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ORCIDLothar Reichel
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- affiliation: Kent State University, Kent, OH, USA
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2020 – today
- 2024
[j173]Luisa Fermo
, Lothar Reichel, Giuseppe Rodriguez, Miodrag M. Spalevic:
Averaged Nyström interpolants for the solution of Fredholm integral equations of the second kind. Appl. Math. Comput. 467: 128482 (2024)- [j172]Lothar Reichel, Miodrag M. Spalevic:
Radau- and Lobatto-type averaged Gauss rules. J. Comput. Appl. Math. 437: 115475 (2024) - [j171]Dusan Lj. Djukic, Rada M. Mutavdzic Djukic, Lothar Reichel, Miodrag M. Spalevic:
Decompositions of optimal averaged Gauss quadrature rules. J. Comput. Appl. Math. 438: 115586 (2024) - [j170]Hanan Almutairi, Miroslav S. Pranic, Lothar Reichel:
Error estimates for quadrature rules based on the Arnoldi process. J. Comput. Appl. Math. 442: 115726 (2024) - [j169]Luisa Fermo, Gradimir V. Milovanovic, Lothar Reichel, Miodrag M. Spalevic:
Special issue on advances in quadrature, cubature, and the solution of integral equations with applications. J. Comput. Appl. Math. 445: 115813 (2024) - [j168]Silvia Noschese, Lothar Reichel:
Network analysis with the aid of the path length matrix. Numer. Algorithms 95(1): 451-470 (2024) - [j167]Silvia Noschese, Lothar Reichel:
Enhancing multiplex global efficiency. Numer. Algorithms 96(1): 397-416 (2024) - [j166]Anas El Hachimi, Khalide Jbilou, Ahmed Ratnani, Lothar Reichel:
A tensor bidiagonalization method for higher-order singular value decomposition with applications. Numer. Linear Algebra Appl. 31(2) (2024) - [i20]Silvia Noschese, Lothar Reichel:
Edge Importance in Complex Networks. CoRR abs/2404.16862 (2024) - [i19]Silvia Noschese, Lothar Reichel:
Communication in Multiplex Transportation Networks. CoRR abs/2409.05575 (2024) - 2023
- [j165]Alessandro Buccini, Lothar Reichel:
Limited memory restarted ℓp-ℓq minimization methods using generalized Krylov subspaces. Adv. Comput. Math. 49(2): 26 (2023) - [j164]Jihan Alahmadi, Miroslav S. Pranic, Lothar Reichel:
Pole Allocation for Rational Gauss Quadrature Rules for Matrix Functionals Defined by a Stieltjes Function. Axioms 12(2): 105 (2023) - [j163]Alessandro Buccini, Omar De la Cruz Cabrera, Christos Koukouvinos, Marilena Mitrouli, Lothar Reichel:
Variable selection in saturated and supersaturated designs via lp-lq minimization. Commun. Stat. Simul. Comput. 52(9): 4326-4347 (2023) - [j162]Alessandro Buccini, Marco Donatelli, Lothar Reichel:
Theoretical and numerical aspects of a non-stationary preconditioned iterative method for linear discrete ill-posed problems. J. Comput. Appl. Math. 423: 114940 (2023) - [j161]Ken Hayami, Keiichi Morikuni, Lothar Reichel, Ning Zheng:
Recent advances in the numerical solution of matrix problems. J. Comput. Appl. Math. 430: 115239 (2023) - [j160]Lucas Onisk, Lothar Reichel, Hassane Sadok:
Numerical considerations of block GMRES methods when applied to linear discrete ill-posed problems. J. Comput. Appl. Math. 430: 115262 (2023) - [j159]Alessandro Buccini, Patricia Diaz de Alba, Federica Pes, Lothar Reichel:
An Efficient Implementation of the Gauss-Newton Method Via Generalized Krylov Subspaces. J. Sci. Comput. 97(2): 44 (2023) - [j158]Abdeslem Hafid Bentbib, M. El Ghomari, Khalide Jbilou, Lothar Reichel:
The global Golub-Kahan method and Gauss quadrature for tensor function approximation. Numer. Algorithms 92(1): 5-34 (2023) - [j157]Alessandro Buccini, Lucas Onisk, Lothar Reichel:
An Arnoldi-based preconditioner for iterated Tikhonov regularization. Numer. Algorithms 92(1): 223-245 (2023) - [j156]Dusan Lj. Djukic, Rada M. Mutavdzic Djukic, Lothar Reichel, Miodrag M. Spalevic:
Internality of generalized averaged Gauss quadrature rules and truncated variants for modified Chebyshev measures of the third and fourth kinds. Numer. Algorithms 92(1): 523-544 (2023) - [j155]Smahane El-Halouy, Silvia Noschese, Lothar Reichel:
Perron communicability and sensitivity of multilayer networks. Numer. Algorithms 92(1): 597-617 (2023) - [j154]Thomas Mach, Lothar Reichel, Marc Van Barel:
Adaptive cross approximation for Tikhonov regularization in general form. Numer. Algorithms 92(1): 815-830 (2023) - [j153]Abdulaziz Alqahtani, Thomas Mach, Lothar Reichel:
Solution of ill-posed problems with Chebfun. Numer. Algorithms 92(4): 2341-2364 (2023) - [i18]Anas El Hachimi, Khalide Jbilou, Ahmed Ratnani, Lothar Reichel:
A tensor bidiagonalization method for higher-order singular value decomposition with applications. CoRR abs/2301.02119 (2023) - [i17]Anas El Hachimi, Khalide Jbilou, Ahmed Ratnani, Lothar Reichel:
Spectral computation with third-order tensors using the t-product. CoRR abs/2304.04224 (2023) - [i16]Silvia Noschese, Lothar Reichel:
Network analysis with the aid of the path length matrix. CoRR abs/2305.07978 (2023) - [i15]Luisa Fermo, Lothar Reichel, Giuseppe Rodriguez, Miodrag M. Spalevic:
Averaged Nyström interpolants for the solution of Fredholm integral equations of the second kind. CoRR abs/2307.11601 (2023) - [i14]Silvia Noschese, Lothar Reichel:
Enhancing multiplex global efficiency. CoRR abs/2308.09598 (2023) - [i13]Davide Bianchi, Marco Donatelli, Davide Furchì, Lothar Reichel:
Convergence analysis and parameter estimation for the iterated Arnoldi-Tikhonov method. CoRR abs/2311.11823 (2023) - 2022
- [j152]Caterina Fenu, Lothar Reichel, Giuseppe Rodriguez:
SoftNet: A Package for the Analysis of Complex Networks. Algorithms 15(9): 296 (2022) - [j151]Anna Concas, Caterina Fenu, Lothar Reichel, Giuseppe Rodriguez, Yunzi Zhang:
Chained structure of directed graphs with applications to social and transportation networks. Appl. Netw. Sci. 7(1): 64 (2022) - [j150]Abdeslem Hafid Bentbib, M. El Ghomari, Khalide Jbilou, Lothar Reichel:
The extended symmetric block Lanczos method for matrix-valued Gauss-type quadrature rules. J. Comput. Appl. Math. 407: 114037 (2022) - [j149]Lothar Reichel, Miodrag M. Spalevic:
Averaged Gauss quadrature formulas: Properties and applications. J. Comput. Appl. Math. 410: 114232 (2022) - [j148]Lothar Reichel, Ugochukwu O. Ugwu:
Weighted tensor Golub-Kahan-Tikhonov-type methods applied to image processing using a t-product. J. Comput. Appl. Math. 415: 114488 (2022) - [j147]Lothar Reichel, Ugochukwu O. Ugwu:
Tensor Arnoldi-Tikhonov and GMRES-Type Methods for Ill-Posed Problems with a t-Product Structure. J. Sci. Comput. 90(1): 59 (2022) - [j146]Lothar Reichel, Ugochukwu O. Ugwu:
The tensor Golub-Kahan-Tikhonov method applied to the solution of ill-posed problems with a t-product structure. Numer. Linear Algebra Appl. 29(1) (2022) - [j145]Silvia Noschese, Lothar Reichel:
Estimating and increasing the structural robustness of a network. Numer. Linear Algebra Appl. 29(2) (2022) - [j144]Jihan Alahmadi, Miroslav S. Pranic, Lothar Reichel:
Rational gauss quadrature rules for the approximation of matrix functionals involving stieltjes functions. Numerische Mathematik 151(2): 443-473 (2022) - [i12]Thomas Mach, Lothar Reichel, Marc Van Barel:
Adaptive cross approximation for Tikhonov regularization in general form. CoRR abs/2204.05740 (2022) - [i11]Silvia Noschese, Lothar Reichel:
On the banded Toeplitz structured distance to symmetric positive semidefiniteness. CoRR abs/2204.05812 (2022) - [i10]Smahane El-Halouy, Silvia Noschese, Lothar Reichel:
Perron communicability and sensitivity of multilayer networks. CoRR abs/2205.02626 (2022) - [i9]Smahane El-Halouy, Silvia Noschese, Lothar Reichel:
A tensor formalism for multilayer network centrality measures using the Einstein product. CoRR abs/2210.09355 (2022) - 2021
- [j143]Nasim Eshghi, Lothar Reichel:
Estimating the error in matrix function approximations. Adv. Comput. Math. 47(4): 57 (2021) - [j142]Mohammed Al Mugahwi, Omar De la Cruz Cabrera, Caterina Fenu, Lothar Reichel, Giuseppe Rodriguez:
Block matrix models for dynamic networks. Appl. Math. Comput. 402: 126121 (2021) - [j141]Anna Concas, Lothar Reichel, Giuseppe Rodriguez, Yunzi Zhang:
Chained graphs and some applications. Appl. Netw. Sci. 6(1): 39 (2021) - [j140]Carl Jagels, Khalide Jbilou, Lothar Reichel:
The extended global Lanczos method, Gauss-Radau quadrature, and matrix function approximation. J. Comput. Appl. Math. 381: 113027 (2021) - [j139]Laura Dykes, Ronny Ramlau, Lothar Reichel, Kirk M. Soodhalter, Roland Wagner:
Lanczos-based fast blind deconvolution methods. J. Comput. Appl. Math. 382: 113067 (2021) - [j138]Nasim Eshghi, Thomas Mach, Lothar Reichel:
New matrix function approximations and quadrature rules based on the Arnoldi process. J. Comput. Appl. Math. 391: 113442 (2021) - [j137]Omar De la Cruz Cabrera, Jiafeng Jin, Lothar Reichel:
New models for multi-class networks. J. Comput. Appl. Math. 394: 113567 (2021) - [j136]Jihan Alahmadi, Miroslav S. Pranic, Lothar Reichel:
Computation of error bounds via generalized Gauss-Radau and Gauss-Lobatto rules. J. Comput. Appl. Math. 396: 113604 (2021) - [j135]Alessandro Buccini, Yonggi Park, Lothar Reichel:
Corrigendum to "Comparison of a-posteriori parameter choice rules for linear discrete ill-posed problems" [J. Comput. Appl. Math. 373 (2020) 112138]. J. Comput. Appl. Math. 397: 113571 (2021) - [j134]Dusan Lj. Djukic, Rada M. Mutavdzic Djukic, Lothar Reichel, Miodrag M. Spalevic:
Internality of generalized averaged Gauss quadrature rules and truncated variants for modified Chebyshev measures of the first kind. J. Comput. Appl. Math. 398: 113696 (2021) - [j133]Alessandro Buccini, Mirjeta Pasha, Lothar Reichel:
Linearized Krylov subspace Bregman iteration with nonnegativity constraint. Numer. Algorithms 87(3): 1177-1200 (2021) - [j132]Omar De la Cruz Cabrera, Mona Matar, Lothar Reichel:
Centrality measures for node-weighted networks via line graphs and the matrix exponential. Numer. Algorithms 88(2): 583-614 (2021) - [j131]Alessandro Buccini, Lothar Reichel:
Generalized cross validation for ℓp-ℓq minimization. Numer. Algorithms 88(4): 1595-1616 (2021) - [j130]Jihan Alahmadi, Hessah Alqahtani, Miroslav S. Pranic, Lothar Reichel:
Gauss-Laurent-type quadrature rules for the approximation of functionals of a nonsymmetric matrix. Numer. Algorithms 88(4): 1937-1964 (2021) - [j129]Alessandro Buccini, Marco Donatelli, Lothar Reichel, Wei-Hong Zhang:
A new nonstationary preconditioned iterative method for linear discrete ill-posed problems with application to image deblurring. Numer. Linear Algebra Appl. 28(2) (2021) - [j128]Abdulaziz Alqahtani, Silvia Gazzola, Lothar Reichel, Giuseppe Rodriguez:
On the block Lanczos and block Golub-Kahan reduction methods applied to discrete ill-posed problems. Numer. Linear Algebra Appl. 28(5) (2021) - [c8]Xianglan Bai, Alessandro Buccini, Lothar Reichel:
Solution of linear discrete ill-posed problems by discretized Chebyshev expansion. ICCSA (Workshops) 2021: 101-111 - [c7]Majed Alotaibi, Alessandro Buccini, Lothar Reichel:
Restoration of Blurred Images Corrupted by Impulse Noise via Median Filters and ℓp-ℓq Minimization. ICCSA (Workshops) 2021: 112-122 - [i8]Silvia Noschese, Lothar Reichel:
Estimating and increasing the structural robustness of a network. CoRR abs/2103.00247 (2021) - [i7]Omar De la Cruz Cabrera, Jiafeng Jin, Silvia Noschese, Lothar Reichel:
Communication in Complex Networks. CoRR abs/2106.12215 (2021) - [i6]Lothar Reichel, Ugochukwu O. Ugwu:
Weighted tensor Golub-Kahan-Tikhonov-type methods applied to image processing using a t-product. CoRR abs/2109.03912 (2021) - [i5]Ugochukwu O. Ugwu, Lothar Reichel:
Tensor regularization by truncated iteration: a comparison of some solution methods for large-scale linear discrete ill-posed problem with a t-product. CoRR abs/2110.02485 (2021) - [i4]Lothar Reichel, Ugochukwu O. Ugwu:
Tensor Arnoldi-Tikhonov and GMRES-type methods for ill-posed problems with a t-product structure. CoRR abs/2110.04796 (2021) - 2020
- [j127]Alessandro Buccini, Yonggi Park, Lothar Reichel:
Comparison of A-posteriori parameter choice rules for linear discrete ill-posed problems. J. Comput. Appl. Math. 373: 112138 (2020) - [j126]Alessandro Buccini, Mirjeta Pasha, Lothar Reichel:
Generalized singular value decomposition with iterated Tikhonov regularization. J. Comput. Appl. Math. 373: 112276 (2020) - [j125]Anna Concas, Silvia Noschese, Lothar Reichel, Giuseppe Rodriguez:
A spectral method for bipartizing a network and detecting a large anti-community. J. Comput. Appl. Math. 373: 112306 (2020) - [j124]Dario Bini, Khalide Jbilou, Marilena Mitrouli, Lothar Reichel:
Numerical Analysis and Scientific Computation (NASCA18). J. Comput. Appl. Math. 373: 112612 (2020) - [j123]Alessandro Buccini, Lothar Reichel:
An ℓp-ℓq minimization method with cross-validation for the restoration of impulse noise contaminated images. J. Comput. Appl. Math. 375: 112824 (2020) - [j122]Omar De la Cruz Cabrera, Mona Matar, Lothar Reichel:
Edge importance in a network via line graphs and the matrix exponential. Numer. Algorithms 83(2): 807-832 (2020) - [j121]Lothar Reichel, Hassane Sadok, Wei-Hong Zhang:
Simple stopping criteria for the LSQR method applied to discrete ill-posed problems. Numer. Algorithms 84(4): 1381-1395 (2020) - [j120]Fatemeh Panjeh Ali Beik, Khalide Jbilou, Mehdi Najafi-Kalyani, Lothar Reichel:
Golub-Kahan bidiagonalization for ill-conditioned tensor equations with applications. Numer. Algorithms 84(4): 1535-1563 (2020) - [i3]Mohammed Al Mugahwi, Omar De la Cruz Cabrera, Silvia Noschese, Lothar Reichel:
Functions and eigenvectors of partially known matrices with applications to network analysis. CoRR abs/2005.05903 (2020) - [i2]Abdulaziz Alqahtani, Thomas Mach, Lothar Reichel:
Continuous Adaptive Cross Approximation for Ill-posed Problems with Chebfun. CoRR abs/2007.16137 (2020)
2010 – 2019
- 2019
- [j119]Dusan Lj. Djukic, Lothar Reichel, Miodrag M. Spalevic, Jelena D. Tomanovic:
Internality of generalized averaged Gaussian quadrature rules and truncated variants for modified Chebyshev measures of the second kind. J. Comput. Appl. Math. 345: 70-85 (2019) - [j118]Silvia Noschese, Lothar Reichel:
Computing unstructured and structured polynomial pseudospectrum approximations. J. Comput. Appl. Math. 350: 57-68 (2019) - [j117]Omar De la Cruz Cabrera, Mona Matar, Lothar Reichel:
Analysis of directed networks via the matrix exponential. J. Comput. Appl. Math. 355: 182-192 (2019) - [j116]Alessandro Buccini, Lothar Reichel:
An ℓ2-ℓq Regularization Method for Large Discrete Ill-Posed Problems. J. Sci. Comput. 78(3): 1526-1549 (2019) - [j115]Guang-Xin Huang, Lothar Reichel, Feng Yin:
On the choice of subspace for large-scale Tikhonov regularization problems in general form. Numer. Algorithms 81(1): 33-55 (2019) - [j114]Mykhailo Kuian, Lothar Reichel, Sergij V. Shiyanovskii:
Fast factorization of rectangular Vandermonde matrices with Chebyshev nodes. Numer. Algorithms 81(2): 547-559 (2019) - [j113]Silvia Noschese, Lothar Reichel:
Eigenvector sensitivity under general and structured perturbations of tridiagonal Toeplitz-type matrices. Numer. Linear Algebra Appl. 26(3) (2019) - [j112]Hessah Alqahtani, Lothar Reichel:
Generalized block anti-Gauss quadrature rules. Numerische Mathematik 143(3): 605-648 (2019) - [j111]Mykhailo Kuian, Lothar Reichel, Sergij V. Shiyanovskii:
Optimally Conditioned Vandermonde-Like Matrices. SIAM J. Matrix Anal. Appl. 40(4): 1399-1424 (2019) - [i1]Fatemeh Panjeh Ali Beik, Khalide Jbilou, Mehdi Najafi-Kalyani, Lothar Reichel:
On the Golub-Kahan bidiagonalization for ill-posed tensor equations with applications to color image restoration. CoRR abs/1907.08811 (2019) - 2018
- [j110]Alessandro Buccini, Yonggi Park, Lothar Reichel:
Numerical aspects of the nonstationary modified linearized Bregman algorithm. Appl. Math. Comput. 337: 386-398 (2018) - [j109]Yonggi Park, Lothar Reichel, Giuseppe Rodriguez, Xuebo Yu:
Parameter determination for Tikhonov regularization problems in general form. J. Comput. Appl. Math. 343: 12-25 (2018) - [j108]JaEun Ku, Lothar Reichel:
Simple efficient solvers for certain ill-conditioned systems of linear equations, including H(div) problems. J. Comput. Appl. Math. 343: 240-249 (2018) - [j107]Hessah Alqahtani, Lothar Reichel:
Simplified anti-Gauss quadrature rules with applications in linear algebra. Numer. Algorithms 77(2): 577-602 (2018) - [j106]Zhong-Zhi Bai, Maya G. Neytcheva, Lothar Reichel:
Editorial: Novel methods and theories in numerical algebra with interdisciplinary applications. Numer. Linear Algebra Appl. 25(4) (2018) - [j105]Laura Dykes, Guang-Xin Huang, Silvia Noschese, Lothar Reichel:
Regularization matrices for discrete ill-posed problems in several space dimensions. Numer. Linear Algebra Appl. 25(4) (2018) - 2017
- [j104]Carl Jagels, Lothar Reichel, Tunan Tang:
Generalized averaged Szegő quadrature rules. J. Comput. Appl. Math. 311: 645-654 (2017) - [j103]Zhong-Zhi Bai, Alessandro Buccini, Ken Hayami, Lothar Reichel, Jun-Feng Yin, Ning Zheng:
Modulus-based iterative methods for constrained Tikhonov regularization. J. Comput. Appl. Math. 319: 1-13 (2017) - [j102]Abdeslem Hafid Bentbib, Mohamed El Guide, Khalide Jbilou, Lothar Reichel:
Global Golub-Kahan bidiagonalization applied to large discrete ill-posed problems. J. Comput. Appl. Math. 322: 46-56 (2017) - [j101]Serena Morigi, Lothar Reichel, Fiorella Sgallari:
Fractional Tikhonov regularization with a nonlinear penalty term. J. Comput. Appl. Math. 324: 142-154 (2017) - [j100]Enyinda Onunwor, Lothar Reichel:
On the computation of a truncated SVD of a large linear discrete ill-posed problem. Numer. Algorithms 75(2): 359-380 (2017) - [j99]Laura Dykes, Silvia Noschese, Lothar Reichel:
Circulant preconditioners for discrete ill-posed Toeplitz systems. Numer. Algorithms 75(2): 477-490 (2017) - [j98]Maged Alkilayh, Lothar Reichel, Jin Yun Yuan:
New zero-finders for trust-region computations. Numer. Algorithms 76(2): 361-375 (2017) - [j97]Silvia Noschese, Lothar Reichel:
Approximated structured pseudospectra. Numer. Linear Algebra Appl. 24(2) (2017) - [j96]Alessandro Buccini, Marco Donatelli, Lothar Reichel:
Iterated Tikhonov regularization with a general penalty term. Numer. Linear Algebra Appl. 24(4) (2017) - 2016
- [j95]Abdeslem Hafid Bentbib, Mohamed El Guide, Khalide Jbilou, Lothar Reichel:
A global Lanczos method for image restoration. J. Comput. Appl. Math. 300: 233-244 (2016) - [j94]Thomas Mach, Lothar Reichel, Marc Van Barel, Raf Vandebril:
Adaptive cross approximation for ill-posed problems. J. Comput. Appl. Math. 303: 206-217 (2016) - [j93]Dusan Lj. Djukic, Lothar Reichel, Miodrag M. Spalevic:
Truncated generalized averaged Gauss quadrature rules. J. Comput. Appl. Math. 308: 408-418 (2016) - [j92]Guang-Xin Huang, Lothar Reichel, Feng Yin:
On the choice of solution subspace for nonstationary iterated Tikhonov regularization. Numer. Algorithms 72(4): 1043-1063 (2016) - [j91]Silvia Gazzola, Enyinda Onunwor, Lothar Reichel, Giuseppe Rodriguez:
On the Lanczos and Golub-Kahan reduction methods applied to discrete ill-posed problems. Numer. Linear Algebra Appl. 23(1): 187-204 (2016) - [j90]Caterina Fenu, Lothar Reichel, Giuseppe Rodriguez:
GCV for Tikhonov regularization via global Golub-Kahan decomposition. Numer. Linear Algebra Appl. 23(3): 467-484 (2016) - [j89]Miroslav S. Pranic, Lothar Reichel, Giuseppe Rodriguez, Zhengsheng Wang, Xuebo Yu:
A rational Arnoldi process with applications. Numer. Linear Algebra Appl. 23(6): 1007-1022 (2016) - 2015
- [j88]Marco Donatelli, David R. Martin, Lothar Reichel:
Arnoldi methods for image deblurring with anti-reflective boundary conditions. Appl. Math. Comput. 253: 135-150 (2015) - [j87]Michiel E. Hochstenbach, Lothar Reichel, Giuseppe Rodriguez:
Regularization parameter determination for discrete ill-posed problems. J. Comput. Appl. Math. 273: 132-149 (2015) - [j86]Miroslav S. Pranic, Lothar Reichel:
Generalized anti-Gauss quadrature rules. J. Comput. Appl. Math. 284: 235-243 (2015) - [j85]Carl Jagels, Lothar Reichel:
On the computation of Gauss quadrature rules for measures with a monomial denominator. J. Comput. Appl. Math. 286: 102-113 (2015) - [j84]Mohammed Bellalij, Lothar Reichel, Hassane Sadok:
Some properties of range restricted GMRES methods. J. Comput. Appl. Math. 290: 310-318 (2015) - [j83]Michiel E. Hochstenbach, Lothar Reichel, Xuebo Yu:
A Golub-Kahan-Type Reduction Method for Matrix Pairs. J. Sci. Comput. 65(2): 767-789 (2015) - [j82]Laura Dykes, Silvia Noschese, Lothar Reichel:
Rescaling the GSVD with application to ill-posed problems. Numer. Algorithms 68(3): 531-545 (2015) - [j81]Alessandro Lanza, Serena Morigi, Lothar Reichel, Fiorella Sgallari:
A Generalized Krylov Subspace Method for ℓp-ℓq Minimization. SIAM J. Sci. Comput. 37(5) (2015) - 2014
- [j80]Laura Dykes, Lothar Reichel:
Simplified GSVD computations for the solution of linear discrete ill-posed problems. J. Comput. Appl. Math. 255: 15-27 (2014) - [j79]Marco Donatelli, Lothar Reichel:
Square smoothing regularization matrices with accurate boundary conditions. J. Comput. Appl. Math. 272: 334-349 (2014) - [j78]Tristan A. Hearn, Lothar Reichel:
Application of denoising methods to regularizationof ill-posed problems. Numer. Algorithms 66(4): 761-777 (2014) - [j77]Silvia Noschese, Lothar Reichel:
Inverse subspace problems with applications. Numer. Linear Algebra Appl. 21(5): 589-603 (2014) - [j76]Silvia Noschese, Lothar Reichel:
A modified truncated singular value decomposition method for discrete ill-posed problems. Numer. Linear Algebra Appl. 21(6): 813-822 (2014) - [j75]Miroslav S. Pranic, Lothar Reichel:
Rational Gauss Quadrature. SIAM J. Numer. Anal. 52(2): 832-851 (2014) - [c6]Serena Morigi, Lothar Reichel, Fiorella Sgallari:
A General Framework for Nonlinear Regularized Krylov-Based Image Restoration. CompIMAGE 2014: 273-279 - 2013
- [j74]Tristan A. Hearn, Lothar Reichel:
Extensions of the Justen-Ramlau blind deconvolution method. Adv. Comput. Math. 39(3-4): 465-491 (2013) - [j73]David R. Martin, Lothar Reichel:
Projected Tikhonov Regularization of Large-Scale Discrete Ill-Posed Problems. J. Sci. Comput. 56(3): 471-493 (2013) - [j72]Carl Jagels, Lothar Reichel:
The structure of matrices in rational Gauss quadrature. Math. Comput. 82(284): 2035-2060 (2013) - [j71]Lothar Reichel, Giuseppe Rodriguez:
Old and new parameter choice rules for discrete ill-posed problems. Numer. Algorithms 63(1): 65-87 (2013) - [j70]James Baglama, Lothar Reichel, Daniel Richmond:
An augmented LSQR method. Numer. Algorithms 64(2): 263-293 (2013) - [j69]Eric King-Wah Chu, Wen-Wei Lin, Lothar Reichel:
Special issue dedicated to Biswa Nath Datta on the occasion of his 70th birthday. Numer. Linear Algebra Appl. 20(2): 167-170 (2013) - [j68]Silvia Noschese, Lionello Pasquini, Lothar Reichel:
Tridiagonal Toeplitz matrices: properties and novel applications. Numer. Linear Algebra Appl. 20(2): 302-326 (2013) - [j67]Miroslav S. Pranic, Lothar Reichel:
Recurrence relations for orthogonal rational functions. Numerische Mathematik 123(4): 629-642 (2013) - [j66]Caterina Fenu, David R. Martin, Lothar Reichel, Giuseppe Rodriguez:
Block Gauss and Anti-Gauss Quadrature with Application to Networks. SIAM J. Matrix Anal. Appl. 34(4): 1655-1684 (2013) - [j65]Caterina Fenu, David R. Martin, Lothar Reichel, Giuseppe Rodriguez:
Network Analysis via Partial Spectral Factorization and Gauss Quadrature. SIAM J. Sci. Comput. 35(4) (2013) - [c5]Serena Morigi, Lothar Reichel, Fiorella Sgallari:
A Cascadic Alternating Krylov Subspace Image Restoration Method. SSVM 2013: 98-109 - 2012
- [j64]Abderrahman Bouhamidi, Khalide Jbilou, Ronny Ramlau, Lothar Reichel, Hassane Sadok, Fiorella Sgallari:
Inverse problems: Computation and applications. J. Comput. Appl. Math. 236(8): 2047-2048 (2012) - [j63]J. O. Abad, Serena Morigi, Lothar Reichel, Fiorella Sgallari:
Alternating Krylov subspace image restoration methods. J. Comput. Appl. Math. 236(8): 2049-2062 (2012) - [j62]Abderrahman Bouhamidi, Khalide Jbilou, Lothar Reichel, Hassane Sadok:
A generalized global Arnoldi method for ill-posed matrix equations. J. Comput. Appl. Math. 236(8): 2078-2089 (2012) - [j61]Michiel E. Hochstenbach, Lothar Reichel:
Combining approximate solutions for linear discrete ill-posed problems. J. Comput. Appl. Math. 236(8): 2179-2185 (2012) - [j60]Arthur Neuman, Lothar Reichel, Hassane Sadok:
Algorithms for range restricted iterative methods for linear discrete ill-posed problems. Numer. Algorithms 59(2): 325-331 (2012) - [j59]Martin Fuhry, Lothar Reichel:
A new Tikhonov regularization method. Numer. Algorithms 59(3): 433-445 (2012) - [j58]Silvia Noschese, Lothar Reichel:
Inverse problems for regularization matrices. Numer. Algorithms 60(4): 531-544 (2012) - [j57]Laura Dykes, Lothar Reichel:
On the reduction of Tikhonov minimization problems and the construction of regularization matrices. Numer. Algorithms 60(4): 683-696 (2012) - [j56]Silvia Noschese, Lothar Reichel:
Generalized circulant Strang-type preconditioners. Numer. Linear Algebra Appl. 19(1): 3-17 (2012) - [j55]Zhong-Zhi Bai, Iain S. Duff, Lothar Reichel, Zhong-Ci Shi:
Innovative methods and theories in numerical algebra. Numer. Linear Algebra Appl. 19(6): 893-895 (2012) - [j54]Marco Donatelli, Arthur Neuman, Lothar Reichel:
Square regularization matrices for large linear discrete ill-posed problems. Numer. Linear Algebra Appl. 19(6): 896-913 (2012) - 2011
- [j53]Silvia Noschese, Lothar Reichel:
The structured distance to normality of Toeplitz matrices with application to preconditioning. Numer. Linear Algebra Appl. 18(3): 429-447 (2011) - 2010
- [j52]Greg S. Ammar, Lothar Reichel, Marc Van Barel:
Dedication to William B. Gragg on the Occasion of his 70th Birthday. J. Comput. Appl. Math. 233(5): 1191 (2010) - [j51]Serena Morigi, Lothar Reichel, Fiorella Sgallari:
An interior-point method for large constrained discrete ill-posed problems. J. Comput. Appl. Math. 233(5): 1288-1297 (2010) - [j50]Lothar Reichel, Andriy Shyshkov:
Cascadic multilevel methods for ill-posed problems. J. Comput. Appl. Math. 233(5): 1314-1325 (2010) - [j49]Michiel E. Hochstenbach, Lothar Reichel:
Subspace-restricted singular value decompositions for linear discrete ill-posed problems. J. Comput. Appl. Math. 235(4): 1053-1064 (2010) - [j48]Serena Morigi, Lothar Reichel, Fiorella Sgallari:
Noise-reducing cascadic multilevel methods for linear discrete ill-posed problems. Numer. Algorithms 53(1): 1-22 (2010)
2000 – 2009
- 2009
- [j47]Bernardo de la Calle Ysern, Guillermo López Lagomasino, Lothar Reichel:
Stieltjes-type polynomials on the unit circle. Math. Comput. 78(266): 969-997 (2009) - [j46]Khalide Jbilou, Lothar Reichel, Hassane Sadok:
Vector extrapolation enhanced TSVD for linear discrete ill-posed problems. Numer. Algorithms 51(2): 195-208 (2009) - [j45]Lothar Reichel, Giuseppe Rodriguez, Sebastiano Seatzu:
Error estimates for large-scale ill-posed problems. Numer. Algorithms 51(3): 341-361 (2009) - [j44]Sun-Mi Kim, Lothar Reichel:
Sensitivity analysis for Szegő polynomials. Numerische Mathematik 113(2): 265-279 (2009) - [j43]Bernhard Beckermann, Lothar Reichel:
Error Estimates and Evaluation of Matrix Functions via the Faber Transform. SIAM J. Numer. Anal. 47(5): 3849-3883 (2009) - [c4]Serena Morigi, Lothar Reichel, Fiorella Sgallari:
An Edge-Preserving Multilevel Method for Deblurring, Denoising, and Segmentation. SSVM 2009: 426-438 - 2008
- [j42]Lothar Reichel, Qiang Ye:
A generalized LSQR algorithm. Numer. Linear Algebra Appl. 15(7): 643-660 (2008) - [j41]Serena Morigi, Lothar Reichel, Fiorella Sgallari, Andriy Shyshkov:
Cascadic Multiresolution Methods for Image Deblurring. SIAM J. Imaging Sci. 1(1): 51-74 (2008) - [j40]Bernhard Beckermann, Lothar Reichel:
The Arnoldi Process and GMRES for Nearly Symmetric Matrices. SIAM J. Matrix Anal. Appl. 30(1): 102-120 (2008) - 2007
- [j39]Lothar Reichel, Hassane Sadok, Andriy Shyshkov:
Multigrid based preconditioners for the numerical solution of two-dimensional heterogeneous problems in geophysics. Int. J. Comput. Math. 84(8): 1151-1166 (2007) - [j38]Sun-Mi Kim, Lothar Reichel:
Anti-Szego quadrature rules. Math. Comput. 76(258): 795-810 (2007) - [j37]Serena Morigi, Lothar Reichel, Fiorella Sgallari:
Orthogonal projection regularization operators. Numer. Algorithms 44(2): 99-114 (2007) - [j36]James Baglama, Lothar Reichel:
Augmented GMRES-type methods. Numer. Linear Algebra Appl. 14(4): 337-350 (2007) - [p1]Gene H. Golub, Daniela Calvetti, William B. Gragg, Lothar Reichel:
Computation of Gauss-Kronrod Quadrature Rules. Milestones in Matrix Computation 2007: 434-456 - 2006
- [j35]Zhong-Hui Duan, Brent Hughes, Lothar Reichel, Dianne Perez, Ting Shi:
The relationship between protein sequences and their gene ontology functions. BMC Bioinform. 7(S-4) (2006) - [j34]Serena Morigi, Lothar Reichel, Fiorella Sgallari:
A truncated projected SVD method for linear discrete ill-posed problems. Numer. Algorithms 43(3): 197-213 (2006) - [j33]James Baglama, Lothar Reichel:
Restarted block Lanczos bidiagonalization methods. Numer. Algorithms 43(3): 251-272 (2006) - [c3]Zhong-Hui Duan, Brent Hughes, Lothar Reichel, Ting Shi:
The Relationship between Protein Sequences and their Gene Ontology Functions. IMSCCS (1) 2006: 76-83 - 2005
- [j32]Lothar Reichel:
Numerical methods. Math. Comput. 74(249) (2005) - [j31]Daniela Calvetti, Lothar Reichel, A. Shuibi:
Tikhonov regularization of large symmetric problems. Numer. Linear Algebra Appl. 12(2-3): 127-139 (2005) - [j30]Daniela Calvetti, Sun-Mi Kim, Lothar Reichel:
Quadrature Rules Based on the Arnoldi Process. SIAM J. Matrix Anal. Appl. 26(3): 765-781 (2005) - [j29]Lothar Reichel, Qiang Ye:
Breakdown-free GMRES for Singular Systems. SIAM J. Matrix Anal. Appl. 26(4): 1001-1021 (2005) - [j28]James Baglama, Lothar Reichel:
Augmented Implicitly Restarted Lanczos Bidiagonalization Methods. SIAM J. Sci. Comput. 27(1): 19-42 (2005) - 2004
- [j27]Daniela Calvetti, Lothar Reichel, A. Shuibi:
L-Curve and Curvature Bounds for Tikhonov Regularization. Numer. Algorithms 35(2-4): 301-314 (2004) - [j26]Daniela Calvetti, Lothar Reichel:
Tikhonov Regularization with a Solution Constraint. SIAM J. Sci. Comput. 26(1): 224-239 (2004) - 2003
- [j25]Daniela Calvetti, Lothar Reichel:
On the Evaluation of Polynomial Coefficients. Numer. Algorithms 33(1-4): 153-161 (2003) - [j24]Daniela Calvetti, Lothar Reichel:
Gauss Quadrature Applied to Trust Region Computations. Numer. Algorithms 34(1): 85-102 (2003) - [j23]James Baglama, Daniela Calvetti, Lothar Reichel:
IRBL: An Implicitly Restarted Block-Lanczos Method for Large-Scale Hermitian Eigenproblems. SIAM J. Sci. Comput. 24(5): 1650-1677 (2003) - [j22]James Baglama, Daniela Calvetti, Lothar Reichel:
Algorithm 827: irbleigs: A MATLAB program for computing a few eigenpairs of a large sparse Hermitian matrix. ACM Trans. Math. Softw. 29(3): 337-348 (2003) - 2002
- [j21]Daniela Calvetti, Lothar Reichel:
Lanczos-Based Exponential Filtering for Discrete Ill-Posed Problems. Numer. Algorithms 29(1-3): 45-65 (2002) - [j20]Daniela Calvetti, Bryan Lewis, Lothar Reichel:
On the regularizing properties of the GMRES method. Numerische Mathematik 91(4): 605-625 (2002) - 2001
- [j19]Daniela Calvetti, Bryan Lewis, Lothar Reichel:
On the solution of large Sylvester-observer equations. Numer. Linear Algebra Appl. 8(6-7): 435-451 (2001) - 2000
- [j18]Daniela Calvetti, Gene H. Golub, William B. Gragg, Lothar Reichel:
Computation of Gauss-Kronrod quadrature rules. Math. Comput. 69(231): 1035-1052 (2000) - [j17]Daniela Calvetti, Serena Morigi, Lothar Reichel, Fiorella Sgallari:
Computable error bounds and estimates for the conjugate gradient method. Numer. Algorithms 25(1-4): 75-88 (2000) - [j16]Daniela Calvetti, Serena Morigi, Lothar Reichel, Fiorella Sgallari:
An L-ribbon for large underdetermined linear discrete ill-posed problems. Numer. Algorithms 25(1-4): 89-107 (2000)
1990 – 1999
- 1999
- [j15]Daniela Calvetti, Lothar Reichel:
On an inverse eigenproblem for Jacobi matrices. Adv. Comput. Math. 11(1): 11-20 (1999) - [j14]Daniela Calvetti, Lothar Reichel:
A block-Lanczos method for large continuation problems. Numer. Algorithms 21(1-4): 109-118 (1999) - [j13]Daniela Calvetti, Lothar Reichel, Qin Zhang:
Iterative exponential filtering for large discrete ill-posed problems. Numerische Mathematik 83(4): 535-556 (1999) - 1998
- [j12]James Baglama, Daniela Calvetti, Gene H. Golub, Lothar Reichel:
Adaptively Preconditioned GMRES Algorithms. SIAM J. Sci. Comput. 20(1): 243-269 (1998) - 1996
- [j11]Daniela Calvetti, Lothar Reichel:
A hybrid iterative method for symmetric positive definite linear systems. Numer. Algorithms 11(1): 79-98 (1996) - [j10]Daniela Calvetti, Lothar Reichel:
An adaptive Richardson iteration method for indefinite linear systems. Numer. Algorithms 12(1): 125-149 (1996) - [j9]Daniela Calvetti, Lothar Reichel:
Application of ADI Iterative Methods to the Restoration of Noisy Images. SIAM J. Matrix Anal. Appl. 17(1): 165-186 (1996) - 1994
- [j8]Carl F. Jagels, Lothar Reichel:
A fast minimal residual algorithm for shifted unitary matrices. Numer. Linear Algebra Appl. 1(6): 555-570 (1994) - [j7]Greg S. Ammar, Lothar Reichel, Danny C. Sorensen:
Corrigendum: Algorithm 730; An implementation of a divide and conquer algorithm for the unitary eigenproblem. ACM Trans. Math. Softw. 20(1): 161 (1994) - 1993
- [j6]Lothar Reichel:
Construction of polynomials that are orthogonal with respect to a discrete bilinear form. Adv. Comput. Math. 1(2): 241-258 (1993) - [c2]Daniela Calvetti, Efstratios Gallopoulos, Lothar Reichel:
Accuracy Control for Parallel Evaluation of Matrix Rational Functions. PPSC 1993: 652-655 - 1992
- [j5]Noël M. Nachtigal, Lothar Reichel, Lloyd N. Trefethen:
A Hybrid GMRES Algorithm for Nonsymmetric Linear Systems. SIAM J. Matrix Anal. Appl. 13(3): 796-825 (1992) - [j4]Greg S. Ammar, Lothar Reichel, Danny C. Sorensen:
An implementation of a divide and conquer algorithm for the unitary eigen problem. ACM Trans. Math. Softw. 18(3): 292-307 (1992) - 1991
- [c1]Zhaojun Bai, Dan Hu, Lothar Reichel:
An Implementation of the GMRES Method Using QR Factorization. PP 1991: 84-91 - 1990
- [j3]Lothar Reichel:
A Matrix Problem with Application to Rapid Solution of Integral Equations. SIAM J. Sci. Comput. 11(2): 263-280 (1990) - [j2]Lothar Reichel, William B. Gragg:
Algorithm 686: FORTRAN subroutines for updating the QR decomposition. ACM Trans. Math. Softw. 16(4): 369-377 (1990)
1980 – 1989
- 1986
- [j1]Lothar Reichel:
A method for preconditioning matrices arising from linear integral equations for elliptic boundary value problems. Computing 37(2): 125-136 (1986)
Coauthor Index
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