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Author ID: reichel.lothar Recent zbMATH articles by "Reichel, Lothar"
Published as: Reichel, Lothar; Reichel, L.
Homepage: http://www.math.kent.edu/~reichel/
External Links: MGP · ORCID · dblp · GND
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 Lewis, Bryan W.
8 Bentbib, Abdeslem Hafid
8 Donatelli, Marco
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-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 Bini, Dario Andrea
1 Brezinski, Claude
1 Concas, Anna
1 Dahlquist, Germund
1 de Alba, P. Díaz
...and 42 more Co-Authors
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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

Publications by Year

Citations contained in zbMATH Open

290 Publications have been cited 3,609 times in 1,655 Documents Cited by Year
Application of ADI iterative methods to the restoration of noisy images. Zbl 0849.65101
Calvetti, D.; Reichel, L.
103
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
87
2013
Error estimates and evaluation of matrix functions via the Faber transform. Zbl 1204.65041
Beckermann, Bernhard; Reichel, Lothar
80
2009
Tikhonov regularization and the L-curve for large discrete ill-posed problems. Zbl 0977.65030
Calvetti, D.; Morigi, S.; Reichel, L.; Sgallari, F.
78
2000
Eigenvalues and pseudo-eigenvalues of Toeplitz matrices. Zbl 0748.15010
Reichel, Lothar; Trefethen, Lloyd N.
65
1992
Augmented implicitly restarted Lanczos bidiagonalization methods. Zbl 1087.65039
Baglama, James; Reichel, Lothar
63
2005
Tikhonov regularization of large linear problems. Zbl 1038.65048
Calvetti, Daniela; Reichel, Lothar
55
2003
Newton interpolation at Leja points. Zbl 0702.65012
Reichel, Lothar
53
1990
Estimation of the \(L\)-curve via Lanczos bidiagonalization. Zbl 0945.65044
Calvetti, D.; Golub, G. H.; Reichel, L.
50
1999
An implicit restarted Lanczos method for large symmetric eigenvalue problems. Zbl 0809.65030
Calvetti, D.; Reichel, L.; Sorensen, Danny C.
50
1994
A hybrid GMRES algorithm for nonsymmetric linear systems. Zbl 0757.65035
Nachtigal, Noël M.; Reichel, Lothar; Trefethen, Lloyd N.
49
1992
Tridiagonal Toeplitz matrices: properties and novel applications. Zbl 1289.65082
Noschese, Silvia; Pasquini, Lionello; Reichel, Lothar
47
2013
Computation of Gauss-Kronrod quadrature rules. Zbl 0947.65022
Calvetti, D.; Golub, G. H.; Gragg, W. B.; Reichel, L.
46
2000
Fractional Tikhonov regularization for linear discrete ill-posed problems. Zbl 1215.65075
Hochstenbach, Michiel E.; Reichel, Lothar
42
2011
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
Adaptively preconditioned GMRES algorithms. Zbl 0954.65026
Baglama, J.; Calvetti, D.; Golub, G. H.; Reichel, L.
38
1999
IRBL: An implicitly restarted Block-Lanczos method for large-scale Hermitian eigenproblems. Zbl 1044.65027
Baglama, J.; Calvetti, D.; Reichel, L.
36
2003
Simple square smoothing regularization operators. Zbl 1171.65033
Reichel, Lothar; Ye, Qiang
35
2009
Breakdown-free GMRES for singular systems. Zbl 1086.65030
Reichel, Lothar; Ye, Qiang
34
2005
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
A generalized Krylov subspace method for \(\ell_p\)-\(\ell_q\) minimization. Zbl 1343.65077
Lanza, A.; Morigi, S.; Reichel, L.; Sgallari, F.
31
2015
On the choice of subspace for iterative methods for linear discrete ill-posed problems. Zbl 0994.65043
Calvetti, Daniela; Lewis, Bryan; Reichel, Lothar
30
2001
Block Gauss and anti-Gauss quadrature with application to networks. Zbl 1425.65063
Fenu, C.; Martin, D.; Reichel, L.; Rodriguez, G.
30
2013
Tikhonov regularization based on generalized Krylov subspace methods. Zbl 1246.65068
Reichel, Lothar; Sgallari, Fiorella; Ye, Qiang
30
2012
\(L\)-curve curvature bounds via Lanczos bidiagonalization. Zbl 1029.65041
Calvetti, D.; Hansen, P. C.; Reichel, L.
29
2002
Constructing a unitary Hessenberg matrix from spectral data. Zbl 0736.65027
Ammar, Gregory; Gragg, William; Reichel, Lothar
28
1991
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.
28
2017
Discrete least squares approximation by trigonometric polynomials. Zbl 0733.65102
Reichel, L.; Ammar, G. S.; Gragg, W. B.
27
1991
Large-scale Tikhonov regularization via reduction by orthogonal projection. Zbl 1241.65044
Lampe, Jörg; Reichel, Lothar; Voss, Heinrich
27
2012
Restarted block Lanczos bidiagonalization methods. Zbl 1110.65027
Baglama, James; Reichel, Lothar
26
2006
Downdating of Szegö polynomials and data-fitting applications. Zbl 0755.65027
Ammar, G. S.; Gragg, W. B.; Reichel, L.
26
1992
Arnoldi-Tikhonov regularization methods. Zbl 1166.65016
Lewis, Bryan; Reichel, Lothar
26
2009
GCV for Tikhonov regularization via global Golub-Kahan decomposition. Zbl 1374.65064
Fenu, Caterina; Reichel, Lothar; Rodriguez, Giuseppe
25
2016
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
The extended Krylov subspace method and orthogonal Laurent polynomials. Zbl 1166.65019
Jagels, Carl; Reichel, Lothar
24
2009
An iterative method for Tikhonov regularization with a general linear regularization operator. Zbl 1210.65092
Hochstenbach, Michiel E.; Reichel, Lothar
24
2010
On fractional Tikhonov regularization. Zbl 1327.65075
Gerth, Daniel; Klann, Esther; Ramlau, Ronny; Reichel, Lothar
24
2015
GMRES, L-curves, and discrete ill-posed problems. Zbl 1003.65040
Calvetti, D.; Lewis, B.; Reichel, L.
23
2002
Recursion relations for the extended Krylov subspace method. Zbl 1211.65039
Jagels, Carl; Reichel, Lothar
23
2011
GCV for Tikhonov regularization by partial SVD. Zbl 1386.65118
Fenu, Caterina; Reichel, Lothar; Rodriguez, Giuseppe; Sadok, Hassane
23
2017
A Newton basis GMRES implementation. Zbl 0818.65022
Bai, Zhaojun; Hu, Dan; Reichel, Lothar
22
1994
A new Tikhonov regularization method. Zbl 1236.65038
Fuhry, Martin; Reichel, Lothar
22
2012
A fast method for solving certain integral equations of the first kind with application to conformal mapping. Zbl 0587.30007
Reichel, Lothar
21
1986
Orthogonal projection regularization operators. Zbl 1124.65043
Morigi, S.; Reichel, L.; Sgallari, F.
21
2007
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
An implicitly restarted block Lanczos bidiagonalization method using Leja shifts. Zbl 1269.65038
Baglama, James; Reichel, Lothar
20
2013
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
Error estimates for large-scale ill-posed problems. Zbl 1166.65332
Reichel, L.; Rodriguez, G.; Seatzu, S.
19
2009
A generalized ADI iterative method. Zbl 0797.65030
Levenberg, N.; Reichel, L.
19
1993
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
Algorithms for range restricted iterative methods for linear discrete ill-posed problems. Zbl 1236.65040
Neuman, Arthur; Reichel, Lothar; Sadok, Hassane
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
Nonnegativity and iterative methods for ill-posed problems. Zbl 1077.65041
Calvetti, D.; Landi, G.; Reichel, L.; Sgallari, F.
17
2004
Regularization parameter determination for discrete ill-posed problems. Zbl 1295.65046
Hochstenbach, M. E.; Reichel, L.; Rodriguez, G.
17
2015
Augmented GMRES-type methods. Zbl 1199.65096
Baglama, James; Reichel, Lothar
17
2007
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
A new zero-finder for Tikhonov regularization. Zbl 1161.65029
Reichel, Lothar; Shyshkov, Andriy
17
2008
Square regularization matrices for large linear discrete ill-posed problems. Zbl 1289.65096
Donatelli, Marco; Neuman, Arthur; Reichel, Lothar
17
2012
A truncated projected SVD method for linear discrete ill-posed problems. Zbl 1114.65039
Morigi, Serena; Reichel, Lothar; Sgallari, Fiorella
16
2006
Newton interpolation in Fejér and Chebyshev points. Zbl 0673.65004
Fischer, Bernd; Reichel, Lothar
16
1989
Fast \(QR\) decomposition of Vandermonde-like matrices and polynomial least squares approximation. Zbl 0739.65024
Reichel, Lothar
16
1991
Decomposition methods for large linear discrete ill-posed problems. Zbl 1106.65035
Baglama, James; Reichel, Lothar
16
2007
Simplified GSVD computations for the solution of linear discrete ill-posed problems. Zbl 1291.65117
Dykes, L.; Reichel, L.
16
2014
Iterated Tikhonov regularization with a general penalty term. Zbl 1424.65045
Buccini, Alessandro; Donatelli, Marco; Reichel, Lothar
16
2017
A new \(L\)-curve for ill-posed problems. Zbl 1145.65035
Reichel, Lothar; Sadok, Hassane
16
2008
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
Generalized averaged Gauss quadrature rules for the approximation of matrix functionals. Zbl 1352.65089
Reichel, Lothar; Spalević, Miodrag M.; Tang, Tunan
15
2016
An adaptive Chebyshev iterative method for nonsymmetric linear systems based on modified moments. Zbl 0796.65033
Calvetti, D.; Golub, G. H.; Reichel, L.
15
1994
An \(\ell^2\)-\(\ell^q\) regularization method for large discrete ill-posed problems. Zbl 1502.65017
Buccini, Alessandro; Reichel, Lothar
15
2019
Lanczos-based exponential filtering for discrete ill-posed problems. Zbl 0997.65068
Calvetti, D.; Reichel, L.
14
2002
Symmetric Gauss-Lobatto and modified anti-Gauss rules. Zbl 1056.41017
Calvetti, Daniela; Reichel, Lothar
14
2003
L-curve and curvature bounds for Tikhonov regularization. Zbl 1049.65029
Calvetti, D.; Reichel, L.; Shuibi, A.
14
2004
Tikhonov regularization with nonnegativity constraint. Zbl 1069.65047
Calvetti, D.; Lewis, B.; Reichel, L.; Sgallari, F.
14
2004
Discrete ill-posed least-squares problems with a solution norm constraint. Zbl 1237.65039
Hochstenbach, M. E.; McNinch, N.; Reichel, L.
14
2012
Iterative methods for ill-posed problems and semiconvergent sequences. Zbl 1092.65025
Morigi, S.; Reichel, L.; Sgallari, F.; Zama, F.
14
2006
Arnoldi methods for image deblurring with anti-reflective boundary conditions. Zbl 1338.94006
Donatelli, Marco; Martin, David; Reichel, Lothar
14
2015
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
A stable Richardson iteration method for complex linear systems. Zbl 0641.65030
Fischer, Bernd; Reichel, Lothar
13
1988
Square smoothing regularization matrices with accurate boundary conditions. Zbl 1294.65099
Donatelli, M.; Reichel, L.
13
2014
On the generation of Krylov subspace bases. Zbl 1253.65049
Philippe, Bernard; Reichel, Lothar
13
2012
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
Matrices, moments, and rational quadrature. Zbl 1191.65010
López Lagomasino, G.; Reichel, L.; Wunderlich, L.
13
2008
A modified truncated singular value decomposition method for discrete ill-posed problems. Zbl 1340.65070
Noschese, Silvia; Reichel, Lothar
13
2014
Bounding matrix functionals via partial global block Lanczos decomposition. Zbl 1325.65060
Bellalij, M.; Reichel, L.; Rodriguez, G.; Sadok, H.
13
2015
Fast solution methods for Fredholm integral equations of the second kind. Zbl 0706.65143
Reichel, Lothar
12
1990
The structured distance to normality of an irreducible real tridiagonal matrix. Zbl 1171.65037
Noschese, S.; Pasquini, L.; Reichel, L.
12
2007
The structured distance to normality of Toeplitz matrices with application to preconditioning. Zbl 1245.65036
Noschese, Silvia; Reichel, Lothar
12
2011
Analysis of directed networks via the matrix exponential. Zbl 1417.90041
De la Cruz Cabrera, Omar; Matar, Mona; Reichel, Lothar
12
2019
Modulus-based iterative methods for constrained \(\ell_p\)-\(\ell_q\) minimization. Zbl 1451.65072
Buccini, A.; Pasha, M.; Reichel, L.
12
2020
Adaptive Richardson iteration based on Leja points. Zbl 0863.65012
Calvetti, D.; Reichel, L.
11
1996
On the solution of large Sylvester-observer equations. Zbl 1055.65079
Calvetti, D.; Lewis, B.; Reichel, L.
11
2001
On the application of orthogonal polynomials to the iterative solution of linear systems of equations with indefinite or non-Hermitian matrices. Zbl 0621.65018
Gragg, W. B.; Reichel, L.
11
1987
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.
3
2023
Perron communicability and sensitivity of multilayer networks. Zbl 1508.65031
El-Halouy, Smahane; Noschese, Silvia; Reichel, Lothar
3
2023
Limited memory restarted \(\ell^p\)-\(\ell^q\) minimization methods using generalized Krylov subspaces. Zbl 1518.65030
Buccini, Alessandro; Reichel, Lothar
2
2023
Krylov subspace split Bregman methods. Zbl 07630340
Alotaibi, Majed; Buccini, Alessandro; 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 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
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.
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
Averaged Gauss quadrature formulas: properties and applications. Zbl 1490.65042
Reichel, Lothar; Spalević, Miodrag M.
4
2022
Communication in complex networks. Zbl 1485.90019
De la Cruz Cabrera, Omar; Jin, Jiafeng; 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
Estimating and increasing the structural robustness of a network. Zbl 07511599
Noschese, Silvia; Reichel, Lothar
2
2022
A comparison of parameter choice rules for \(\ell^p\)-\(\ell^q\) minimization. Zbl 1500.65027
Buccini, Alessandro; Pragliola, Monica; Reichel, Lothar; Sgallari, Fiorella
2
2022
On the banded Toeplitz structured distance to symmetric positive semidefiniteness. Zbl 1492.65098
Noschese, Silvia; Reichel, Lothar
1
2022
Generalized cross validation for \(\ell^p\)-\(\ell^q\) minimization. Zbl 1482.65063
Buccini, Alessandro; Reichel, Lothar
8
2021
Linearized Krylov subspace Bregman iteration with nonnegativity constraint. Zbl 1470.65049
Buccini, Alessandro; Pasha, Mirjeta; Reichel, Lothar
7
2021
A new representation of generalized averaged Gauss quadrature rules. Zbl 1465.65023
Reichel, Lothar; Spalević, Miodrag M.
5
2021
The extended global Lanczos method, Gauss-Radau quadrature, and matrix function approximation. Zbl 1485.65053
Jagels, Carl; Jbilou, Khalide; Reichel, Lothar
4
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
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.
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
2
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
2
2021
Tensor Krylov subspace methods with an invertible linear transform product applied to image processing. Zbl 1465.65035
Reichel, Lothar; Ugwu, Ugochukwu O.
2
2021
Lanczos-based fast blind deconvolution methods. Zbl 1484.65347
Dykes, L.; Ramlau, Ronny; Reichel, L.; Soodhalter, K. M.; Wagner, R.
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
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
New matrix function approximations and quadrature rules based on the Arnoldi process. Zbl 1464.65043
Eshghi, Nasim; Mach, Thomas; Reichel, Lothar
1
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
1
2021
Estimating the error in matrix function approximations. Zbl 07402262
Eshghi, Nasim; Reichel, Lothar
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
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.
12
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
11
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
7
2020
Generalized singular value decomposition with iterated Tikhonov regularization. Zbl 1524.65177
Buccini, Alessandro; Pasha, Mirjeta; Reichel, Lothar
6
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
4
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
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
15
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
6
2019
Eigenvector sensitivity under general and structured perturbations of tridiagonal Toeplitz-type matrices. Zbl 1449.15071
Noschese, Silvia; Reichel, Lothar
6
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
Error estimates for Arnoldi-Tikhonov regularization for ill-posed operator equations. Zbl 1416.65162
Ramlau, Ronny; Reichel, Lothar
5
2019
Generalized block anti-Gauss quadrature rules. Zbl 07127287
Alqahtani, Hessah; Reichel, Lothar
5
2019
Fast factorization of rectangular Vandermonde matrices with Chebyshev nodes. Zbl 1434.65028
Kuian, Mykhailo; Reichel, Lothar; Shiyanovskii, Sergij V.
1
2019
Optimally conditioned Vandermonde-like matrices. Zbl 1427.65055
Kuian, Mykhailo; Reichel, Lothar; Shiyanovskii, Sergij
1
2019
Parameter determination for Tikhonov regularization problems in general form. Zbl 1391.65100
Park, Y.; Reichel, L.; Rodriguez, G.; Yu, X.
11
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
4
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.
28
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
GCV for Tikhonov regularization by partial SVD. Zbl 1386.65118
Fenu, Caterina; Reichel, Lothar; Rodriguez, Giuseppe; Sadok, Hassane
23
2017
Iterated Tikhonov regularization with a general penalty term. Zbl 1424.65045
Buccini, Alessandro; Donatelli, Marco; Reichel, Lothar
16
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.
10
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
Fractional Tikhonov regularization with a nonlinear penalty term. Zbl 1368.65065
Morigi, Serena; Reichel, Lothar; Sgallari, Fiorella
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
Circulant preconditioners for discrete ill-posed Toeplitz systems. Zbl 1368.65039
Dykes, L.; Noschese, S.; Reichel, L.
2
2017
Approximated structured pseudospectra. Zbl 1449.65080
Noschese, Silvia; Reichel, Lothar
1
2017
GCV for Tikhonov regularization via global Golub-Kahan decomposition. Zbl 1374.65064
Fenu, Caterina; Reichel, Lothar; Rodriguez, Giuseppe
25
2016
Generalized averaged Gauss quadrature rules for the approximation of matrix functionals. Zbl 1352.65089
Reichel, Lothar; Spalević, Miodrag M.; Tang, Tunan
15
2016
Truncated generalized averaged Gauss quadrature rules. Zbl 1346.65009
Djukić, Dušan Lj.; Reichel, Lothar; Spalević, Miodrag M.
11
2016
Projected nonstationary iterated Tikhonov regularization. Zbl 1341.65017
Huang, Guangxin; Reichel, Lothar; Yin, Feng
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
New block quadrature rules for the approximation of matrix functions. Zbl 1338.65122
Reichel, Lothar; Rodriguez, Giuseppe; Tang, Tunan
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
8
2016
Adaptive cross approximation for ill-posed problems. Zbl 1416.65565
Mach, T.; Reichel, L.; Van Barel, M.; Vandebril, R.
6
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
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
A new framework for multi-parameter regularization. Zbl 1353.65032
Gazzola, Silvia; Reichel, Lothar
4
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.
31
2015
On fractional Tikhonov regularization. Zbl 1327.65075
Gerth, Daniel; Klann, Esther; Ramlau, Ronny; Reichel, Lothar
24
2015
Regularization parameter determination for discrete ill-posed problems. Zbl 1295.65046
Hochstenbach, M. E.; Reichel, L.; Rodriguez, G.
17
2015
Arnoldi methods for image deblurring with anti-reflective boundary conditions. Zbl 1338.94006
Donatelli, Marco; Martin, David; Reichel, Lothar
14
2015
Bounding matrix functionals via partial global block Lanczos decomposition. Zbl 1325.65060
Bellalij, M.; Reichel, L.; Rodriguez, G.; Sadok, H.
13
2015
Fractional regularization matrices for linear discrete ill-posed problems. Zbl 1360.65113
Hochstenbach, Michiel E.; Noschese, Silvia; Reichel, Lothar
11
2015
A Golub-Kahan-type reduction method for matrix pairs. Zbl 1329.65082
Hochstenbach, Michiel E.; Reichel, Lothar; Yu, Xuebo
10
2015
Rescaling the GSVD with application to ill-posed problems. Zbl 1314.65058
Dykes, L.; Noschese, S.; Reichel, L.
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
Some properties of range restricted GMRES methods. Zbl 1321.65046
Bellalij, M.; Reichel, L.; Sadok, H.
5
2015
Generalized anti-Gauss quadrature rules. Zbl 1314.65038
Pranić, Miroslav S.; Reichel, Lothar
5
2015
...and 190 more Documents
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Cited by 2,103 Authors

222 Reichel, Lothar
39 Jbilou, Khalide
29 Sgallari, Fiorella
28 Buccini, Alessandro
28 Calvetti, Daniela
24 Spalević, Miodrag M.
23 Morigi, Serena
23 Noschese, Silvia
21 Rodriguez, Giuseppe
20 Simoncini, Valeria
19 Bentbib, Abdeslem Hafid
19 Sadok, Hassane
16 Benner, Peter
16 Gazzola, Silvia
16 Van Barel, Marc
15 Hochstenbach, Michiel E.
14 Dehghan Takht Fooladi, Mehdi
14 Donatelli, Marco
14 Novati, Paolo
14 Toutounian, Faezeh
13 Xiong, Xiangtuan
12 Baglama, James
12 Lanza, Alessandro
11 Benzi, Michele
11 Bouhamidi, Abderrahman
11 Bultheel, Adhemar François
11 Caliari, Marco
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 Huang, Guang-Xin
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
8 Bebiano, Natália Isabel Quadros
8 Faßbender, Heike
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 Wang, Qingwen
8 Wu, Gang
7 Fenu, Caterina
7 Fika, Paraskevi
7 Gallopoulos, Efstratios
7 Morgan, Ronald B.
7 Nagy, James Gerard
7 Tambue, Antoine
7 Wang, Xiang
7 Yin, Feng
6 Beik, Fatemeh Panjeh Ali
6 Bella, Tom
6 Carson, Erin Claire
6 De Marchi, Stefano
6 Druskin, Vladimir
6 Duintjer Tebbens, Jurjen
6 Đukić, Dušan Lj.
6 Dykes, Laura
6 El Ghomari, M.
6 Frommer, Andreas
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 Pasha, Mirjeta
6 Ramlau, Ronny
6 Serra-Capizzano, Stefano
6 Vianello, Marco
6 Xue, Xuemin
6 Ye, Qiang
6 Zhao, Xile
5 Ammar, Gregory S.
5 Bai, Zhongzhi
5 Borges, Leonardo Silveira
5 Chen, Ke
5 Dax, Achiya
5 de Sturler, Eric
5 Díaz de Alba, Patricia
5 Eidelman, Yuli
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210 Journal of Computational and Applied Mathematics
145 Linear Algebra and its Applications
105 Numerical Algorithms
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