Edit Profile (opens in new tab) Reichel, Lothar Co-Author Distance Author ID: reichel.lothar Published as: Reichel, Lothar; Reichel, L. Homepage: http://www.math.kent.edu/~reichel/ External Links: MGP · ORCID · dblp · GND Documents Indexed: 337 Publications since 1980, including 6 Books and 7 Additional arXiv Preprints 21 Contributions as Editor · 1 Further Contribution Biographic References: 1 Publication Co-Authors: 138 Co-Authors with 324 Joint Publications 2,956 Co-Co-Authors all top 5 Co-Authors 31 single-authored 68 Calvetti, Daniela 29 Noschese, Silvia 28 Sgallari, Fiorella 23 Buccini, Alessandro 22 Jbilou, Khalide 19 Morigi, Serena 18 Rodriguez, Giuseppe 16 Sadok, Hassane 15 Spalević, Miodrag M. 13 Baglama, James 12 Jagels, Carl F. 10 Ammar, Gregory S. 10 De la Cruz Cabrera, Omar 10 Gragg, William B. 9 Donatelli, Marco 9 Lewis, Bryan W. 8 Bentbib, Abdeslem Hafid 8 Đukić, Dušan Lj. 8 Hochstenbach, Michiel E. 8 Huang, Guang-Xin 7 Dykes, Laura 7 Pranic, Miroslav S. 7 Ramlau, Ronny 7 Ye, Qiang 6 Fenu, Caterina 6 Golub, Gene Howard 5 Bai, Zhongzhi 5 Martin, David R. 5 Ugwu, Ugochukwu O. 5 Yin, Feng 5 Yu, Xuebo 4 Alqahtani, Hessah 4 Bouhamidi, Abderrahman 4 El Ghomari, M. 4 Gazzola, Silvia 4 Hayami, Ken 4 Hearn, Tristan A. 4 Kim, Sunmi 4 Mach, Thomas 4 Onunwor, Enyinda 4 Park, Yonggi 4 Shuibi, A. 4 Shyshkov, Andriy 3 Al Mugahwi, Mohammed 3 Alahmadi, J. 3 Alkilayh, Maged 3 Beik, Fatemeh Panjeh Ali 3 Eshghi, Nasim 3 Gautschi, Walter 3 Marcellán Español, Francisco 3 Matar, Mona 3 Milovanović, Gradimir V. 3 Morikuni, Keiichi 3 Mutavdžić Djukić, Rada M. 3 Najafi-Kalyani, Mehdi 3 Neuman, Arthur 3 Onisk, Lucas 3 Pasha, Mirjeta 3 Plemmons, Robert James 3 Sorensen, Danny C. 3 Tang, Tunan 3 Tomanović, Jelena D. 3 Zhang, Qin 2 Alqahtani, Abdulaziz 2 Bai, Xianglan 2 Bai, Zhaojun 2 Beckermann, Bernhard 2 Bellalij, Mohammed 2 El Hachimi, Anas 2 El-Halouy, Smahane 2 Fischer, Bernd 2 Hu, Dan 2 Jin, Jiafeng 2 Klann, Esther 2 Ku, Jaeun 2 Kuian, Mykhailo 2 Lanza, Alessandro 2 Levenberg, Norman jun. 2 López Lagomasino, Guillermo Tomás 2 Mitrouli, Marilena 2 Nath Datta, Biswa 2 Pasquini, Lionello 2 Ratnani, Ahmed 2 Ruttan, Arden 2 Shiyanovskii, Sergij V. 2 Spaletta, Giulia 2 Trefethen, Lloyd Nicholas 2 Van Barel, Marc 2 Vandebril, Raf 2 Yin, Junfeng 2 Zama, Fabiana 2 Zhang, Weihong 2 Zheng, Ning 1 Abad, J. O. 1 Alotaibi, Majed 1 Barnard, Roger W. 1 Bianchi, Davide 1 Bini, Dario Andrea 1 Brezinski, Claude 1 Concas, Anna ...and 43 more Co-Authors all top 5 Serials 71 Journal of Computational and Applied Mathematics 46 Numerical Algorithms 28 BIT 26 Linear Algebra and its Applications 25 Applied Numerical Mathematics 23 Numerical Linear Algebra with Applications 19 ETNA. Electronic Transactions on Numerical Analysis 13 Numerische Mathematik 8 Mathematics of Computation 8 SIAM Journal on Matrix Analysis and Applications 6 SIAM Journal on Scientific Computing 5 Journal of Scientific Computing 5 Advances in Computational Mathematics 4 Inverse Problems 4 ACM Transactions on Mathematical Software 3 Applied Mathematics and Computation 3 Calcolo 3 SIAM Journal on Numerical Analysis 2 Journal of Engineering Mathematics 2 Journal of Approximation Theory 2 SIAM Journal on Scientific and Statistical Computing 2 Journal of Integral Equations and Applications 2 Numerical Mathematics: Theory, Methods and Applications 1 Computer Methods in Applied Mechanics and Engineering 1 IMA Journal of Numerical Analysis 1 Journal of Computational Physics 1 Computing 1 Complex Variables. Theory and Application 1 Constructive Approximation 1 Communications in Statistics. Simulation and Computation 1 International Journal of Computer Mathematics 1 Filomat 1 Journal of Inverse and Ill-Posed Problems 1 ELA. The Electronic Journal of Linear Algebra 1 Vietnam Journal of Mathematics 1 International Journal of Applied Mathematics and Computer Science 1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 1 SIAM Journal on Imaging Sciences 1 Contemporary Mathematicians all top 5 Fields 330 Numerical analysis (65-XX) 47 Linear and multilinear algebra; matrix theory (15-XX) 30 Approximations and expansions (41-XX) 23 Information and communication theory, circuits (94-XX) 21 General and overarching topics; collections (00-XX) 19 Partial differential equations (35-XX) 18 Integral equations (45-XX) 18 Operations research, mathematical programming (90-XX) 17 Functions of a complex variable (30-XX) 13 Combinatorics (05-XX) 10 Operator theory (47-XX) 9 Computer science (68-XX) 7 Special functions (33-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 5 Systems theory; control (93-XX) 3 History and biography (01-XX) 3 Field theory and polynomials (12-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 Real functions (26-XX) 2 Statistics (62-XX) 2 Mechanics of deformable solids (74-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Integral transforms, operational calculus (44-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 292 Publications have been cited 3,740 times in 1,695 Documents Cited by ▼ Year ▼ Application of ADI iterative methods to the restoration of noisy images. Zbl 0849.65101 Calvetti, D.; Reichel, L. 104 1996 Krylov-subspace methods for the Sylvester equation. Zbl 0777.65028 Hu, D. Y.; Reichel, L. 96 1992 Old and new parameter choice rules for discrete ill-posed problems. Zbl 1267.65045 Reichel, Lothar; Rodriguez, Giuseppe 93 2013 Error estimates and evaluation of matrix functions via the Faber transform. Zbl 1204.65041 Beckermann, Bernhard; Reichel, Lothar 83 2009 Tikhonov regularization and the L-curve for large discrete ill-posed problems. Zbl 0977.65030 Calvetti, D.; Morigi, S.; Reichel, L.; Sgallari, F. 79 2000 Eigenvalues and pseudo-eigenvalues of Toeplitz matrices. Zbl 0748.15010 Reichel, Lothar; Trefethen, Lloyd N. 67 1992 Augmented implicitly restarted Lanczos bidiagonalization methods. Zbl 1087.65039 Baglama, James; Reichel, Lothar 65 2005 Tikhonov regularization of large linear problems. Zbl 1038.65048 Calvetti, Daniela; Reichel, Lothar 58 2003 Newton interpolation at Leja points. Zbl 0702.65012 Reichel, Lothar 53 1990 An implicit restarted Lanczos method for large symmetric eigenvalue problems. Zbl 0809.65030 Calvetti, D.; Reichel, L.; Sorensen, Danny C. 51 1994 Estimation of the \(L\)-curve via Lanczos bidiagonalization. Zbl 0945.65044 Calvetti, D.; Golub, G. H.; Reichel, L. 50 1999 A hybrid GMRES algorithm for nonsymmetric linear systems. Zbl 0757.65035 Nachtigal, Noël M.; Reichel, Lothar; Trefethen, Lloyd N. 50 1992 Computation of Gauss-Kronrod quadrature rules. Zbl 0947.65022 Calvetti, D.; Golub, G. H.; Gragg, W. B.; Reichel, L. 49 2000 Tridiagonal Toeplitz matrices: properties and novel applications. Zbl 1289.65082 Noschese, Silvia; Pasquini, Lionello; Reichel, Lothar 49 2013 Fractional Tikhonov regularization for linear discrete ill-posed problems. Zbl 1215.65075 Hochstenbach, Michiel E.; Reichel, Lothar 43 2011 Adaptively preconditioned GMRES algorithms. Zbl 0954.65026 Baglama, J.; Calvetti, D.; Golub, G. H.; Reichel, L. 40 1999 On the regularizing properties of the GMRES method. Zbl 1022.65044 Calvetti, D.; Lewis, B.; Reichel, L. 40 2002 Fast Leja points. Zbl 0912.65004 Baglama, J.; Calvetti, D.; Reichel, L. 39 1998 A divide and conquer method for unitary and orthogonal eigenproblems. Zbl 0708.65039 Gragg, W. B.; Reichel, L. 39 1990 Simple square smoothing regularization operators. Zbl 1171.65033 Reichel, Lothar; Ye, Qiang 37 2009 IRBL: An implicitly restarted Block-Lanczos method for large-scale Hermitian eigenproblems. Zbl 1044.65027 Baglama, J.; Calvetti, D.; Reichel, L. 36 2003 Breakdown-free GMRES for singular systems. Zbl 1086.65030 Reichel, Lothar; Ye, Qiang 34 2005 A generalized Krylov subspace method for \(\ell_p\)-\(\ell_q\) minimization. Zbl 1343.65077 Lanza, A.; Morigi, S.; Reichel, L.; Sgallari, F. 34 2015 Implementations of range restricted iterative methods for linear discrete ill-posed problems. Zbl 1241.65045 Neuman, A.; Reichel, L.; Sadok, H. 33 2012 GMRES-type methods for inconsistent systems. Zbl 0963.65042 Calvetti, D.; Lewis, B.; Reichel, L. 32 2000 Majorization-minimization generalized Krylov subspace methods for \({\ell _p}\)-\({\ell _q}\) optimization applied to image restoration. Zbl 1369.65073 Huang, G.; Lanza, A.; Morigi, S.; Reichel, L.; Sgallari, F. 32 2017 On the choice of subspace for iterative methods for linear discrete ill-posed problems. Zbl 0994.65043 Calvetti, Daniela; Lewis, Bryan; Reichel, Lothar 31 2001 Block Gauss and anti-Gauss quadrature with application to networks. Zbl 1425.65063 Fenu, C.; Martin, D.; Reichel, L.; Rodriguez, G. 31 2013 \(L\)-curve curvature bounds via Lanczos bidiagonalization. Zbl 1029.65041 Calvetti, D.; Hansen, P. C.; Reichel, L. 30 2002 Tikhonov regularization based on generalized Krylov subspace methods. Zbl 1246.65068 Reichel, Lothar; Sgallari, Fiorella; Ye, Qiang 30 2012 Large-scale Tikhonov regularization via reduction by orthogonal projection. Zbl 1241.65044 Lampe, Jörg; Reichel, Lothar; Voss, Heinrich 28 2012 Constructing a unitary Hessenberg matrix from spectral data. Zbl 0736.65027 Ammar, Gregory; Gragg, William; Reichel, Lothar 28 1991 Discrete least squares approximation by trigonometric polynomials. Zbl 0733.65102 Reichel, L.; Ammar, G. S.; Gragg, W. B. 27 1991 GCV for Tikhonov regularization via global Golub-Kahan decomposition. Zbl 1374.65064 Fenu, Caterina; Reichel, Lothar; Rodriguez, Giuseppe 27 2016 Restarted block Lanczos bidiagonalization methods. Zbl 1110.65027 Baglama, James; Reichel, Lothar 26 2006 Arnoldi-Tikhonov regularization methods. Zbl 1166.65016 Lewis, Bryan; Reichel, Lothar 26 2009 Downdating of Szegö polynomials and data-fitting applications. Zbl 0755.65027 Ammar, G. S.; Gragg, W. B.; Reichel, L. 26 1992 GCV for Tikhonov regularization by partial SVD. Zbl 1386.65118 Fenu, Caterina; Reichel, Lothar; Rodriguez, Giuseppe; Sadok, Hassane 26 2017 The extended Krylov subspace method and orthogonal Laurent polynomials. Zbl 1166.65019 Jagels, Carl; Reichel, Lothar 25 2009 On fractional Tikhonov regularization. Zbl 1327.65075 Gerth, Daniel; Klann, Esther; Ramlau, Ronny; Reichel, Lothar 25 2015 An iterative method for Tikhonov regularization with a general linear regularization operator. Zbl 1210.65092 Hochstenbach, Michiel E.; Reichel, Lothar 25 2010 GMRES, L-curves, and discrete ill-posed problems. Zbl 1003.65040 Calvetti, D.; Lewis, B.; Reichel, L. 24 2002 Modulus-based iterative methods for constrained Tikhonov regularization. Zbl 1360.65112 Bai, Zhong-Zhi; Buccini, Alessandro; Hayami, Ken; Reichel, Lothar; Yin, Jun-Feng; Zheng, Ning 24 2017 Recursion relations for the extended Krylov subspace method. Zbl 1211.65039 Jagels, Carl; Reichel, Lothar 23 2011 A Newton basis GMRES implementation. Zbl 0818.65022 Bai, Zhaojun; Hu, Dan; Reichel, Lothar 23 1994 A new Tikhonov regularization method. Zbl 1236.65038 Fuhry, Martin; Reichel, Lothar 22 2012 Orthogonal projection regularization operators. Zbl 1124.65043 Morigi, S.; Reichel, L.; Sgallari, F. 21 2007 A fast method for solving certain integral equations of the first kind with application to conformal mapping. Zbl 0587.30007 Reichel, Lothar 21 1986 An implicitly restarted block Lanczos bidiagonalization method using Leja shifts. Zbl 1269.65038 Baglama, James; Reichel, Lothar 21 2013 Error estimates for large-scale ill-posed problems. Zbl 1166.65332 Reichel, L.; Rodriguez, G.; Seatzu, S. 20 2009 Invertible smoothing preconditioners for linear discrete ill-posed problems. Zbl 1072.65057 Calvetti, D.; Reichel, L.; Shuibi, A. 20 2005 Chebyshev-Vandermonde systems. Zbl 0755.65032 Reichel, Lothar; Opfer, Gerhard 20 1991 Network analysis via partial spectral factorization and Gauss quadrature. Zbl 1362.65052 Fenu, C.; Martin, D.; Reichel, L.; Rodriguez, G. 20 2013 Iterative methods for \(X-AXB=C\). Zbl 0890.65040 Calvetti, D.; Levenberg, N.; Reichel, L. 19 1997 A generalized ADI iterative method. Zbl 0797.65030 Levenberg, N.; Reichel, L. 19 1993 Algorithms for range restricted iterative methods for linear discrete ill-posed problems. Zbl 1236.65040 Neuman, Arthur; Reichel, Lothar; Sadok, Hassane 18 2012 A new zero-finder for Tikhonov regularization. Zbl 1161.65029 Reichel, Lothar; Shyshkov, Andriy 18 2008 Tikhonov regularization with a solution constraint. Zbl 1081.65033 Calvetti, Daniela; Reichel, Lothar 18 2004 The application of Leja points to Richardson iteration and polynomial preconditioning. Zbl 0731.65017 Reichel, Lothar 18 1991 Regularization parameter determination for discrete ill-posed problems. Zbl 1295.65046 Hochstenbach, M. E.; Reichel, L.; Rodriguez, G. 18 2015 Iterated Tikhonov regularization with a general penalty term. Zbl 1424.65045 Buccini, Alessandro; Donatelli, Marco; Reichel, Lothar 18 2017 Square regularization matrices for large linear discrete ill-posed problems. Zbl 1289.65096 Donatelli, Marco; Neuman, Arthur; Reichel, Lothar 18 2012 Iterative Tikhonov regularization of tensor equations based on the Arnoldi process and some of its generalizations. Zbl 1432.65049 Beik, Fatemeh Panjeh Ali; Najafi-Kalyani, Mehdi; Reichel, Lothar 18 2020 An \(\ell^2\)-\(\ell^q\) regularization method for large discrete ill-posed problems. Zbl 1502.65017 Buccini, Alessandro; Reichel, Lothar 18 2019 Augmented GMRES-type methods. Zbl 1199.65096 Baglama, James; Reichel, Lothar 17 2007 Nonnegativity and iterative methods for ill-posed problems. Zbl 1077.65041 Calvetti, D.; Landi, G.; Reichel, L.; Sgallari, F. 17 2004 Szegő-Lobatto quadrature rules. Zbl 1109.65027 Jagels, Carl; Reichel, Lothar 17 2007 Fast inversion of Vandermonde-like matrices involving orthogonal polynomials. Zbl 0809.65013 Calvetti, D.; Reichel, L. 17 1993 Simplified GSVD computations for the solution of linear discrete ill-posed problems. Zbl 1291.65117 Dykes, L.; Reichel, L. 17 2014 Generalized averaged Gauss quadrature rules for the approximation of matrix functionals. Zbl 1352.65089 Reichel, Lothar; Spalević, Miodrag M.; Tang, Tunan 17 2016 Newton interpolation in Fejér and Chebyshev points. Zbl 0673.65004 Fischer, Bernd; Reichel, Lothar 16 1989 A truncated projected SVD method for linear discrete ill-posed problems. Zbl 1114.65039 Morigi, Serena; Reichel, Lothar; Sgallari, Fiorella 16 2006 Decomposition methods for large linear discrete ill-posed problems. Zbl 1106.65035 Baglama, James; Reichel, Lothar 16 2007 Fast \(QR\) decomposition of Vandermonde-like matrices and polynomial least squares approximation. Zbl 0739.65024 Reichel, Lothar 16 1991 An adaptive Chebyshev iterative method for nonsymmetric linear systems based on modified moments. Zbl 0796.65033 Calvetti, D.; Golub, G. H.; Reichel, L. 16 1994 A new \(L\)-curve for ill-posed problems. Zbl 1145.65035 Reichel, Lothar; Sadok, Hassane 16 2008 Symmetric Gauss-Lobatto and modified anti-Gauss rules. Zbl 1056.41017 Calvetti, Daniela; Reichel, Lothar 15 2003 An implementation of a divide and conquer algorithm for the unitary eigenproblem. Zbl 0892.65025 Ammar, G. S.; Reichel, L.; Sorensen, D. C. 15 1992 Arnoldi methods for image deblurring with anti-reflective boundary conditions. Zbl 1338.94006 Donatelli, Marco; Martin, David; Reichel, Lothar 15 2015 Discrete ill-posed least-squares problems with a solution norm constraint. Zbl 1237.65039 Hochstenbach, M. E.; McNinch, N.; Reichel, L. 14 2012 Lanczos-based exponential filtering for discrete ill-posed problems. Zbl 0997.65068 Calvetti, D.; Reichel, L. 14 2002 L-curve and curvature bounds for Tikhonov regularization. Zbl 1049.65029 Calvetti, D.; Reichel, L.; Shuibi, A. 14 2004 Iterative methods for ill-posed problems and semiconvergent sequences. Zbl 1092.65025 Morigi, S.; Reichel, L.; Sgallari, F.; Zama, F. 14 2006 Tikhonov regularization with nonnegativity constraint. Zbl 1069.65047 Calvetti, D.; Lewis, B.; Reichel, L.; Sgallari, F. 14 2004 Square smoothing regularization matrices with accurate boundary conditions. Zbl 1294.65099 Donatelli, M.; Reichel, L. 14 2014 Matrices, moments, and rational quadrature. Zbl 1191.65010 López Lagomasino, G.; Reichel, L.; Wunderlich, L. 14 2008 Bounding matrix functionals via partial global block Lanczos decomposition. Zbl 1325.65060 Bellalij, M.; Reichel, L.; Rodriguez, G.; Sadok, H. 14 2015 A stable Richardson iteration method for complex linear systems. Zbl 0641.65030 Fischer, Bernd; Reichel, Lothar 13 1988 The structured distance to normality of an irreducible real tridiagonal matrix. Zbl 1171.65037 Noschese, S.; Pasquini, L.; Reichel, L. 13 2007 Iterative methods for the computation of a few eigenvalues of a large symmetric matrix. Zbl 0856.65030 Baglama, J.; Calvetti, D.; Reichel, L. 13 1996 On the generation of Krylov subspace bases. Zbl 1253.65049 Philippe, Bernard; Reichel, Lothar 13 2012 A modified truncated singular value decomposition method for discrete ill-posed problems. Zbl 1340.65070 Noschese, Silvia; Reichel, Lothar 13 2014 Golub-Kahan bidiagonalization for ill-conditioned tensor equations with applications. Zbl 1483.65069 Beik, Fatemeh P. A.; Jbilou, Khalide; Najafi-Kalyani, Mehdi; Reichel, Lothar 13 2020 Modulus-based iterative methods for constrained \(\ell_p\)-\(\ell_q\) minimization. Zbl 1451.65072 Buccini, A.; Pasha, M.; Reichel, L. 13 2020 Fast solution methods for Fredholm integral equations of the second kind. Zbl 0706.65143 Reichel, Lothar 12 1990 The structured distance to normality of Toeplitz matrices with application to preconditioning. Zbl 1245.65036 Noschese, Silvia; Reichel, Lothar 12 2011 Truncated generalized averaged Gauss quadrature rules. Zbl 1346.65009 Djukić, Dušan Lj.; Reichel, Lothar; Spalević, Miodrag M. 12 2016 Projected nonstationary iterated Tikhonov regularization. Zbl 1341.65017 Huang, Guangxin; Reichel, Lothar; Yin, Feng 12 2016 Fractional regularization matrices for linear discrete ill-posed problems. Zbl 1360.65113 Hochstenbach, Michiel E.; Noschese, Silvia; Reichel, Lothar 12 2015 An \(\ell^p\)-\(\ell^q\) minimization method with cross-validation for the restoration of impulse noise contaminated images. Zbl 1524.94008 Buccini, Alessandro; Reichel, Lothar 12 2020 Internality of generalized averaged Gauss quadrature rules and truncated variants for modified Chebyshev measures of the third and fourth kinds. Zbl 07644400 Djukić, D. Lj.; Djukić, R. M. Mutavdžić; Reichel, L.; Spalević, M. M. 4 2023 Limited memory restarted \(\ell^p\)-\(\ell^q\) minimization methods using generalized Krylov subspaces. Zbl 1518.65030 Buccini, Alessandro; Reichel, Lothar 3 2023 Perron communicability and sensitivity of multilayer networks. Zbl 1508.65031 El-Halouy, Smahane; Noschese, Silvia; Reichel, Lothar 3 2023 Krylov subspace split Bregman methods. Zbl 07630340 Alotaibi, Majed; Buccini, Alessandro; Reichel, Lothar 1 2023 The global Golub-Kahan method and Gauss quadrature for tensor function approximation. Zbl 07644382 Bentbib, A. H.; El Ghomari, M.; Jbilou, K.; Reichel, L. 1 2023 An Arnoldi-based preconditioner for iterated Tikhonov regularization. Zbl 1507.65081 Buccini, Alessandro; Onisk, Lucas; Reichel, Lothar 1 2023 Solution of ill-posed problems with Chebfun. Zbl 07669771 Alqahtani, A.; Mach, T.; Reichel, L. 1 2023 Range restricted iterative methods for linear discrete ill-posed problems. Zbl 1512.65069 Buccini, Alessandro; Onisk, Lucas; Reichel, Lothar 1 2023 The tensor Golub-Kahan-Tikhonov method applied to the solution of ill-posed problems with a t-product structure. Zbl 07511593 Reichel, Lothar; Ugwu, Ugochukwu O. 9 2022 Averaged Gauss quadrature formulas: properties and applications. Zbl 1490.65042 Reichel, Lothar; Spalević, Miodrag M. 8 2022 Tensor Arnoldi-Tikhonov and GMRES-type methods for ill-posed problems with a t-product structure. Zbl 1481.65060 Reichel, Lothar; Ugwu, Ugochukwu O. 7 2022 Communication in complex networks. Zbl 1485.90019 De la Cruz Cabrera, Omar; Jin, Jiafeng; Noschese, Silvia; Reichel, Lothar 4 2022 A comparison of parameter choice rules for \(\ell^p\)-\(\ell^q\) minimization. Zbl 1500.65027 Buccini, Alessandro; Pragliola, Monica; Reichel, Lothar; Sgallari, Fiorella 4 2022 Estimating and increasing the structural robustness of a network. Zbl 07511599 Noschese, Silvia; Reichel, Lothar 3 2022 Weighted tensor Golub-Kahan-Tikhonov-type methods applied to image processing using a t-product. Zbl 1497.65071 Reichel, Lothar; Ugwu, Ugochukwu O. 3 2022 On the banded Toeplitz structured distance to symmetric positive semidefiniteness. Zbl 1492.65098 Noschese, Silvia; Reichel, Lothar 1 2022 A new representation of generalized averaged Gauss quadrature rules. Zbl 1465.65023 Reichel, Lothar; Spalević, Miodrag M. 10 2021 Generalized cross validation for \(\ell^p\)-\(\ell^q\) minimization. Zbl 1482.65063 Buccini, Alessandro; Reichel, Lothar 9 2021 Linearized Krylov subspace Bregman iteration with nonnegativity constraint. Zbl 1470.65049 Buccini, Alessandro; Pasha, Mirjeta; Reichel, Lothar 7 2021 The extended global Lanczos method, Gauss-Radau quadrature, and matrix function approximation. Zbl 1485.65053 Jagels, Carl; Jbilou, Khalide; Reichel, Lothar 4 2021 Internality of generalized averaged Gauss quadrature rules and truncated variants for modified Chebyshev measures of the first kind. Zbl 1472.65028 Djukić, Dušan Lj.; Mutavdžić Djukić, Rada M.; Reichel, Lothar; Spalević, Miodrag M. 4 2021 Tensor Krylov subspace methods with an invertible linear transform product applied to image processing. Zbl 1465.65035 Reichel, Lothar; Ugwu, Ugochukwu O. 3 2021 Shifted extended global Lanczos processes for trace estimation with application to network analysis. Zbl 1470.65076 Bentbib, A. H.; El Ghomari, M.; Jbilou, K.; Reichel, L. 3 2021 On the block Lanczos and block Golub-Kahan reduction methods applied to discrete ill-posed problems. Zbl 07478608 Alqahtani, Abdulaziz; Gazzola, Silvia; Reichel, Lothar; Rodriguez, Giuseppe 3 2021 Centrality measures for node-weighted networks via line graphs and the matrix exponential. Zbl 1487.05249 De la Cruz Cabrera, Omar; Matar, Mona; Reichel, Lothar 3 2021 Lanczos-based fast blind deconvolution methods. Zbl 1484.65347 Dykes, L.; Ramlau, Ronny; Reichel, L.; Soodhalter, K. M.; Wagner, R. 2 2021 A new nonstationary preconditioned iterative method for linear discrete ill-posed problems with application to image deblurring. Zbl 07332764 Buccini, Alessandro; Donatelli, Marco; Reichel, Lothar; Zhang, Wei-Hong 2 2021 Block matrix models for dynamic networks. Zbl 1510.91126 Al Mugahwi, Mohammed; De La Cruz Cabrera, Omar; Fenu, Caterina; Reichel, Lothar; Rodriguez, Giuseppe 1 2021 Computation of error bounds via generalized Gauss-Radau and Gauss-Lobatto rules. Zbl 1470.65075 Alahmadi, J.; Pranić, M.; Reichel, L. 1 2021 Estimating the error in matrix function approximations. Zbl 07402262 Eshghi, Nasim; Reichel, Lothar 1 2021 A novel modified TRSVD method for large-scale linear discrete ill-posed problems. Zbl 1460.65041 Bai, Xianglan; Huang, Guang-Xin; Lei, Xiao-Jun; Reichel, Lothar; Yin, Feng 1 2021 On the choice of regularization matrix for an \(\ell_2\)-\(\ell_q\) minimization method for image restoration. Zbl 1460.65077 Buccini, Alessandro; Huang, Guangxin; Reichel, Lothar; Yin, Feng 1 2021 New matrix function approximations and quadrature rules based on the Arnoldi process. Zbl 1464.65043 Eshghi, Nasim; Mach, Thomas; Reichel, Lothar 1 2021 Iterative Tikhonov regularization of tensor equations based on the Arnoldi process and some of its generalizations. Zbl 1432.65049 Beik, Fatemeh Panjeh Ali; Najafi-Kalyani, Mehdi; Reichel, Lothar 18 2020 Golub-Kahan bidiagonalization for ill-conditioned tensor equations with applications. Zbl 1483.65069 Beik, Fatemeh P. A.; Jbilou, Khalide; Najafi-Kalyani, Mehdi; Reichel, Lothar 13 2020 Modulus-based iterative methods for constrained \(\ell_p\)-\(\ell_q\) minimization. Zbl 1451.65072 Buccini, A.; Pasha, M.; Reichel, L. 13 2020 An \(\ell^p\)-\(\ell^q\) minimization method with cross-validation for the restoration of impulse noise contaminated images. Zbl 1524.94008 Buccini, Alessandro; Reichel, Lothar 12 2020 Large-scale regression with non-convex loss and penalty. Zbl 1445.62161 Buccini, Alessandro; De la Cruz Cabrera, Omar; Donatelli, Marco; Martinelli, Andrea; Reichel, Lothar 8 2020 Generalized singular value decomposition with iterated Tikhonov regularization. Zbl 1524.65177 Buccini, Alessandro; Pasha, Mirjeta; Reichel, Lothar 7 2020 Edge importance in a network via line graphs and the matrix exponential. Zbl 1507.05089 De la Cruz Cabrera, Omar; Matar, Mona; Reichel, Lothar 5 2020 Comparison of a-posteriori parameter choice rules for linear discrete ill-posed problems. Zbl 1441.65045 Buccini, Alessandro; Park, Yonggi; Reichel, Lothar 3 2020 A spectral method for bipartizing a network and detecting a large anti-community. Zbl 1434.90037 Concas, A.; Noschese, S.; Reichel, L.; Rodriguez, G. 2 2020 Rational averaged Gauss quadrature rules. Zbl 1499.65079 Reichel, Lothar; Spalević, Miodrag M.; Tomanović, Jelena D. 1 2020 Simple stopping criteria for the LSQR method applied to discrete ill-posed problems. Zbl 1462.65040 Reichel, Lothar; Sadok, Hassane; Zhang, Wei-Hong 1 2020 An \(\ell^2\)-\(\ell^q\) regularization method for large discrete ill-posed problems. Zbl 1502.65017 Buccini, Alessandro; Reichel, Lothar 18 2019 Analysis of directed networks via the matrix exponential. Zbl 1417.90041 De la Cruz Cabrera, Omar; Matar, Mona; Reichel, Lothar 12 2019 Internality of generalized averaged Gaussian quadrature rules and truncated variants for modified Chebyshev measures of the second kind. Zbl 1401.65027 Djukić, Dušan Lj.; Reichel, Lothar; Spalević, Miodrag M.; Tomanović, Jelena D. 9 2019 Arnoldi decomposition, GMRES, and preconditioning for linear discrete ill-posed problems. Zbl 1417.65119 Gazzola, Silvia; Noschese, Silvia; Novati, Paolo; Reichel, Lothar 8 2019 On the choice of subspace for large-scale Tikhonov regularization problems in general form. Zbl 1434.65042 Huang, Guangxin; Reichel, Lothar; Yin, Feng 7 2019 Internality of generalized averaged Gaussian quadrature rules and truncated variants for measures induced by Chebyshev polynomials. Zbl 1416.65074 Djukić, Dušan Lj.; Reichel, Lothar; Spalević, Miodrag M. 6 2019 Eigenvector sensitivity under general and structured perturbations of tridiagonal Toeplitz-type matrices. Zbl 1449.15071 Noschese, Silvia; Reichel, Lothar 6 2019 Generalized block anti-Gauss quadrature rules. Zbl 07127287 Alqahtani, Hessah; Reichel, Lothar 5 2019 Error estimates for Arnoldi-Tikhonov regularization for ill-posed operator equations. Zbl 1416.65162 Ramlau, Ronny; Reichel, Lothar 5 2019 Optimally conditioned Vandermonde-like matrices. Zbl 1427.65055 Kuian, Mykhailo; Reichel, Lothar; Shiyanovskii, Sergij 1 2019 Fast factorization of rectangular Vandermonde matrices with Chebyshev nodes. Zbl 1434.65028 Kuian, Mykhailo; Reichel, Lothar; Shiyanovskii, Sergij V. 1 2019 Parameter determination for Tikhonov regularization problems in general form. Zbl 1391.65100 Park, Y.; Reichel, L.; Rodriguez, G.; Yu, X. 12 2018 Solution methods for linear discrete ill-posed problems for color image restoration. Zbl 1402.65031 Bentbib, A. H.; El Guide, M.; Jbilou, K.; Onunwor, E.; Reichel, L. 9 2018 Simplified anti-Gauss quadrature rules with applications in linear algebra. Zbl 1390.41036 Alqahtani, Hessah; Reichel, Lothar 7 2018 The extended global Lanczos method for matrix function approximation. Zbl 1408.65018 Bentbib, A. H.; El Ghomari, M.; Jagels, C.; Jbilou, K.; Reichel, L. 6 2018 Regularization matrices for discrete ill-posed problems in several space dimensions. Zbl 1513.65112 Dykes, Laura; Huang, Guangxin; Noschese, Silvia; Reichel, Lothar 5 2018 Numerical aspects of the nonstationary modified linearized Bregman algorithm. Zbl 1427.65052 Buccini, Alessandro; Park, Yonggi; Reichel, Lothar 4 2018 Simple efficient solvers for certain ill-conditioned systems of linear equations, including \(H(\operatorname{div})\) problems. Zbl 1457.65163 Ku, Jaeun; Reichel, Lothar 3 2018 Correction to: “Solution methods for linear discrete ill-posed problems for color image restoration”. Zbl 1406.65026 Bentbib, A. H.; El Guide, M.; Jbilou, K.; Onunwor, E.; Reichel, L. 2 2018 Multiple orthogonal polynomials applied to matrix function evaluation. Zbl 06989580 Alqahtani, Hessah; Reichel, Lothar 1 2018 Majorization-minimization generalized Krylov subspace methods for \({\ell _p}\)-\({\ell _q}\) optimization applied to image restoration. Zbl 1369.65073 Huang, G.; Lanza, A.; Morigi, S.; Reichel, L.; Sgallari, F. 32 2017 GCV for Tikhonov regularization by partial SVD. Zbl 1386.65118 Fenu, Caterina; Reichel, Lothar; Rodriguez, Giuseppe; Sadok, Hassane 26 2017 Modulus-based iterative methods for constrained Tikhonov regularization. Zbl 1360.65112 Bai, Zhong-Zhi; Buccini, Alessandro; Hayami, Ken; Reichel, Lothar; Yin, Jun-Feng; Zheng, Ning 24 2017 Iterated Tikhonov regularization with a general penalty term. Zbl 1424.65045 Buccini, Alessandro; Donatelli, Marco; Reichel, Lothar 18 2017 Global Golub-Kahan bidiagonalization applied to large discrete ill-posed problems. Zbl 1365.65102 Bentbib, A. H.; El Guide, M.; Jbilou, K.; Reichel, L. 11 2017 Fractional Tikhonov regularization with a nonlinear penalty term. Zbl 1368.65065 Morigi, Serena; Reichel, Lothar; Sgallari, Fiorella 9 2017 On the computation of a truncated SVD of a large linear discrete ill-posed problem. Zbl 1368.65063 Onunwor, Enyinda; Reichel, Lothar 8 2017 Generalized averaged Szegő quadrature rules. Zbl 1382.65070 Jagels, Carl; Reichel, Lothar; Tang, Tunan 6 2017 Enhanced matrix function approximation. Zbl 1392.65019 Eshghi, Nasim; Reichel, Lothar; Spalević, Miodrag M. 3 2017 Approximated structured pseudospectra. Zbl 1449.65080 Noschese, Silvia; Reichel, Lothar 2 2017 Circulant preconditioners for discrete ill-posed Toeplitz systems. Zbl 1368.65039 Dykes, L.; Noschese, S.; Reichel, L. 2 2017 GCV for Tikhonov regularization via global Golub-Kahan decomposition. Zbl 1374.65064 Fenu, Caterina; Reichel, Lothar; Rodriguez, Giuseppe 27 2016 Generalized averaged Gauss quadrature rules for the approximation of matrix functionals. Zbl 1352.65089 Reichel, Lothar; Spalević, Miodrag M.; Tang, Tunan 17 2016 Truncated generalized averaged Gauss quadrature rules. Zbl 1346.65009 Djukić, Dušan Lj.; Reichel, Lothar; Spalević, Miodrag M. 12 2016 Projected nonstationary iterated Tikhonov regularization. Zbl 1341.65017 Huang, Guangxin; Reichel, Lothar; Yin, Feng 12 2016 New block quadrature rules for the approximation of matrix functions. Zbl 1338.65122 Reichel, Lothar; Rodriguez, Giuseppe; Tang, Tunan 11 2016 Internality of generalized averaged Gauss rules and their truncations for Bernstein-Szegő weights. Zbl 1355.65043 Djukić, D. Lj.; Reichel, L.; Spalević, M. M.; Tomanović, J. D. 10 2016 A global Lanczos method for image restoration. Zbl 1382.94009 Bentbib, A. H.; El Guide, M.; Jbilou, K.; Reichel, L. 9 2016 Regularization matrices determined by matrix nearness problems. Zbl 1338.65296 Huang, Guangxin; Noschese, Silvia; Reichel, Lothar 9 2016 Adaptive cross approximation for ill-posed problems. Zbl 1416.65565 Mach, T.; Reichel, L.; Van Barel, M.; Vandebril, R. 8 2016 On the Lanczos and Golub-Kahan reduction methods applied to discrete ill-posed problems. Zbl 1413.65120 Gazzola, Silvia; Onunwor, Enyinda; Reichel, Lothar; Rodriguez, Giuseppe 7 2016 A new framework for multi-parameter regularization. Zbl 1353.65032 Gazzola, Silvia; Reichel, Lothar 5 2016 A rational Arnoldi process with applications. Zbl 1424.65042 Pranić, Miroslav S.; Reichel, Lothar; Rodriguez, Giuseppe; Wang, Zhengsheng; Yu, Xuebo 5 2016 Some matrix nearness problems suggested by Tikhonov regularization. Zbl 1338.65109 Noschese, Silvia; Reichel, Lothar 5 2016 On the choice of solution subspace for nonstationary iterated Tikhonov regularization. Zbl 1350.65034 Huang, Guangxin; Reichel, Lothar; Yin, Feng 4 2016 Convergence rates for inverse-free rational approximation of matrix functions. Zbl 1352.65135 Jagels, Carl; Mach, Thomas; Reichel, Lothar; Vandebril, Raf 2 2016 A generalized Krylov subspace method for \(\ell_p\)-\(\ell_q\) minimization. Zbl 1343.65077 Lanza, A.; Morigi, S.; Reichel, L.; Sgallari, F. 34 2015 On fractional Tikhonov regularization. Zbl 1327.65075 Gerth, Daniel; Klann, Esther; Ramlau, Ronny; Reichel, Lothar 25 2015 Regularization parameter determination for discrete ill-posed problems. Zbl 1295.65046 Hochstenbach, M. E.; Reichel, L.; Rodriguez, G. 18 2015 Arnoldi methods for image deblurring with anti-reflective boundary conditions. Zbl 1338.94006 Donatelli, Marco; Martin, David; Reichel, Lothar 15 2015 Bounding matrix functionals via partial global block Lanczos decomposition. Zbl 1325.65060 Bellalij, M.; Reichel, L.; Rodriguez, G.; Sadok, H. 14 2015 Fractional regularization matrices for linear discrete ill-posed problems. Zbl 1360.65113 Hochstenbach, Michiel E.; Noschese, Silvia; Reichel, Lothar 12 2015 Rescaling the GSVD with application to ill-posed problems. Zbl 1314.65058 Dykes, L.; Noschese, S.; Reichel, L. 11 2015 A Golub-Kahan-type reduction method for matrix pairs. Zbl 1329.65082 Hochstenbach, Michiel E.; Reichel, Lothar; Yu, Xuebo 10 2015 Tikhonov regularization via flexible Arnoldi reduction. Zbl 1332.65058 Reichel, Lothar; Yu, Xuebo 8 2015 Matrix decompositions for Tikhonov regularization. Zbl 1327.65076 Reichel, Lothar; Yu, Xuebo 6 2015 ...and 192 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,161 Authors 224 Reichel, Lothar 40 Jbilou, Khalide 31 Sgallari, Fiorella 29 Buccini, Alessandro 28 Calvetti, Daniela 26 Spalević, Miodrag M. 23 Morigi, Serena 23 Noschese, Silvia 22 Rodriguez, Giuseppe 20 Bentbib, Abdeslem Hafid 20 Simoncini, Valeria 19 Sadok, Hassane 17 Benner, Peter 17 Donatelli, Marco 17 Gazzola, Silvia 16 Van Barel, Marc 15 Hochstenbach, Michiel E. 15 Toutounian, Faezeh 14 Dehghan Takht Fooladi, Mehdi 14 Lanza, Alessandro 14 Novati, Paolo 13 Xiong, Xiangtuan 12 Baglama, James 12 Bouhamidi, Abderrahman 12 Bultheel, Adhemar François 11 Benzi, Michele 11 Caliari, Marco 11 Huang, Guang-Xin 11 Huang, Ting-Zhu 11 Jagels, Carl F. 11 Olshevsky, Vadim 11 Schweitzer, Marcel 11 Vandebril, Raf 10 Böttcher, Albrecht 10 Chung, Julianne M. 10 Cruz-Barroso, Ruymán 10 Hajarian, Masoud 10 Ma, Changfeng 10 Mitrouli, Marilena 10 Trefethen, Lloyd Nicholas 10 Wei, Yimin 9 Beckermann, Bernhard 9 De la Cruz Cabrera, Omar 9 Embree, Mark 9 Shirilord, Akbar 9 Strakoš, Zdeněk 9 Wang, Qingwen 8 Bebiano, Natália Isabel Quadros 8 Đukić, Dušan Lj. 8 Faßbender, Heike 8 Fenu, Caterina 8 Güttel, Stefan 8 Hansen, Per Christian 8 Hayami, Ken 8 Jia, Zhongxiao 8 Kressner, Daniel 8 Pranic, Miroslav S. 8 Saad, Yousef 8 Viloche Bazán, Fermín S. 8 Wu, Gang 7 Fika, Paraskevi 7 Frommer, Andreas 7 Gallopoulos, Efstratios 7 Morgan, Ronald B. 7 Nagy, James Gerard 7 Pragliola, Monica 7 Tambue, Antoine 7 Wang, Xiang 7 Ye, Qiang 7 Yin, Feng 6 Beik, Fatemeh Panjeh Ali 6 Bella, Tom 6 Carson, Erin Claire 6 De Marchi, Stefano 6 Díaz de Alba, Patricia 6 Druskin, Vladimir 6 Duintjer Tebbens, Jurjen 6 Dykes, Laura 6 El Ghomari, M. 6 Gemignani, Luca 6 Guo, Zhichang 6 Heyouni, Mohammed 6 Landi, Germana 6 Loli Piccolomini, Elena 6 Lu, Linzhang 6 Melman, Aaron 6 Nasser, Mohamed M. S. 6 Ostermann, Alexander 6 Palitta, Davide 6 Pasha, Mirjeta 6 Ramlau, Ronny 6 Serra-Capizzano, Stefano 6 Vianello, Marco 6 Xue, Xuemin 6 Zhao, Xile 5 Ammar, Gregory S. 5 Bai, Zhongzhi 5 Bini, Dario Andrea 5 Borges, Leonardo Silveira 5 Chen, Ke ...and 2,061 more Authors all top 5 Cited in 255 Serials 210 Journal of Computational and Applied Mathematics 145 Linear Algebra and its Applications 111 Numerical Algorithms 86 Applied Numerical Mathematics 73 Applied Mathematics and Computation 73 BIT 51 SIAM Journal on Scientific Computing 45 Numerical Linear Algebra with Applications 40 Computers & Mathematics with Applications 40 Numerische Mathematik 40 SIAM Journal on Matrix Analysis and Applications 37 Journal of Scientific Computing 37 ETNA. 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