Lothar Reichel

According to our database, Lothar Reichel authored at least 193 papers between 1986 and 2024.

Collaborative distances:

• Dijkstra number of three.
• Erdős number of four.

2024

Enhancing multiplex global efficiency.

Silvia Noschese, Lothar Reichel

Numer. Algorithms, May, 2024

Error estimates for quadrature rules based on the Arnoldi process.

Hanan Almutairi, Miroslav S. Pranic, Lothar Reichel

J. Comput. Appl. Math., May, 2024

Averaged Nyström interpolants for the solution of Fredholm integral equations of the second kind.

Luisa Fermo, Lothar Reichel, Giuseppe Rodriguez, Miodrag M. Spalevic

Appl. Math. Comput., April, 2024

A tensor bidiagonalization method for higher-order singular value decomposition with applications.

Anas El Hachimi, Khalide Jbilou, Ahmed Ratnani, Lothar Reichel

Numer. Linear Algebra Appl., March, 2024

Decompositions of optimal averaged Gauss quadrature rules.

Dusan Lj. Djukic, Rada M. Mutavdzic Djukic, Lothar Reichel, Miodrag M. Spalevic

J. Comput. Appl. Math., March, 2024

Radau- and Lobatto-type averaged Gauss rules.

Lothar Reichel, Miodrag M. Spalevic

J. Comput. Appl. Math., February, 2024

Network analysis with the aid of the path length matrix.

Silvia Noschese, Lothar Reichel

Numer. Algorithms, January, 2024

Special issue on advances in quadrature, cubature, and the solution of integral equations with applications.

Luisa Fermo, Gradimir V. Milovanovic, Lothar Reichel, Miodrag M. Spalevic

J. Comput. Appl. Math., 2024

Communication in Multiplex Transportation Networks.

Silvia Noschese, Lothar Reichel

CoRR, 2024

Edge Importance in Complex Networks.

Silvia Noschese, Lothar Reichel

CoRR, 2024

2023

An Efficient Implementation of the Gauss-Newton Method Via Generalized Krylov Subspaces.

Alessandro Buccini, Patricia Diaz de Alba, Federica Pes, Lothar Reichel

J. Sci. Comput., November, 2023

Variable selection in saturated and supersaturated designs via lp-lq minimization.

Alessandro Buccini, Omar De la Cruz Cabrera, Christos Koukouvinos, Marilena Mitrouli, Lothar Reichel

Commun. Stat. Simul. Comput., September, 2023

Solution of ill-posed problems with Chebfun.

Abdulaziz Alqahtani, Thomas Mach, Lothar Reichel

Numer. Algorithms, April, 2023

Limited memory restarted ℓ^p-ℓ^q minimization methods using generalized Krylov subspaces.

Alessandro Buccini, Lothar Reichel

Adv. Comput. Math., April, 2023

Pole Allocation for Rational Gauss Quadrature Rules for Matrix Functionals Defined by a Stieltjes Function.

Jihan Alahmadi, Miroslav S. Pranic, Lothar Reichel

Axioms, February, 2023

Adaptive cross approximation for Tikhonov regularization in general form.

Thomas Mach, Lothar Reichel, Marc Van Barel

Numer. Algorithms, January, 2023

Perron communicability and sensitivity of multilayer networks.

Smahane El-Halouy, Silvia Noschese, Lothar Reichel

Numer. Algorithms, January, 2023

Internality of generalized averaged Gauss quadrature rules and truncated variants for modified Chebyshev measures of the third and fourth kinds.

Dusan Lj. Djukic, Rada M. Mutavdzic Djukic, Lothar Reichel, Miodrag M. Spalevic

Numer. Algorithms, January, 2023

An Arnoldi-based preconditioner for iterated Tikhonov regularization.

Alessandro Buccini, Lucas Onisk, Lothar Reichel

Numer. Algorithms, January, 2023

The global Golub-Kahan method and Gauss quadrature for tensor function approximation.

Abdeslem Hafid Bentbib, M. El Ghomari, Khalide Jbilou, Lothar Reichel

Numer. Algorithms, January, 2023

Numerical considerations of block GMRES methods when applied to linear discrete ill-posed problems.

Lucas Onisk, Lothar Reichel, Hassane Sadok

J. Comput. Appl. Math., 2023

Recent advances in the numerical solution of matrix problems.

Ken Hayami, Keiichi Morikuni, Lothar Reichel, Ning Zheng

J. Comput. Appl. Math., 2023

Theoretical and numerical aspects of a non-stationary preconditioned iterative method for linear discrete ill-posed problems.

Alessandro Buccini, Marco Donatelli, Lothar Reichel

J. Comput. Appl. Math., 2023

Convergence analysis and parameter estimation for the iterated Arnoldi-Tikhonov method.

Davide Bianchi, Marco Donatelli, Davide Furchì, Lothar Reichel

CoRR, 2023

Spectral computation with third-order tensors using the t-product.

Anas El Hachimi, Khalide Jbilou, Ahmed Ratnani, Lothar Reichel

CoRR, 2023

2022

Rational gauss quadrature rules for the approximation of matrix functionals involving stieltjes functions.

Jihan Alahmadi, Miroslav S. Pranic, Lothar Reichel

Numerische Mathematik, 2022

The tensor Golub-Kahan-Tikhonov method applied to the solution of ill-posed problems with a t-product structure.

Lothar Reichel, Ugochukwu O. Ugwu

Numer. Linear Algebra Appl., 2022

Estimating and increasing the structural robustness of a network.

Silvia Noschese, Lothar Reichel

Numer. Linear Algebra Appl., 2022

Tensor Arnoldi-Tikhonov and GMRES-Type Methods for Ill-Posed Problems with a t-Product Structure.

Lothar Reichel, Ugochukwu O. Ugwu

J. Sci. Comput., 2022

Weighted tensor Golub-Kahan-Tikhonov-type methods applied to image processing using a t-product.

Lothar Reichel, Ugochukwu O. Ugwu

J. Comput. Appl. Math., 2022

Averaged Gauss quadrature formulas: Properties and applications.

Lothar Reichel, Miodrag M. Spalevic

J. Comput. Appl. Math., 2022

The extended symmetric block Lanczos method for matrix-valued Gauss-type quadrature rules.

Abdeslem Hafid Bentbib, M. El Ghomari, Khalide Jbilou, Lothar Reichel

J. Comput. Appl. Math., 2022

A tensor formalism for multilayer network centrality measures using the Einstein product.

Smahane El-Halouy, Silvia Noschese, Lothar Reichel

CoRR, 2022

On the banded Toeplitz structured distance to symmetric positive semidefiniteness.

Silvia Noschese, Lothar Reichel

CoRR, 2022

Chained structure of directed graphs with applications to social and transportation networks.

Anna Concas, Caterina Fenu, Lothar Reichel, Giuseppe Rodriguez, Yunzi Zhang

Appl. Netw. Sci., 2022

SoftNet: A Package for the Analysis of Complex Networks.

Caterina Fenu, Lothar Reichel, Giuseppe Rodriguez

Algorithms, 2022

2021

A new nonstationary preconditioned iterative method for linear discrete ill-posed problems with application to image deblurring.

Alessandro Buccini, Marco Donatelli, Lothar Reichel, Wei-Hong Zhang

Numer. Linear Algebra Appl., 2021

On the block Lanczos and block Golub-Kahan reduction methods applied to discrete ill-posed problems.

Abdulaziz Alqahtani, Silvia Gazzola, Lothar Reichel, Giuseppe Rodriguez

Numer. Linear Algebra Appl., 2021

Centrality measures for node-weighted networks via line graphs and the matrix exponential.

Omar De la Cruz Cabrera, Mona Matar, Lothar Reichel

Numer. Algorithms, 2021

Generalized cross validation for ℓ^p-ℓ^q minimization.

Alessandro Buccini, Lothar Reichel

Numer. Algorithms, 2021

Linearized Krylov subspace Bregman iteration with nonnegativity constraint.

Alessandro Buccini, Mirjeta Pasha, Lothar Reichel

Numer. Algorithms, 2021

Gauss-Laurent-type quadrature rules for the approximation of functionals of a nonsymmetric matrix.

Jihan Alahmadi, Hessah Alqahtani, Miroslav S. Pranic, Lothar Reichel

Numer. Algorithms, 2021

The extended global Lanczos method, Gauss-Radau quadrature, and matrix function approximation.

Carl Jagels, Khalide Jbilou, Lothar Reichel

J. Comput. Appl. Math., 2021

New matrix function approximations and quadrature rules based on the Arnoldi process.

Nasim Eshghi, Thomas Mach, Lothar Reichel

J. Comput. Appl. Math., 2021

Lanczos-based fast blind deconvolution methods.

Laura Dykes, Ronny Ramlau, Lothar Reichel, Kirk M. Soodhalter, Roland Wagner

J. Comput. Appl. Math., 2021

Internality of generalized averaged Gauss quadrature rules and truncated variants for modified Chebyshev measures of the first kind.

Dusan Lj. Djukic, Rada M. Mutavdzic Djukic, Lothar Reichel, Miodrag M. Spalevic

J. Comput. Appl. Math., 2021

New models for multi-class networks.

Omar De la Cruz Cabrera, Jiafeng Jin, Lothar Reichel

J. Comput. Appl. Math., 2021

Corrigendum to "Comparison of a-posteriori parameter choice rules for linear discrete ill-posed problems" [J. Comput. Appl. Math. 373 (2020) 112138].

Alessandro Buccini, Yonggi Park, Lothar Reichel

J. Comput. Appl. Math., 2021

Computation of error bounds via generalized Gauss-Radau and Gauss-Lobatto rules.

Jihan Alahmadi, Miroslav S. Pranic, Lothar Reichel

J. Comput. Appl. Math., 2021

Tensor regularization by truncated iteration: a comparison of some solution methods for large-scale linear discrete ill-posed problem with a t-product.

Ugochukwu O. Ugwu, Lothar Reichel

CoRR, 2021

Communication in Complex Networks.

Omar De la Cruz Cabrera, Jiafeng Jin, Silvia Noschese, Lothar Reichel

CoRR, 2021

Chained graphs and some applications.

Anna Concas, Lothar Reichel, Giuseppe Rodriguez, Yunzi Zhang

Appl. Netw. Sci., 2021

Block matrix models for dynamic networks.

Mohammed Al Mugahwi, Omar De la Cruz Cabrera, Caterina Fenu, Lothar Reichel, Giuseppe Rodriguez

Appl. Math. Comput., 2021

Estimating the error in matrix function approximations.

Nasim Eshghi, Lothar Reichel

Adv. Comput. Math., 2021

Solution of linear discrete ill-posed problems by discretized Chebyshev expansion.

Xianglan Bai, Alessandro Buccini, Lothar Reichel

Proceedings of the 2021 21st International Conference on Computational Science and Its Applications (ICCSA), Cagliari, Italy, September 13-16, 2021, 2021

Restoration of Blurred Images Corrupted by Impulse Noise via Median Filters and ℓ^p-ℓ^q Minimization.

Majed Alotaibi, Alessandro Buccini, Lothar Reichel

Proceedings of the 2021 21st International Conference on Computational Science and Its Applications (ICCSA), Cagliari, Italy, September 13-16, 2021, 2021

2020

Simple stopping criteria for the LSQR method applied to discrete ill-posed problems.

Lothar Reichel, Hassane Sadok, Wei-Hong Zhang

Numer. Algorithms, 2020

Edge importance in a network via line graphs and the matrix exponential.

Omar De la Cruz Cabrera, Mona Matar, Lothar Reichel

Numer. Algorithms, 2020

Golub-Kahan bidiagonalization for ill-conditioned tensor equations with applications.

Fatemeh Panjeh Ali Beik, Khalide Jbilou, Mehdi Najafi-Kalyani, Lothar Reichel

Numer. Algorithms, 2020

A spectral method for bipartizing a network and detecting a large anti-community.

Anna Concas, Silvia Noschese, Lothar Reichel, Giuseppe Rodriguez

J. Comput. Appl. Math., 2020

An ℓp-ℓq minimization method with cross-validation for the restoration of impulse noise contaminated images.

Alessandro Buccini, Lothar Reichel

J. Comput. Appl. Math., 2020

Generalized singular value decomposition with iterated Tikhonov regularization.

Alessandro Buccini, Mirjeta Pasha, Lothar Reichel

J. Comput. Appl. Math., 2020

Comparison of A-posteriori parameter choice rules for linear discrete ill-posed problems.

Alessandro Buccini, Yonggi Park, Lothar Reichel

J. Comput. Appl. Math., 2020

Numerical Analysis and Scientific Computation (NASCA18).

Dario Bini, Khalide Jbilou, Marilena Mitrouli, Lothar Reichel

J. Comput. Appl. Math., 2020

Continuous Adaptive Cross Approximation for Ill-posed Problems with Chebfun.

Abdulaziz Alqahtani, Thomas Mach, Lothar Reichel

CoRR, 2020

Functions and eigenvectors of partially known matrices with applications to network analysis.

Mohammed Al Mugahwi, Omar De la Cruz Cabrera, Silvia Noschese, Lothar Reichel

CoRR, 2020

2019

Optimally Conditioned Vandermonde-Like Matrices.

Mykhailo Kuian, Lothar Reichel, Sergij V. Shiyanovskii

SIAM J. Matrix Anal. Appl., 2019

Generalized block anti-Gauss quadrature rules.

Hessah Alqahtani, Lothar Reichel

Numerische Mathematik, 2019

Eigenvector sensitivity under general and structured perturbations of tridiagonal Toeplitz-type matrices.

Silvia Noschese, Lothar Reichel

Numer. Linear Algebra Appl., 2019

Fast factorization of rectangular Vandermonde matrices with Chebyshev nodes.

Mykhailo Kuian, Lothar Reichel, Sergij V. Shiyanovskii

Numer. Algorithms, 2019

On the choice of subspace for large-scale Tikhonov regularization problems in general form.

Guang-Xin Huang, Lothar Reichel, Feng Yin

Numer. Algorithms, 2019

An ℓ²-ℓ^q Regularization Method for Large Discrete Ill-Posed Problems.

Alessandro Buccini, Lothar Reichel

J. Sci. Comput., 2019

Computing unstructured and structured polynomial pseudospectrum approximations.

Silvia Noschese, Lothar Reichel

J. Comput. Appl. Math., 2019

Internality of generalized averaged Gaussian quadrature rules and truncated variants for modified Chebyshev measures of the second kind.

Dusan Lj. Djukic, Lothar Reichel, Miodrag M. Spalevic, Jelena D. Tomanovic

J. Comput. Appl. Math., 2019

Analysis of directed networks via the matrix exponential.

Omar De la Cruz Cabrera, Mona Matar, Lothar Reichel

J. Comput. Appl. Math., 2019

On the Golub-Kahan bidiagonalization for ill-posed tensor equations with applications to color image restoration.

Fatemeh Panjeh Ali Beik, Khalide Jbilou, Mehdi Najafi-Kalyani, Lothar Reichel

CoRR, 2019

2018

Regularization matrices for discrete ill-posed problems in several space dimensions.

Laura Dykes, Guang-Xin Huang, Silvia Noschese, Lothar Reichel

Numer. Linear Algebra Appl., 2018

Editorial: Novel methods and theories in numerical algebra with interdisciplinary applications.

Zhong-Zhi Bai, Maya G. Neytcheva, Lothar Reichel

Numer. Linear Algebra Appl., 2018

Simplified anti-Gauss quadrature rules with applications in linear algebra.

Hessah Alqahtani, Lothar Reichel

Numer. Algorithms, 2018

Parameter determination for Tikhonov regularization problems in general form.

Yonggi Park, Lothar Reichel, Giuseppe Rodriguez, Xuebo Yu

J. Comput. Appl. Math., 2018

Simple efficient solvers for certain ill-conditioned systems of linear equations, including H(div) problems.

JaEun Ku, Lothar Reichel

J. Comput. Appl. Math., 2018

Numerical aspects of the nonstationary modified linearized Bregman algorithm.

Alessandro Buccini, Yonggi Park, Lothar Reichel

Appl. Math. Comput., 2018

2017

Approximated structured pseudospectra.

Silvia Noschese, Lothar Reichel

Numer. Linear Algebra Appl., 2017

Iterated Tikhonov regularization with a general penalty term.

Alessandro Buccini, Marco Donatelli, Lothar Reichel

Numer. Linear Algebra Appl., 2017

On the computation of a truncated SVD of a large linear discrete ill-posed problem.

Enyinda Onunwor, Lothar Reichel

Numer. Algorithms, 2017

Circulant preconditioners for discrete ill-posed Toeplitz systems.

Laura Dykes, Silvia Noschese, Lothar Reichel

Numer. Algorithms, 2017

New zero-finders for trust-region computations.

Maged Alkilayh, Lothar Reichel, Jin Yun Yuan

Numer. Algorithms, 2017

Fractional Tikhonov regularization with a nonlinear penalty term.

Serena Morigi, Lothar Reichel, Fiorella Sgallari

J. Comput. Appl. Math., 2017

Generalized averaged Szegő quadrature rules.

Carl Jagels, Lothar Reichel, Tunan Tang

J. Comput. Appl. Math., 2017

Global Golub-Kahan bidiagonalization applied to large discrete ill-posed problems.

Abdeslem Hafid Bentbib, Mohamed El Guide, Khalide Jbilou, Lothar Reichel

J. Comput. Appl. Math., 2017

Modulus-based iterative methods for constrained Tikhonov regularization.

Zhong-Zhi Bai, Alessandro Buccini, Ken Hayami, Lothar Reichel, Jun-Feng Yin, Ning Zheng

J. Comput. Appl. Math., 2017

2016

A rational Arnoldi process with applications.

Miroslav S. Pranic, Lothar Reichel, Giuseppe Rodriguez, Zhengsheng Wang, Xuebo Yu

Numer. Linear Algebra Appl., 2016

On the Lanczos and Golub-Kahan reduction methods applied to discrete ill-posed problems.

Silvia Gazzola, Enyinda Onunwor, Lothar Reichel, Giuseppe Rodriguez

Numer. Linear Algebra Appl., 2016

GCV for Tikhonov regularization via global Golub-Kahan decomposition.

Caterina Fenu, Lothar Reichel, Giuseppe Rodriguez

Numer. Linear Algebra Appl., 2016

On the choice of solution subspace for nonstationary iterated Tikhonov regularization.

Guang-Xin Huang, Lothar Reichel, Feng Yin

Numer. Algorithms, 2016

Adaptive cross approximation for ill-posed problems.

Thomas Mach, Lothar Reichel, Marc Van Barel, Raf Vandebril

J. Comput. Appl. Math., 2016

Truncated generalized averaged Gauss quadrature rules.

Dusan Lj. Djukic, Lothar Reichel, Miodrag M. Spalevic

J. Comput. Appl. Math., 2016

A global Lanczos method for image restoration.

Abdeslem Hafid Bentbib, Mohamed El Guide, Khalide Jbilou, Lothar Reichel

J. Comput. Appl. Math., 2016

2015

A Generalized Krylov Subspace Method for ℓ_p-ℓ_q Minimization.

Alessandro Lanza, Serena Morigi, Lothar Reichel, Fiorella Sgallari

SIAM J. Sci. Comput., 2015

Rescaling the GSVD with application to ill-posed problems.

Laura Dykes, Silvia Noschese, Lothar Reichel

Numer. Algorithms, 2015

A Golub-Kahan-Type Reduction Method for Matrix Pairs.

Michiel E. Hochstenbach, Lothar Reichel, Xuebo Yu

J. Sci. Comput., 2015

Generalized anti-Gauss quadrature rules.

Miroslav S. Pranic, Lothar Reichel

J. Comput. Appl. Math., 2015

On the computation of Gauss quadrature rules for measures with a monomial denominator.

Carl Jagels, Lothar Reichel

J. Comput. Appl. Math., 2015

Regularization parameter determination for discrete ill-posed problems.

Michiel E. Hochstenbach, Lothar Reichel, Giuseppe Rodriguez

J. Comput. Appl. Math., 2015

Some properties of range restricted GMRES methods.

Mohammed Bellalij, Lothar Reichel, Hassane Sadok

J. Comput. Appl. Math., 2015

Arnoldi methods for image deblurring with anti-reflective boundary conditions.

Marco Donatelli, David R. Martin, Lothar Reichel

Appl. Math. Comput., 2015

2014

Rational Gauss Quadrature.

Miroslav S. Pranic, Lothar Reichel

SIAM J. Numer. Anal., 2014

A modified truncated singular value decomposition method for discrete ill-posed problems.

Silvia Noschese, Lothar Reichel

Numer. Linear Algebra Appl., 2014

Inverse subspace problems with applications.

Silvia Noschese, Lothar Reichel

Numer. Linear Algebra Appl., 2014

Application of denoising methods to regularizationof ill-posed problems.

Tristan A. Hearn, Lothar Reichel

Numer. Algorithms, 2014

Simplified GSVD computations for the solution of linear discrete ill-posed problems.

Laura Dykes, Lothar Reichel

J. Comput. Appl. Math., 2014

Square smoothing regularization matrices with accurate boundary conditions.

Marco Donatelli, Lothar Reichel

J. Comput. Appl. Math., 2014

A General Framework for Nonlinear Regularized Krylov-Based Image Restoration.

Serena Morigi, Lothar Reichel, Fiorella Sgallari

Proceedings of the Computational Modeling of Objects Presented in Images. Fundamentals, Methods, and Applications, 2014

2013

Network Analysis via Partial Spectral Factorization and Gauss Quadrature.

Caterina Fenu, David R. Martin, Lothar Reichel, Giuseppe Rodriguez

SIAM J. Sci. Comput., 2013

Block Gauss and Anti-Gauss Quadrature with Application to Networks.

Caterina Fenu, David R. Martin, Lothar Reichel, Giuseppe Rodriguez

SIAM J. Matrix Anal. Appl., 2013

Recurrence relations for orthogonal rational functions.

Miroslav S. Pranic, Lothar Reichel

Numerische Mathematik, 2013

Tridiagonal Toeplitz matrices: properties and novel applications.

Silvia Noschese, Lionello Pasquini, Lothar Reichel

Numer. Linear Algebra Appl., 2013

Special issue dedicated to Biswa Nath Datta on the occasion of his 70th birthday.

Eric King-Wah Chu, Wen-Wei Lin, Lothar Reichel

Numer. Linear Algebra Appl., 2013

Old and new parameter choice rules for discrete ill-posed problems.

Lothar Reichel, Giuseppe Rodriguez

Numer. Algorithms, 2013

An augmented LSQR method.

James Baglama, Lothar Reichel, Daniel Richmond

Numer. Algorithms, 2013

The structure of matrices in rational Gauss quadrature.

Carl Jagels, Lothar Reichel

Math. Comput., 2013

Projected Tikhonov Regularization of Large-Scale Discrete Ill-Posed Problems.

David R. Martin, Lothar Reichel

J. Sci. Comput., 2013

Extensions of the Justen-Ramlau blind deconvolution method.

Tristan A. Hearn, Lothar Reichel

Adv. Comput. Math., 2013

A Cascadic Alternating Krylov Subspace Image Restoration Method.

Serena Morigi, Lothar Reichel, Fiorella Sgallari

Proceedings of the Scale Space and Variational Methods in Computer Vision, 2013

2012

Generalized circulant Strang-type preconditioners.

Silvia Noschese, Lothar Reichel

Numer. Linear Algebra Appl., 2012

Square regularization matrices for large linear discrete ill-posed problems.

Marco Donatelli, Arthur Neuman, Lothar Reichel

Numer. Linear Algebra Appl., 2012

Innovative methods and theories in numerical algebra.

Zhong-Zhi Bai, Iain S. Duff, Lothar Reichel, Zhong-Ci Shi

Numer. Linear Algebra Appl., 2012

Inverse problems for regularization matrices.

Silvia Noschese, Lothar Reichel

Numer. Algorithms, 2012

Algorithms for range restricted iterative methods for linear discrete ill-posed problems.

Arthur Neuman, Lothar Reichel, Hassane Sadok

Numer. Algorithms, 2012

A new Tikhonov regularization method.

Martin Fuhry, Lothar Reichel

Numer. Algorithms, 2012

On the reduction of Tikhonov minimization problems and the construction of regularization matrices.

Laura Dykes, Lothar Reichel

Numer. Algorithms, 2012

Combining approximate solutions for linear discrete ill-posed problems.

Michiel E. Hochstenbach, Lothar Reichel

J. Comput. Appl. Math., 2012

A generalized global Arnoldi method for ill-posed matrix equations.

Abderrahman Bouhamidi, Khalide Jbilou, Lothar Reichel, Hassane Sadok

J. Comput. Appl. Math., 2012

Inverse problems: Computation and applications.

Abderrahman Bouhamidi, Khalide Jbilou, Ronny Ramlau, Lothar Reichel, Hassane Sadok, Fiorella Sgallari

J. Comput. Appl. Math., 2012

Alternating Krylov subspace image restoration methods.

J. O. Abad, Serena Morigi, Lothar Reichel, Fiorella Sgallari

J. Comput. Appl. Math., 2012

2011

The structured distance to normality of Toeplitz matrices with application to preconditioning.

Silvia Noschese, Lothar Reichel

Numer. Linear Algebra Appl., 2011

2010

Noise-reducing cascadic multilevel methods for linear discrete ill-posed problems.

Serena Morigi, Lothar Reichel, Fiorella Sgallari

Numer. Algorithms, 2010

Cascadic multilevel methods for ill-posed problems.

Lothar Reichel, Andriy Shyshkov

J. Comput. Appl. Math., 2010

An interior-point method for large constrained discrete ill-posed problems.

Serena Morigi, Lothar Reichel, Fiorella Sgallari

J. Comput. Appl. Math., 2010

Subspace-restricted singular value decompositions for linear discrete ill-posed problems.

Michiel E. Hochstenbach, Lothar Reichel

J. Comput. Appl. Math., 2010

Dedication to William B. Gragg on the Occasion of his 70th Birthday.

Greg S. Ammar, Lothar Reichel, Marc Van Barel

J. Comput. Appl. Math., 2010

2009

Error Estimates and Evaluation of Matrix Functions via the Faber Transform.

Bernhard Beckermann, Lothar Reichel

SIAM J. Numer. Anal., 2009

Sensitivity analysis for Szegő polynomials.

Sun-Mi Kim, Lothar Reichel

Numerische Mathematik, 2009

Error estimates for large-scale ill-posed problems.

Lothar Reichel, Giuseppe Rodriguez, Sebastiano Seatzu

Numer. Algorithms, 2009

Vector extrapolation enhanced TSVD for linear discrete ill-posed problems.

Khalide Jbilou, Lothar Reichel, Hassane Sadok

Numer. Algorithms, 2009

Stieltjes-type polynomials on the unit circle.

Bernardo de la Calle Ysern, Guillermo López Lagomasino, Lothar Reichel

Math. Comput., 2009

An Edge-Preserving Multilevel Method for Deblurring, Denoising, and Segmentation.

Serena Morigi, Lothar Reichel, Fiorella Sgallari

Proceedings of the Scale Space and Variational Methods in Computer Vision, 2009

2008

The Arnoldi Process and GMRES for Nearly Symmetric Matrices.

Bernhard Beckermann, Lothar Reichel

SIAM J. Matrix Anal. Appl., 2008

Cascadic Multiresolution Methods for Image Deblurring.

Serena Morigi, Lothar Reichel, Fiorella Sgallari, Andriy Shyshkov

SIAM J. Imaging Sci., 2008

A generalized LSQR algorithm.

Lothar Reichel, Qiang Ye

Numer. Linear Algebra Appl., 2008

2007

Augmented GMRES-type methods.

James Baglama, Lothar Reichel

Numer. Linear Algebra Appl., 2007

Orthogonal projection regularization operators.

Serena Morigi, Lothar Reichel, Fiorella Sgallari

Numer. Algorithms, 2007

Anti-Szego quadrature rules.

Sun-Mi Kim, Lothar Reichel

Math. Comput., 2007

Multigrid based preconditioners for the numerical solution of two-dimensional heterogeneous problems in geophysics.

Lothar Reichel, Hassane Sadok, Andriy Shyshkov

Int. J. Comput. Math., 2007

Computation of Gauss-Kronrod Quadrature Rules.

Gene H. Golub, Daniela Calvetti, William B. Gragg, Lothar Reichel

Proceedings of the Milestones in Matrix Computation, 2007

2006

A truncated projected SVD method for linear discrete ill-posed problems.

Serena Morigi, Lothar Reichel, Fiorella Sgallari

Numer. Algorithms, 2006

Restarted block Lanczos bidiagonalization methods.

James Baglama, Lothar Reichel

Numer. Algorithms, 2006

The relationship between protein sequences and their gene ontology functions.

Zhong-Hui Duan, Brent Hughes, Lothar Reichel, Dianne Perez, Ting Shi

BMC Bioinform., 2006

The Relationship between Protein Sequences and their Gene Ontology Functions.

Zhong-Hui Duan, Brent Hughes, Lothar Reichel, Ting Shi

Proceedings of the Interdisciplinary and Multidisciplinary Research in Computer Science, 2006

2005

Augmented Implicitly Restarted Lanczos Bidiagonalization Methods.

James Baglama, Lothar Reichel

SIAM J. Sci. Comput., 2005

Breakdown-free GMRES for Singular Systems.

Lothar Reichel, Qiang Ye

SIAM J. Matrix Anal. Appl., 2005

Quadrature Rules Based on the Arnoldi Process.

Daniela Calvetti, Sun-Mi Kim, Lothar Reichel

SIAM J. Matrix Anal. Appl., 2005

Tikhonov regularization of large symmetric problems.

Daniela Calvetti, Lothar Reichel, A. Shuibi

Numer. Linear Algebra Appl., 2005

Numerical methods.

Lothar Reichel

Math. Comput., 2005

2004

Tikhonov Regularization with a Solution Constraint.

Daniela Calvetti, Lothar Reichel

SIAM J. Sci. Comput., 2004

L-Curve and Curvature Bounds for Tikhonov Regularization.

Daniela Calvetti, Lothar Reichel, A. Shuibi

Numer. Algorithms, 2004

2003

Algorithm 827: irbleigs: A MATLAB program for computing a few eigenpairs of a large sparse Hermitian matrix.

James Baglama, Daniela Calvetti, Lothar Reichel

ACM Trans. Math. Softw., 2003

IRBL: An Implicitly Restarted Block-Lanczos Method for Large-Scale Hermitian Eigenproblems.

James Baglama, Daniela Calvetti, Lothar Reichel

SIAM J. Sci. Comput., 2003

On the Evaluation of Polynomial Coefficients.

Daniela Calvetti, Lothar Reichel

Numer. Algorithms, 2003

Gauss Quadrature Applied to Trust Region Computations.

Daniela Calvetti, Lothar Reichel

Numer. Algorithms, 2003

2002

On the regularizing properties of the GMRES method.

Daniela Calvetti, Bryan Lewis, Lothar Reichel

Numerische Mathematik, 2002

Lanczos-Based Exponential Filtering for Discrete Ill-Posed Problems.

Daniela Calvetti, Lothar Reichel

Numer. Algorithms, 2002

2001

On the solution of large Sylvester-observer equations.

Daniela Calvetti, Bryan Lewis, Lothar Reichel

Numer. Linear Algebra Appl., 2001

2000

An L-ribbon for large underdetermined linear discrete ill-posed problems.

Daniela Calvetti, Serena Morigi, Lothar Reichel, Fiorella Sgallari

Numer. Algorithms, 2000

Computable error bounds and estimates for the conjugate gradient method.

Daniela Calvetti, Serena Morigi, Lothar Reichel, Fiorella Sgallari

Numer. Algorithms, 2000

Computation of Gauss-Kronrod quadrature rules.

Daniela Calvetti, Gene H. Golub, William B. Gragg, Lothar Reichel

Math. Comput., 2000

1999

Iterative exponential filtering for large discrete ill-posed problems.

Daniela Calvetti, Lothar Reichel, Qin Zhang

Numerische Mathematik, 1999

A block-Lanczos method for large continuation problems.

Daniela Calvetti, Lothar Reichel

Numer. Algorithms, 1999

On an inverse eigenproblem for Jacobi matrices.

Daniela Calvetti, Lothar Reichel

Adv. Comput. Math., 1999

1998

Adaptively Preconditioned GMRES Algorithms.

James Baglama, Daniela Calvetti, Gene H. Golub, Lothar Reichel

SIAM J. Sci. Comput., 1998

1996

Application of ADI Iterative Methods to the Restoration of Noisy Images.

Daniela Calvetti, Lothar Reichel

SIAM J. Matrix Anal. Appl., 1996

A hybrid iterative method for symmetric positive definite linear systems.

Daniela Calvetti, Lothar Reichel

Numer. Algorithms, 1996

An adaptive Richardson iteration method for indefinite linear systems.

Daniela Calvetti, Lothar Reichel

Numer. Algorithms, 1996

1994

Corrigendum: Algorithm 730; An implementation of a divide and conquer algorithm for the unitary eigenproblem.

Greg S. Ammar, Lothar Reichel, Danny C. Sorensen

ACM Trans. Math. Softw., 1994

A fast minimal residual algorithm for shifted unitary matrices.

Carl F. Jagels, Lothar Reichel

Numer. Linear Algebra Appl., 1994

1993

Construction of polynomials that are orthogonal with respect to a discrete bilinear form.

Lothar Reichel

Adv. Comput. Math., 1993

Accuracy Control for Parallel Evaluation of Matrix Rational Functions.

Daniela Calvetti, Efstratios Gallopoulos, Lothar Reichel

Proceedings of the Sixth SIAM Conference on Parallel Processing for Scientific Computing, 1993

1992

An implementation of a divide and conquer algorithm for the unitary eigen problem.

Greg S. Ammar, Lothar Reichel, Danny C. Sorensen

ACM Trans. Math. Softw., 1992

A Hybrid GMRES Algorithm for Nonsymmetric Linear Systems.

Noël M. Nachtigal, Lothar Reichel, Lloyd N. Trefethen

SIAM J. Matrix Anal. Appl., 1992

1991

An Implementation of the GMRES Method Using QR Factorization.

Zhaojun Bai, Dan Hu, Lothar Reichel

Proceedings of the Fifth SIAM Conference on Parallel Processing for Scientific Computing, 1991

1990

Algorithm 686: FORTRAN subroutines for updating the QR decomposition.

Lothar Reichel, William B. Gragg

ACM Trans. Math. Softw., 1990

A Matrix Problem with Application to Rapid Solution of Integral Equations.

Lothar Reichel

SIAM J. Sci. Comput., 1990

1986

A method for preconditioning matrices arising from linear integral equations for elliptic boundary value problems.

Lothar Reichel

Computing, 1986