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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
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Co-Authors

31 single-authored
68 Calvetti, Daniela
27 Sgallari, Fiorella
25 Noschese, Silvia
19 Morigi, Serena
18 Jbilou, Khalide
17 Rodriguez, Giuseppe
15 Buccini, Alessandro
15 Sadok, Hassane
13 Baglama, James
12 Jagels, Carl F.
10 Ammar, Gregory S.
10 Gragg, William B.
10 Spalević, Miodrag M.
9 De la Cruz Cabrera, Omar
9 Lewis, Bryan W.
8 Hochstenbach, Michiel E.
8 Huang, Guang-Xin
7 Bentbib, Abdeslem Hafid
7 Donatelli, Marco
7 Dykes, Laura
7 Pranic, Miroslav S.
6 Fenu, Caterina
6 Golub, Gene Howard
6 Ramlau, Ronny
6 Ye, Qiang
5 Bai, Zhongzhi
5 Đukić, Dušan Lj.
5 Martin, David R.
5 Yin, Feng
5 Yu, Xuebo
4 Alqahtani, Hessah
4 Bouhamidi, Abderrahman
4 El-Guide, Mohamed
4 Gazzola, Silvia
4 Hearn, Tristan A.
4 Kim, Sunmi
4 Onunwor, Enyinda
4 Park, Yonggi
4 Shuibi, A.
4 Shyshkov, Andriy
4 Ugwu, Ugochukwu O.
3 Al Mugahwi, Mohammed
3 Alahmadi, J.
3 El Ghomari, M.
3 Eshghi, Nasim
3 Gautschi, Walter
3 Hayami, Ken
3 Mach, Thomas
3 Marcellán Español, Francisco
3 Matar, Mona
3 Neuman, Arthur
3 Pasha, Mirjeta
3 Plemmons, Robert James
3 Sorensen, Danny C.
3 Tang, Tunan
3 Tomanović, Jelena D.
3 Zhang, Qin
2 Bai, Xianglan
2 Bai, Zhaojun
2 Beckermann, Bernhard
2 Beik, Fatemeh Panjeh Ali
2 Bellalij, Mohammed
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 Milovanović, Gradimir V.
2 Morikuni, Keiichi
2 Najafi-Kalyani, Mehdi
2 Nath Datta, Biswa
2 Pasquini, Lionello
2 Ruttan, Arden
2 Shiyanovskii, Sergij V.
2 Spaletta, Giulia
2 Trefethen, Lloyd Nicholas
2 Vandebril, Raf
2 Yin, Junfeng
2 Zama, Fabiana
2 Zhang, Weihong
1 Abad, J. O.
1 Alkilayh, Maged
1 Alqahtani, Abdulaziz
1 Barnard, Roger W.
1 Bini, Dario Andrea
1 Brezinski, Claude
1 Concas, Anna
1 Dahlquist, Germund
1 de la Calle Ysern, Bernardo
1 Fuhry, Martin
1 Gallopoulos, Efstratios
1 Gerth, Daniel
1 Hansen, Per Christian
1 Khan, Mohammad Kazim
1 Korevaar, Jacob
1 Lampe, Jörg
...and 31 more Co-Authors

Publications by Year

Citations contained in zbMATH Open

268 Publications have been cited 3,139 times in 1,498 Documents Cited by Year
Application of ADI iterative methods to the restoration of noisy images. Zbl 0849.65101
Calvetti, D.; Reichel, L.
95
1996
Krylov-subspace methods for the Sylvester equation. Zbl 0777.65028
Hu, D. Y.; Reichel, L.
89
1992
Error estimates and evaluation of matrix functions via the Faber transform. Zbl 1204.65041
Beckermann, Bernhard; Reichel, Lothar
77
2009
Old and new parameter choice rules for discrete ill-posed problems. Zbl 1267.65045
Reichel, Lothar; Rodriguez, Giuseppe
72
2013
Tikhonov regularization and the L-curve for large discrete ill-posed problems. Zbl 0977.65030
Calvetti, D.; Morigi, S.; Reichel, L.; Sgallari, F.
70
2000
Eigenvalues and pseudo-eigenvalues of Toeplitz matrices. Zbl 0748.15010
Reichel, Lothar; Trefethen, Lloyd N.
61
1992
Tikhonov regularization of large linear problems. Zbl 1038.65048
Calvetti, Daniela; Reichel, Lothar
53
2003
Augmented implicitly restarted Lanczos bidiagonalization methods. Zbl 1087.65039
Baglama, James; Reichel, Lothar
51
2005
Estimation of the \(L\)-curve via Lanczos bidiagonalization. Zbl 0945.65044
Calvetti, D.; Golub, G. H.; Reichel, L.
47
1999
A hybrid GMRES algorithm for nonsymmetric linear systems. Zbl 0757.65035
Nachtigal, Noël M.; Reichel, Lothar; Trefethen, Lloyd N.
47
1992
Newton interpolation at Leja points. Zbl 0702.65012
Reichel, Lothar
47
1990
An implicit restarted Lanczos method for large symmetric eigenvalue problems. Zbl 0809.65030
Calvetti, D.; Reichel, L.; Sorensen, Danny C.
44
1994
Computation of Gauss-Kronrod quadrature rules. Zbl 0947.65022
Calvetti, D.; Golub, G. H.; Gragg, W. B.; Reichel, L.
40
2000
Fractional Tikhonov regularization for linear discrete ill-posed problems. Zbl 1215.65075
Hochstenbach, Michiel E.; Reichel, Lothar
37
2011
Tridiagonal Toeplitz matrices: properties and novel applications. Zbl 1289.65082
Noschese, Silvia; Pasquini, Lionello; Reichel, Lothar
37
2013
On the regularizing properties of the GMRES method. Zbl 1022.65044
Calvetti, D.; Lewis, B.; Reichel, L.
37
2002
Adaptively preconditioned GMRES algorithms. Zbl 0954.65026
Baglama, J.; Calvetti, D.; Golub, G. H.; Reichel, L.
35
1999
A divide and conquer method for unitary and orthogonal eigenproblems. Zbl 0708.65039
Gragg, W. B.; Reichel, L.
33
1990
Fast Leja points. Zbl 0912.65004
Baglama, J.; Calvetti, D.; Reichel, L.
32
1998
Simple square smoothing regularization operators. Zbl 1171.65033
Reichel, Lothar; Ye, Qiang
31
2009
IRBL: An implicitly restarted Block-Lanczos method for large-scale Hermitian eigenproblems. Zbl 1044.65027
Baglama, J.; Calvetti, D.; Reichel, L.
30
2003
Breakdown-free GMRES for singular systems. Zbl 1086.65030
Reichel, Lothar; Ye, Qiang
30
2005
Implementations of range restricted iterative methods for linear discrete ill-posed problems. Zbl 1241.65045
Neuman, A.; Reichel, L.; Sadok, H.
29
2012
GMRES-type methods for inconsistent systems. Zbl 0963.65042
Calvetti, D.; Lewis, B.; Reichel, L.
28
2000
Block Gauss and anti-Gauss quadrature with application to networks. Zbl 1425.65063
Fenu, C.; Martin, D.; Reichel, L.; Rodriguez, G.
28
2013
\(L\)-curve curvature bounds via Lanczos bidiagonalization. Zbl 1029.65041
Calvetti, D.; Hansen, P. C.; Reichel, L.
27
2002
Constructing a unitary Hessenberg matrix from spectral data. Zbl 0736.65027
Ammar, Gregory; Gragg, William; Reichel, Lothar
27
1991
Tikhonov regularization based on generalized Krylov subspace methods. Zbl 1246.65068
Reichel, Lothar; Sgallari, Fiorella; Ye, Qiang
26
2012
Arnoldi-Tikhonov regularization methods. Zbl 1166.65016
Lewis, Bryan; Reichel, Lothar
26
2009
Discrete least squares approximation by trigonometric polynomials. Zbl 0733.65102
Reichel, L.; Ammar, G. S.; Gragg, W. B.
26
1991
On the choice of subspace for iterative methods for linear discrete ill-posed problems. Zbl 0994.65043
Calvetti, Daniela; Lewis, Bryan; Reichel, Lothar
26
2001
Downdating of Szegö polynomials and data-fitting applications. Zbl 0755.65027
Ammar, G. S.; Gragg, W. B.; Reichel, L.
24
1992
The extended Krylov subspace method and orthogonal Laurent polynomials. Zbl 1166.65019
Jagels, Carl; Reichel, Lothar
23
2009
Recursion relations for the extended Krylov subspace method. Zbl 1211.65039
Jagels, Carl; Reichel, Lothar
23
2011
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
23
2017
An iterative method for Tikhonov regularization with a general linear regularization operator. Zbl 1210.65092
Hochstenbach, Michiel E.; Reichel, Lothar
22
2010
A generalized Krylov subspace method for \(\ell_p\)-\(\ell_q\) minimization. Zbl 1343.65077
Lanza, A.; Morigi, S.; Reichel, L.; Sgallari, F.
22
2015
Restarted block Lanczos bidiagonalization methods. Zbl 1110.65027
Baglama, James; Reichel, Lothar
22
2006
GMRES, L-curves, and discrete ill-posed problems. Zbl 1003.65040
Calvetti, D.; Lewis, B.; Reichel, L.
22
2002
Large-scale Tikhonov regularization via reduction by orthogonal projection. Zbl 1241.65044
Lampe, Jörg; Reichel, Lothar; Voss, Heinrich
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
On fractional Tikhonov regularization. Zbl 1327.65075
Gerth, Daniel; Klann, Esther; Ramlau, Ronny; Reichel, Lothar
21
2015
Chebyshev-Vandermonde systems. Zbl 0755.65032
Reichel, Lothar; Opfer, Gerhard
19
1991
Orthogonal projection regularization operators. Zbl 1124.65043
Morigi, S.; Reichel, L.; Sgallari, F.
19
2007
Network analysis via partial spectral factorization and Gauss quadrature. Zbl 1362.65052
Fenu, C.; Martin, D.; Reichel, L.; Rodriguez, G.
19
2013
A generalized ADI iterative method. Zbl 0797.65030
Levenberg, N.; Reichel, L.
18
1993
Iterative methods for \(X-AXB=C\). Zbl 0890.65040
Calvetti, D.; Levenberg, N.; Reichel, L.
18
1997
Invertible smoothing preconditioners for linear discrete ill-posed problems. Zbl 1072.65057
Calvetti, D.; Reichel, L.; Shuibi, A.
18
2005
An implicitly restarted block Lanczos bidiagonalization method using Leja shifts. Zbl 1269.65038
Baglama, James; Reichel, Lothar
18
2013
Nonnegativity and iterative methods for ill-posed problems. Zbl 1077.65041
Calvetti, D.; Landi, G.; Reichel, L.; Sgallari, F.
17
2004
Tikhonov regularization with a solution constraint. Zbl 1081.65033
Calvetti, Daniela; Reichel, Lothar
17
2004
GCV for Tikhonov regularization via global Golub-Kahan decomposition. Zbl 1374.65064
Fenu, Caterina; Reichel, Lothar; Rodriguez, Giuseppe
17
2016
Szegő-Lobatto quadrature rules. Zbl 1109.65027
Jagels, Carl; Reichel, Lothar
17
2007
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.
17
2017
Regularization parameter determination for discrete ill-posed problems. Zbl 1295.65046
Hochstenbach, M. E.; Reichel, L.; Rodriguez, G.
17
2015
A new Tikhonov regularization method. Zbl 1236.65038
Fuhry, Martin; Reichel, Lothar
17
2012
Fast inversion of Vandermonde-like matrices involving orthogonal polynomials. Zbl 0809.65013
Calvetti, D.; Reichel, L.
16
1993
GCV for Tikhonov regularization by partial SVD. Zbl 1386.65118
Fenu, Caterina; Reichel, Lothar; Rodriguez, Giuseppe; Sadok, Hassane
16
2017
The application of Leja points to Richardson iteration and polynomial preconditioning. Zbl 0731.65017
Reichel, Lothar
16
1991
A Newton basis GMRES implementation. Zbl 0818.65022
Bai, Zhaojun; Hu, Dan; Reichel, Lothar
15
1994
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
Fast \(QR\) decomposition of Vandermonde-like matrices and polynomial least squares approximation. Zbl 0739.65024
Reichel, Lothar
15
1991
Error estimates for large-scale ill-posed problems. Zbl 1166.65332
Reichel, L.; Rodriguez, G.; Seatzu, S.
15
2009
A truncated projected SVD method for linear discrete ill-posed problems. Zbl 1114.65039
Morigi, Serena; Reichel, Lothar; Sgallari, Fiorella
15
2006
A new \(L\)-curve for ill-posed problems. Zbl 1145.65035
Reichel, Lothar; Sadok, Hassane
15
2008
Simplified GSVD computations for the solution of linear discrete ill-posed problems. Zbl 1291.65117
Dykes, L.; Reichel, L.
15
2014
Newton interpolation in Fejér and Chebyshev points. Zbl 0673.65004
Fischer, Bernd; Reichel, Lothar
15
1989
Algorithms for range restricted iterative methods for linear discrete ill-posed problems. Zbl 1236.65040
Neuman, Arthur; Reichel, Lothar; Sadok, Hassane
15
2012
Square regularization matrices for large linear discrete ill-posed problems. Zbl 1289.65096
Donatelli, Marco; Neuman, Arthur; Reichel, Lothar
15
2012
An adaptive Chebyshev iterative method for nonsymmetric linear systems based on modified moments. Zbl 0796.65033
Calvetti, D.; Golub, G. H.; Reichel, L.
14
1994
A new zero-finder for Tikhonov regularization. Zbl 1161.65029
Reichel, Lothar; Shyshkov, Andriy
14
2008
Tikhonov regularization with nonnegativity constraint. Zbl 1069.65047
Calvetti, D.; Lewis, B.; Reichel, L.; Sgallari, F.
14
2004
Arnoldi methods for image deblurring with anti-reflective boundary conditions. Zbl 1338.94006
Donatelli, Marco; Martin, David; Reichel, Lothar
14
2015
Augmented GMRES-type methods. Zbl 1199.65096
Baglama, James; Reichel, Lothar
14
2007
Iterated Tikhonov regularization with a general penalty term. Zbl 1424.65045
Buccini, Alessandro; Donatelli, Marco; Reichel, Lothar
14
2017
Iterative methods for ill-posed problems and semiconvergent sequences. Zbl 1092.65025
Morigi, S.; Reichel, L.; Sgallari, F.; Zama, F.
14
2006
Lanczos-based exponential filtering for discrete ill-posed problems. Zbl 0997.65068
Calvetti, D.; Reichel, L.
13
2002
Discrete ill-posed least-squares problems with a solution norm constraint. Zbl 1237.65039
Hochstenbach, M. E.; McNinch, N.; Reichel, L.
13
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
12
2020
Matrices, moments, and rational quadrature. Zbl 1191.65010
López Lagomasino, G.; Reichel, L.; Wunderlich, L.
12
2008
A stable Richardson iteration method for complex linear systems. Zbl 0641.65030
Fischer, Bernd; Reichel, Lothar
12
1988
The structured distance to normality of an irreducible real tridiagonal matrix. Zbl 1171.65037
Noschese, S.; Pasquini, L.; Reichel, L.
12
2007
Bounding matrix functionals via partial global block Lanczos decomposition. Zbl 1325.65060
Bellalij, M.; Reichel, L.; Rodriguez, G.; Sadok, H.
12
2015
Fast solution methods for Fredholm integral equations of the second kind. Zbl 0706.65143
Reichel, Lothar
12
1990
Decomposition methods for large linear discrete ill-posed problems. Zbl 1106.65035
Baglama, James; Reichel, Lothar
12
2007
An \(\ell ^2-\ell ^q\) regularization method for large discrete ill-posed problems. Zbl 07074397
Buccini, Alessandro; Reichel, Lothar
12
2019
Symmetric Gauss-Lobatto and modified anti-Gauss rules. Zbl 1056.41017
Calvetti, Daniela; Reichel, Lothar
11
2003
L-curve and curvature bounds for Tikhonov regularization. Zbl 1049.65029
Calvetti, D.; Reichel, L.; Shuibi, A.
11
2004
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
Generalized averaged Gauss quadrature rules for the approximation of matrix functionals. Zbl 1352.65089
Reichel, Lothar; Spalević, Miodrag M.; Tang, Tunan
11
2016
A modified truncated singular value decomposition method for discrete ill-posed problems. Zbl 1340.65070
Noschese, Silvia; Reichel, Lothar
11
2014
An iterative method for linear discrete ill-posed problems with box constraints. Zbl 1101.65045
Morigi, S.; Reichel, L.; Sgallari, F.; Zama, F.
11
2007
The structured distance to normality of Toeplitz matrices with application to preconditioning. Zbl 1245.65036
Noschese, Silvia; Reichel, Lothar
11
2011
Parameter determination for Tikhonov regularization problems in general form. Zbl 1391.65100
Park, Y.; Reichel, L.; Rodriguez, G.; Yu, X.
10
2018
Analysis of directed networks via the matrix exponential. Zbl 1417.90041
De la Cruz Cabrera, Omar; Matar, Mona; Reichel, Lothar
10
2019
The structured distance to normality of banded Toeplitz matrices. Zbl 1178.15016
Noschese, Silvia; Reichel, Lothar
10
2009
A fast minimal residual algorithm for shifted unitary matrices. Zbl 0839.65039
Jagels, Carl F.; Reichel, Lothar
10
1994
Iterative methods for the computation of a few eigenvalues of a large symmetric matrix. Zbl 0856.65030
Baglama, J.; Calvetti, D.; Reichel, L.
10
1996
Algorithm 686: FORTRAN subroutines for updating the QR decomposition. Zbl 0900.65063
Reichel, L.; Gragg, W. B.
10
1990
Continuation methods for the computation of zeros of Szegő polynomials. Zbl 0890.65043
Ammar, G. S.; Calvetti, D.; Reichel, L.
10
1996
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.
1
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.
1
2022
The extended global Lanczos method, Gauss-Radau quadrature, and matrix function approximation. Zbl 1485.65053
Jagels, Carl; Jbilou, Khalide; Reichel, Lothar
4
2021
Linearized Krylov subspace Bregman iteration with nonnegativity constraint. Zbl 1470.65049
Buccini, Alessandro; Pasha, Mirjeta; 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
Generalized cross validation for \(\ell^p\)-\(\ell^q\) minimization. Zbl 1482.65063
Buccini, Alessandro; 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
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 representation of generalized averaged Gauss quadrature rules. Zbl 1465.65023
Reichel, Lothar; Spalević, Miodrag M.
1
2021
Tensor Krylov subspace methods with an invertible linear transform product applied to image processing. Zbl 1465.65035
Reichel, Lothar; Ugwu, Ugochukwu O.
1
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
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
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
12
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
10
2020
An \(\ell^p\)-\(\ell^q\) minimization method with cross-validation for the restoration of impulse noise contaminated images. Zbl 07183980
Buccini, Alessandro; Reichel, Lothar
6
2020
Modulus-based iterative methods for constrained \(\ell_p\)-\(\ell_q\) minimization. Zbl 1451.65072
Buccini, A.; Pasha, M.; Reichel, L.
5
2020
Generalized singular value decomposition with iterated Tikhonov regularization. Zbl 07193275
Buccini, Alessandro; Pasha, Mirjeta; Reichel, Lothar
3
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
3
2020
Edge importance in a network via line graphs and the matrix exponential. Zbl 07160104
De la Cruz Cabrera, Omar; Matar, Mona; Reichel, Lothar
2
2020
Comparison of a-posteriori parameter choice rules for linear discrete ill-posed problems. Zbl 1441.65045
Buccini, Alessandro; Park, Yonggi; Reichel, Lothar
2
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
An \(\ell ^2-\ell ^q\) regularization method for large discrete ill-posed problems. Zbl 07074397
Buccini, Alessandro; Reichel, Lothar
12
2019
Analysis of directed networks via the matrix exponential. Zbl 1417.90041
De la Cruz Cabrera, Omar; Matar, Mona; Reichel, Lothar
10
2019
Arnoldi decomposition, GMRES, and preconditioning for linear discrete ill-posed problems. Zbl 1417.65119
Gazzola, Silvia; Noschese, Silvia; Novati, Paolo; Reichel, Lothar
7
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
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.
5
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.
4
2019
Eigenvector sensitivity under general and structured perturbations of tridiagonal Toeplitz-type matrices. Zbl 1449.15071
Noschese, Silvia; Reichel, Lothar
4
2019
Generalized block anti-Gauss quadrature rules. Zbl 07127287
Alqahtani, Hessah; Reichel, Lothar
4
2019
Error estimates for Arnoldi-Tikhonov regularization for ill-posed operator equations. Zbl 1416.65162
Ramlau, Ronny; Reichel, Lothar
3
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.
10
2018
Simplified anti-Gauss quadrature rules with applications in linear algebra. Zbl 1390.41036
Alqahtani, Hessah; Reichel, Lothar
7
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.
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
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
2
2018
Regularization matrices for discrete ill-posed problems in several space dimensions. Zbl 06945802
Dykes, Laura; Huang, Guangxin; Noschese, Silvia; Reichel, Lothar
2
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.
1
2018
Multiple orthogonal polynomials applied to matrix function evaluation. Zbl 06989580
Alqahtani, Hessah; Reichel, Lothar
1
2018
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
23
2017
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.
17
2017
GCV for Tikhonov regularization by partial SVD. Zbl 1386.65118
Fenu, Caterina; Reichel, Lothar; Rodriguez, Giuseppe; Sadok, Hassane
16
2017
Iterated Tikhonov regularization with a general penalty term. Zbl 1424.65045
Buccini, Alessandro; Donatelli, Marco; Reichel, Lothar
14
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.
8
2017
Fractional Tikhonov regularization with a nonlinear penalty term. Zbl 1368.65065
Morigi, Serena; Reichel, Lothar; Sgallari, Fiorella
7
2017
Generalized averaged Szegő quadrature rules. Zbl 1382.65070
Jagels, Carl; Reichel, Lothar; Tang, Tunan
6
2017
On the computation of a truncated SVD of a large linear discrete ill-posed problem. Zbl 1368.65063
Onunwor, Enyinda; Reichel, Lothar
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
17
2016
Generalized averaged Gauss quadrature rules for the approximation of matrix functionals. Zbl 1352.65089
Reichel, Lothar; Spalević, Miodrag M.; Tang, Tunan
11
2016
New block quadrature rules for the approximation of matrix functions. Zbl 1338.65122
Reichel, Lothar; Rodriguez, Giuseppe; Tang, Tunan
9
2016
Truncated generalized averaged Gauss quadrature rules. Zbl 1346.65009
Djukić, Dušan Lj.; Reichel, Lothar; Spalević, Miodrag M.
8
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.
7
2016
Projected nonstationary iterated Tikhonov regularization. Zbl 1341.65017
Huang, Guangxin; Reichel, Lothar; Yin, Feng
7
2016
A global Lanczos method for image restoration. Zbl 1382.94009
Bentbib, A. H.; El Guide, M.; Jbilou, K.; Reichel, L.
7
2016
Adaptive cross approximation for ill-posed problems. Zbl 1416.65565
Mach, T.; Reichel, L.; Van Barel, M.; Vandebril, R.
5
2016
Regularization matrices determined by matrix nearness problems. Zbl 1338.65296
Huang, Guangxin; Noschese, 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
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
4
2016
Some matrix nearness problems suggested by Tikhonov regularization. Zbl 1338.65109
Noschese, Silvia; Reichel, Lothar
4
2016
A new framework for multi-parameter regularization. Zbl 1353.65032
Gazzola, Silvia; Reichel, Lothar
3
2016
Convergence rates for inverse-free rational approximation of matrix functions. Zbl 1352.65135
Jagels, Carl; Mach, Thomas; Reichel, Lothar; Vandebril, Raf
2
2016
On the choice of solution subspace for nonstationary iterated Tikhonov regularization. Zbl 1350.65034
Huang, Guangxin; Reichel, Lothar; Yin, Feng
2
2016
A generalized Krylov subspace method for \(\ell_p\)-\(\ell_q\) minimization. Zbl 1343.65077
Lanza, A.; Morigi, S.; Reichel, L.; Sgallari, F.
22
2015
On fractional Tikhonov regularization. Zbl 1327.65075
Gerth, Daniel; Klann, Esther; Ramlau, Ronny; Reichel, Lothar
21
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.
12
2015
Rescaling the GSVD with application to ill-posed problems. Zbl 1314.65058
Dykes, L.; Noschese, S.; Reichel, L.
10
2015
A Golub-Kahan-type reduction method for matrix pairs. Zbl 1329.65082
Hochstenbach, Michiel E.; Reichel, Lothar; Yu, Xuebo
9
2015
Fractional regularization matrices for linear discrete ill-posed problems. Zbl 1360.65113
Hochstenbach, Michiel E.; Noschese, Silvia; Reichel, Lothar
8
2015
Tikhonov regularization via flexible Arnoldi reduction. Zbl 1332.65058
Reichel, Lothar; Yu, Xuebo
7
2015
Matrix decompositions for Tikhonov regularization. Zbl 1327.65076
Reichel, Lothar; Yu, Xuebo
6
2015
Generalized anti-Gauss quadrature rules. Zbl 1314.65038
Pranić, Miroslav S.; Reichel, Lothar
4
2015
Image denoising via residual kurtosis minimization. Zbl 1349.94018
Hearn, Tristan A.; Reichel, Lothar
3
2015
Some properties of range restricted GMRES methods. Zbl 1321.65046
Bellalij, M.; Reichel, L.; Sadok, H.
3
2015
Vector extrapolation applied to truncated singular value decomposition and truncated iteration. Zbl 1360.65109
Bouhamidi, A.; Jbilou, K.; Reichel, L.; Sadok, H.; Wang, Z.
3
2015
On the computation of Gauss quadrature rules for measures with a monomial denominator. Zbl 1315.65024
Jagels, Carl; Reichel, Lothar
2
2015
A CS decomposition for orthogonal matrices with application to eigenvalue computation. Zbl 1316.65044
Calvetti, D.; Reichel, L.; Xu, H.
1
2015
Lavrentiev-type regularization methods for Hermitian problems. Zbl 1323.65037
Noschese, Silvia; Reichel, Lothar
1
2015
Simplified GSVD computations for the solution of linear discrete ill-posed problems. Zbl 1291.65117
Dykes, L.; Reichel, L.
15
2014
A modified truncated singular value decomposition method for discrete ill-posed problems. Zbl 1340.65070
Noschese, Silvia; Reichel, Lothar
11
2014
Square smoothing regularization matrices with accurate boundary conditions. Zbl 1294.65099
Donatelli, M.; Reichel, L.
9
2014
Analysis of directed networks via partial singular value decomposition and Gauss quadrature. Zbl 1295.05216
Baglama, J.; Fenu, C.; Reichel, L.; Rodriguez, G.
8
2014
FGMRES for linear discrete ill-posed problems. Zbl 1302.65081
Morikuni, Keiichi; Reichel, Lothar; Hayami, Ken
6
2014
Application of denoising methods to regularizationof ill-posed problems. Zbl 1297.65043
Hearn, Tristan A.; Reichel, Lothar
5
2014
Rational Gauss quadrature. Zbl 1296.65046
Pranić, Miroslav S.; Reichel, Lothar
4
2014
The structure of iterative methods for symmetric linear discrete ill-posed problems. Zbl 1290.65034
Dykes, L.; Marcellán, F.; Reichel, L.
3
2014
Inverse subspace problems with applications. Zbl 1340.65069
Noschese, Silvia; Reichel, Lothar
2
2014
A note on superoptimal generalized circulant preconditioners. Zbl 1302.65072
Noschese, Silvia; Reichel, Lothar
2
2014
Old and new parameter choice rules for discrete ill-posed problems. Zbl 1267.65045
Reichel, Lothar; Rodriguez, Giuseppe
72
2013
Tridiagonal Toeplitz matrices: properties and novel applications. Zbl 1289.65082
Noschese, Silvia; Pasquini, Lionello; Reichel, Lothar
37
2013
Block Gauss and anti-Gauss quadrature with application to networks. Zbl 1425.65063
Fenu, C.; Martin, D.; Reichel, L.; Rodriguez, G.
28
2013
Network analysis via partial spectral factorization and Gauss quadrature. Zbl 1362.65052
Fenu, C.; Martin, D.; Reichel, L.; Rodriguez, G.
19
2013
An implicitly restarted block Lanczos bidiagonalization method using Leja shifts. Zbl 1269.65038
Baglama, James; Reichel, Lothar
18
2013
The structure of matrices in rational Gauss quadrature. Zbl 1345.65015
Jagels, Carl; Reichel, Lothar
8
2013
An augmented LSQR method. Zbl 1273.65059
Baglama, J.; Reichel, L.; Richmond, D.
6
2013
...and 168 more Documents
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Cited by 1,839 Authors

202 Reichel, Lothar
34 Jbilou, Khalide
28 Calvetti, Daniela
26 Sgallari, Fiorella
23 Morigi, Serena
21 Buccini, Alessandro
20 Noschese, Silvia
20 Rodriguez, Giuseppe
20 Simoncini, Valeria
19 Spalević, Miodrag M.
16 Benner, Peter
16 Bentbib, Abdeslem Hafid
16 Sadok, Hassane
15 Hochstenbach, Michiel E.
15 Van Barel, Marc
14 Dehghan Takht Fooladi, Mehdi
14 Gazzola, Silvia
14 Novati, Paolo
14 Toutounian, Faezeh
13 Donatelli, Marco
13 Xiong, Xiangtuan
11 Bouhamidi, Abderrahman
11 Bultheel, Adhemar François
11 Caliari, Marco
11 Jagels, Carl F.
11 Vandebril, Raf
10 Baglama, James
10 Benzi, Michele
10 Böttcher, Albrecht
10 Cruz-Barroso, Ruymán
10 Hajarian, Masoud
10 Huang, Ting-Zhu
10 Lanza, Alessandro
10 Olshevsky, Vadim
10 Wei, Yimin
9 Beckermann, Bernhard
9 Chung, Julianne M.
9 Huang, Guang-Xin
9 Shirilord, Akbar
9 Strakoš, Zdeněk
9 Trefethen, Lloyd Nicholas
8 De la Cruz Cabrera, Omar
8 El-Guide, Mohamed
8 Embree, Mark
8 Faßbender, Heike
8 Hansen, Per Christian
8 Jia, Zhongxiao
8 Ma, Changfeng
8 Mitrouli, Marilena
8 Pranic, Miroslav S.
8 Saad, Yousef
8 Schweitzer, Marcel
8 Viloche Bazán, Fermín S.
7 Bebiano, Natália Isabel Quadros
7 Fenu, Caterina
7 Gallopoulos, Efstratios
7 Hayami, Ken
7 Morgan, Ronald B.
7 Nagy, James Gerard
7 Tambue, Antoine
7 Wang, Xiang
7 Wu, Gang
7 Yin, Feng
6 De Marchi, Stefano
6 Díaz de Alba, Patricia
6 Druskin, Vladimir
6 Duintjer Tebbens, Jurjen
6 Dykes, Laura
6 Fika, Paraskevi
6 Frommer, Andreas
6 Gemignani, Luca
6 Güttel, Stefan
6 Kressner, Daniel
6 Landi, Germana
6 Lu, Linzhang
6 Melman, Aaron
6 Nasser, Mohamed M. S.
6 Ostermann, Alexander
6 Wang, Qingwen
6 Xue, Xuemin
5 Ammar, Gregory S.
5 Bai, Zhongzhi
5 Bella, Tom
5 Borges, Leonardo Silveira
5 Carson, Erin Claire
5 El Ghomari, M.
5 Furtado, Susana
5 He, ZhuoHeng
5 Heyouni, Mohammed
5 Karimi, Saeed
5 Knizhnerman, Leonid
5 Kürschner, Patrick
5 Loli Piccolomini, Elena
5 Murid, Ali Hassan Mohamed
5 Niu, Qiang
5 Nodera, Takashi
5 O’Leary, Dianne P.
5 Palitta, Davide
5 Pozza, Stefano
5 Ramlau, Ronny
...and 1,739 more Authors
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Cited in 225 Serials

195 Journal of Computational and Applied Mathematics
141 Linear Algebra and its Applications
95 Numerical Algorithms
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69 BIT
68 Applied Mathematics and Computation
46 SIAM Journal on Scientific Computing
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39 Numerische Mathematik
37 Computers & Mathematics with Applications
35 SIAM Journal on Matrix Analysis and Applications
32 Mathematics of Computation
31 Journal of Scientific Computing
24 ETNA. Electronic Transactions on Numerical Analysis
21 Journal of Computational Physics
17 Inverse Problems
17 Computational and Applied Mathematics
16 Advances in Computational Mathematics
15 Inverse Problems in Science and Engineering
12 Computer Methods in Applied Mechanics and Engineering
11 Calcolo
10 Japan Journal of Industrial and Applied Mathematics
9 Journal of Approximation Theory
9 International Journal of Computer Mathematics
9 Mathematical Problems in Engineering
8 Numerical Functional Analysis and Optimization
8 Engineering Analysis with Boundary Elements
7 Journal of Integral Equations and Applications
7 Filomat
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6 Journal of Mathematical Analysis and Applications
6 Automatica
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6 Applied Mathematics Letters
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6 Advances in Difference Equations
5 Linear and Multilinear Algebra
5 Computational Mechanics
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5 Computational Methods and Function Theory
5 Journal of Applied Mathematics and Computing
5 Asian Journal of Control
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4 Constructive Approximation
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4 ELA. The Electronic Journal of Linear Algebra
4 Journal of Applied Mathematics
4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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4 SIAM Journal on Imaging Sciences
4 Science China. Mathematics
3 Journal of the Franklin Institute
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2 Pattern Recognition
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2 The Journal of Fourier Analysis and Applications
2 Parallel Algorithms and Applications
2 Journal of Inequalities and Applications
2 Discrete Dynamics in Nature and Society
2 Computational Geosciences
2 The ANZIAM Journal
2 Foundations of Computational Mathematics
2 Acta Mathematica Scientia. Series B. (English Edition)
2 Journal of Machine Learning Research (JMLR)
2 International Journal of Computational Methods
2 Acta Numerica
2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
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2 The Journal of Prime Research in Mathematics
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