65063 Hämarik, Uno; Palm, Reimo; Raus, Toomas 12 2011 On the quasioptimal regularization parameter choices for solving ill-posed problems. Zbl 1136.65053 Raus, T.; Hämarik, U. 11 2007 About the balancing principle for choice of the regularization parameter. Zbl 1188.65078 Hämarik, U.; Raus, T. 10 2009 On the choice of the regularization parameter in ill-posed problems with approximately given noise level of data. Zbl 1117.47006 Hämarik, U.; Raus, T. 9 2006 On the parameter choice in the regularized Ritz-Galerkin method. Zbl 0819.65091 Hämarik, Uno 9 1993 On pseudo-optimal parameter choices and stopping rules for regularization methods in Banach spaces. Zbl 0865.65039 Plato, R.; Hämarik, U. 8 1996 On the solution of ill-posed problems by projection methods with a posteriori choice of the discretization level. Zbl 1068.65066 Hämarik, U.; Avi, E.; Ganina, A. 8 2002 On rules for stopping the conjugate gradient type methods in ill-posed problems. Zbl 1121.65059 Hämarik, U.; Palm, R. 7 2007 New rule for choice of the regularization parameter in (iterated) Tikhonov method. Zbl 1180.65062 Raus, T.; Hämarik, U. 7 2009 On numerical realization of quasioptimal parameter choices in (iterated) Tikhonov and Lavrentiev regularization. Zbl 1168.65348 Raus, T.; Hämarik, U. 6 2009 Projection methods and self-regularization in ill-posed problems. Zbl 0613.65056 Vajnikko, G. M.; Khyamarik, U. A. 6 1985 Projection methods and self-regularization in ill-posed problems. Zbl 0646.65048 Vajnikko, G. M.; Khyamarik, U. A. 5 1985 Regularization by discretization in Banach spaces. Zbl 1342.65136 Hämarik, Uno; Kaltenbacher, Barbara; Kangro, Urve; Resmerita, Elena 5 2016 Heuristic parameter choice in Tikhonov method from minimizers of the quasi-optimality function. Zbl 1447.90077 Raus, Toomas; Hämarik, Uno 5 2018 Extrapolation of Tikhonov regularization method. Zbl 1193.65081 Hämarik, U.; Palm, R.; Raus, T. 4 2010 On the discretization error in regularized projection methods with parameter choice by discrepancy principle. Zbl 0785.65062 Hämarik, U. 4 1992 Quasioptimal error estimate for the regularized Ritz-Galerkin method with the a-posteriori choice of the parameter. Zbl 0808.65060 Hämarik, Uno 3 1992 Semi-heuristic parameter choice rules for Tikhonov regularisation with operator perturbations. Zbl 1490.65110 Hämarik, Uno; Kangro, Urve; Kindermann, Stefan; Raik, Kemal 3 2019 A family of rules for the choice of the regularization parameter in the Lavrentiev method in the case of rough estimate of the noise level of the data. Zbl 1280.47013 Hämarik, Uno; Palm, Reimo; Raus, Toomas 3 2012 Projection methods for the regularization of linear ill-posed problems. Zbl 0566.65042 Khyamarik, U. A. 2 1983 On the a posteriori parameter choice in regularization methods. Zbl 0969.65043 Hämarik, Uno; Raus, Toomas 2 1999 On the quasi-optimal rules for the choice of the regularization parameter in case of a noisy operator. Zbl 1245.65057 Raus, Toomas; Hämarik, Uno 2 2012 Monotonicity of error and choice of the stopping index in iterative regularization methods. Zbl 1173.65323 Hämarik, Uno 2 1999 Monotonicity of error of regularized solution and its use for parameter choice. Zbl 1304.65152 Hämarik, Uno; Kangro, Urve; Palm, Reimo; Raus, Toomas; Tautenhahn, Ulrich 2 2014 On the monotone error rule for choosing the regularization parameter in ill-posed problems. Zbl 1110.65042 Hämarik, U.; Tautenhahn, U. 1 2003 Choice of the regularization parameter in ill-posed problems with rough estimate of the noise level of data. Zbl 1205.65193 Hämarik, Uno; Raus, Toomas 1 2005 On the choice of the regularization parameter in the case of the approximately given noise level of data. Zbl 1056.65053 Hämarik, Uno; Raus, Toomas 1 2004 On self-regularization in case of solution of ill-posed problems by projection methods. Zbl 0713.65039 Khyamarik, U. 1 1988 Erratum to: “Regularization by discretization in Banach spaces”. Zbl 1382.65160 Hämarik, Uno; Kaltenbacher, Barbara; Kangro, Urve; Resmerita, Elena 1 2016 On the choice of the stopping index in iteration methods for solving problems with noisy data. Zbl 1028.65055 Hämarik, Uno; Raus, Toomas 1 2002 On the analog of the monotone error rule for parameter choice in the (iterated) Lavrentiev regularization. Zbl 1154.65333 Hämarik, U.; Raus, T.; Palm, R. 1 2008 On the self-regularization of ill-posed problems by the least error projection method. Zbl 1483.47020 Ganina, Alina; Hämarik, Uno; Kangro, Urve 1 2014 Semi-heuristic parameter choice rules for Tikhonov regularisation with operator perturbations. Zbl 1490.65110 Hämarik, Uno; Kangro, Urve; Kindermann, Stefan; Raik, Kemal 3 2019 Heuristic parameter choice in Tikhonov method from minimizers of the quasi-optimality function. Zbl 1447.90077 Raus, Toomas; Hämarik, Uno 5 2018 Regularization by discretization in Banach spaces. Zbl 1342.65136 Hämarik, Uno; Kaltenbacher, Barbara; Kangro, Urve; Resmerita, Elena 5 2016 Erratum to: “Regularization by discretization in Banach spaces”. Zbl 1382.65160 Hämarik, Uno; Kaltenbacher, Barbara; Kangro, Urve; Resmerita, Elena 1 2016 Monotonicity of error of regularized solution and its use for parameter choice. Zbl 1304.65152 Hämarik, Uno; Kangro, Urve; Palm, Reimo; Raus, Toomas; Tautenhahn, Ulrich 2 2014 On the self-regularization of ill-posed problems by the least error projection method. Zbl 1483.47020 Ganina, Alina; Hämarik, Uno; Kangro, Urve 1 2014 Conditional stability estimates for ill-posed PDE problems by using interpolation. Zbl 1280.35168 Tautenhahn, U.; Hämarik, U.; Hofmann, B.; Shao, Y. 13 2013 A family of rules for parameter choice in Tikhonov regularization of ill-posed problems with inexact noise level. Zbl 1247.65071 Hämarik, Uno; Palm, Reimo; Raus, Toomas 18 2012 A family of rules for the choice of the regularization parameter in the Lavrentiev method in the case of rough estimate of the noise level of the data. Zbl 1280.47013 Hämarik, Uno; Palm, Reimo; Raus, Toomas 3 2012 On the quasi-optimal rules for the choice of the regularization parameter in case of a noisy operator. Zbl 1245.65057 Raus, Toomas; Hämarik, Uno 2 2012 Comparison of parameter choices in regularization algorithms in case of different information about noise level. Zbl 1216.65063 Hämarik, Uno; Palm, Reimo; Raus, Toomas 12 2011 Extrapolation of Tikhonov regularization method. Zbl 1193.65081 Hämarik, U.; Palm, R.; Raus, T. 4 2010 On minimization strategies for choice of the regularization parameter in ill-posed problems. Zbl 1189.65123 Hämarik, U.; Palm, R.; Raus, T. 15 2009 About the balancing principle for choice of the regularization parameter. Zbl 1188.65078 Hämarik, U.; Raus, T. 10 2009 New rule for choice of the regularization parameter in (iterated) Tikhonov method. Zbl 1180.65062 Raus, T.; Hämarik, U. 7 2009 On numerical realization of quasioptimal parameter choices in (iterated) Tikhonov and Lavrentiev regularization. Zbl 1168.65348 Raus, T.; Hämarik, U. 6 2009 On the analog of the monotone error rule for parameter choice in the (iterated) Lavrentiev regularization. Zbl 1154.65333 Hämarik, U.; Raus, T.; Palm, R. 1 2008 Use of extrapolation in regularization methods. Zbl 1127.65029 Hämarik, U.; Palm, R.; Raus, T. 14 2007 On the quasioptimal regularization parameter choices for solving ill-posed problems. Zbl 1136.65053 Raus, T.; Hämarik, U. 11 2007 On rules for stopping the conjugate gradient type methods in ill-posed problems. Zbl 1121.65059 Hämarik, U.; Palm, R. 7 2007 On the choice of the regularization parameter in ill-posed problems with approximately given noise level of data. Zbl 1117.47006 Hämarik, U.; Raus, T. 9 2006 Choice of the regularization parameter in ill-posed problems with rough estimate of the noise level of data. Zbl 1205.65193 Hämarik, Uno; Raus, Toomas 1 2005 On the choice of the regularization parameter in the case of the approximately given noise level of data. Zbl 1056.65053 Hämarik, Uno; Raus, Toomas 1 2004 On the monotone error rule for choosing the regularization parameter in ill-posed problems. Zbl 1110.65042 Hämarik, U.; Tautenhahn, U. 1 2003 On the solution of ill-posed problems by projection methods with a posteriori choice of the discretization level. Zbl 1068.65066 Hämarik, U.; Avi, E.; Ganina, A. 8 2002 On the choice of the stopping index in iteration methods for solving problems with noisy data. Zbl 1028.65055 Hämarik, Uno; Raus, Toomas 1 2002 The use of monotonicity for choosing the regularization parameter in ill-posed problems. Zbl 0948.65057 Tautenhahn, U.; Hämarik, U. 29 1999 On the a posteriori parameter choice in regularization methods. Zbl 0969.65043 Hämarik, Uno; Raus, Toomas 2 1999 Monotonicity of error and choice of the stopping index in iterative regularization methods. Zbl 1173.65323 Hämarik, Uno 2 1999 On pseudo-optimal parameter choices and stopping rules for regularization methods in Banach spaces. Zbl 0865.65039 Plato, R.; Hämarik, U. 8 1996 On the parameter choice in the regularized Ritz-Galerkin method. Zbl 0819.65091 Hämarik, Uno 9 1993 On the discretization error in regularized projection methods with parameter choice by discrepancy principle. Zbl 0785.65062 Hämarik, U. 4 1992 Quasioptimal error estimate for the regularized Ritz-Galerkin method with the a-posteriori choice of the parameter. Zbl 0808.65060 Hämarik, Uno 3 1992 On self-regularization in case of solution of ill-posed problems by projection methods. Zbl 0713.65039 Khyamarik, U. 1 1988 Projection methods and self-regularization in ill-posed problems. Zbl 0613.65056 Vajnikko, G. M.; Khyamarik, U. A. 6 1985 Projection methods and self-regularization in ill-posed problems. Zbl 0646.65048 Vajnikko, G. M.; Khyamarik, U. A. 5 1985 Projection methods for the regularization of linear ill-posed problems. Zbl 0566.65042 Khyamarik, U. A. 2 1983 all cited Publications top 5 cited Publications all top 5 Cited by 193 Authors 12 Hämarik, Uno 9 Raus, Toomas 7 Kindermann, Stefan 6 Li, Ming 5 Hon, Yiu-Chung 5 Palm, Reimo 5 Raik, Kemal 4 Cheng, Xiaoliang 4 Gong, Rongfang 4 Han, Weimin 4 Kaltenbacher, Barbara 4 Kangro, Urve 4 Mathé, Peter 4 Zheng, Guanghui 3 Jin, Bangti 3 Luo, Xingjun 3 Yan, Liang 3 Yang, Hongqi 3 Zeng, Chunmei 3 Zhang, Hongwu 2 Abdi, Sarkout 2 Azikri de Deus, Hilbeth P. 2 Azizi, Aram 2 Benvenuto, Federico 2 Chen, Zhongying 2 Ding, Shengpei 2 Dou, Fangfang 2 Fu, Chuli 2 Hofmann, Bernd 2 Jin, Qinian 2 Jozi, Meisam 2 Karimi, Saeed 2 Kereta, Željko 2 Li, Fanchun 2 Lu, Shuai 2 Myleiko, Ganna L. 2 Pereverzev, Sergei V. 2 Plato, Robert 2 Regińska, Teresa 2 Reichel, Lothar 2 Rodriguez, Giuseppe 2 Rostamian, Malihe 2 Saeidian, Jamshid 2 Shahrezaee, Alimardan 2 Wei, Ting 2 Yang, Fenglian 2 Yang, Suhua 2 Zhang, Quanguo 2 Zhang, Xiaoju 1 Abdel-Aziz, Mohammedi R. 1 Amato, Umberto 1 Antoni, Jérôme 1 Arridge, Simon R. 1 Ávila S., Claudio R. jun. 1 Bakushinskĭ, Anatoliĭ Borisovich B. 1 Barbosa Pinto Silva, Thales A. 1 Bechouat, Tahar 1 Beck, André T. 1 Bogdanova, Ekaterina Yur’evna 1 Borges, Leonardo Silveira 1 Boţ, Radu Ioan 1 Bourguignon, Sébastien 1 Bredies, Kristian 1 Buccini, Alessandro 1 Bulatov, Mikhail Valer’yanovich 1 Campi, Cristina 1 Chen, Wen 1 Cheng, Jin 1 Decamp, Linda 1 Díaz de Alba, Patricia 1 Du, Nailin 1 Du, Shukai 1 El-Alem, Mahmoud M. 1 Faouzia, Rebbani 1 Fermo, Luisa 1 Fika, Paraskevi 1 Ganina, Alina 1 Gao, Xiangxi 1 George, Santhosh 1 Gerth, Daniel 1 Gleichmann, Yannik G. 1 Gockenbach, Mark S. 1 Gong, Maoguo 1 Gorgin, Elaheh 1 Grote, Marcus J. 1 Guo, Shimin 1 Gutting, Martin 1 Hajipour, Mojtaba 1 Hanke-Bourgeois, Martin 1 Helmstetter, Anthony W. 1 Hohage, Thorsten 1 Hu, Wenyu 1 Huber, Richard 1 Hubmer, Simon 1 Idier, Jérôme 1 Ito, Kazufumi 1 Itskov, Mikhail 1 Ivanov, Dmitriĭ Vladimirovich 1 Janno, Jaan 1 Jiang, Tongsong ...and 93 more Authors all top 5 Cited in 52 Serials 8 Journal of Computational and Applied Mathematics 8 Journal of Inverse and Ill-Posed Problems 8 Inverse Problems in Science and Engineering 6 Inverse Problems 6 Applied Numerical Mathematics 5 Numerical Functional Analysis and Optimization 5 Engineering Analysis with Boundary Elements 5 Mathematical Modelling and Analysis 4 Mathematics of Computation 4 BIT 4 SIAM Journal on Numerical Analysis 3 Journal of Mathematical Analysis and Applications 3 Applied Mathematics and Computation 3 Journal of Integral Equations and Applications 2 Applicable Analysis 2 Journal of Complexity 2 Applied Mathematics Letters 2 Numerical Algorithms 2 Computational and Applied Mathematics 2 ETNA. Electronic Transactions on Numerical Analysis 2 Computational Methods in Applied Mathematics 2 International Journal of Computational Methods 2 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki 1 Computers & Mathematics with Applications 1 Journal of Computational Physics 1 Journal of Engineering Mathematics 1 Calcolo 1 Mathematics and Computers in Simulation 1 Numerische Mathematik 1 Zeitschrift für Analysis und ihre Anwendungen 1 Bulletin of the Iranian Mathematical Society 1 Neural Networks 1 Computational Mathematics and Mathematical Physics 1 Applied Mathematical Modelling 1 SIAM Journal on Scientific Computing 1 Applicationes Mathematicae 1 Mathematical Methods of Statistics 1 Advances in Computational Mathematics 1 Bernoulli 1 Abstract and Applied Analysis 1 International Journal of Wavelets, Multiresolution and Information Processing 1 Acta Numerica 1 Advances in Difference Equations 1 Inverse Problems and Imaging 1 SIAM Journal on Imaging Sciences 1 Advances in Numerical Analysis 1 International Journal for Numerical Methods in Biomedical Engineering 1 Afrika Matematika 1 Frontiers of Computer Science 1 Mathematical Sciences 1 AIMS Mathematics 1 Mathematics in Engineering all top 5 Cited in 24 Fields 108 Numerical analysis (65-XX) 44 Operator theory (47-XX) 25 Partial differential equations (35-XX) 17 Integral equations (45-XX) 7 Biology and other natural sciences (92-XX) 5 Statistics (62-XX) 4 Approximations and expansions (41-XX) 4 Integral transforms, operational calculus (44-XX) 4 Computer science (68-XX) 4 Information and communication theory, circuits (94-XX) 3 Optics, electromagnetic theory (78-XX) 3 Operations research, mathematical programming (90-XX) 2 Real functions (26-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Fluid mechanics (76-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Combinatorics (05-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Functions of a complex variable (30-XX) 1 Functional analysis (46-XX) 1 Mechanics of deformable solids (74-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Geophysics (86-XX) Citations by Year