Lothar Reichel

Orcid: 0000-0003-1729-6816

Affiliations:
  • Kent State University, Kent, OH, USA


According to our database1, Lothar Reichel authored at least 190 papers between 1986 and 2024.

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Bibliography

2024
Enhancing multiplex global efficiency.
Numer. Algorithms, May, 2024

Error estimates for quadrature rules based on the Arnoldi process.
J. Comput. Appl. Math., May, 2024

Averaged Nyström interpolants for the solution of Fredholm integral equations of the second kind.
Appl. Math. Comput., April, 2024

A tensor bidiagonalization method for higher-order singular value decomposition with applications.
Numer. Linear Algebra Appl., March, 2024

Decompositions of optimal averaged Gauss quadrature rules.
J. Comput. Appl. Math., March, 2024

Radau- and Lobatto-type averaged Gauss rules.
J. Comput. Appl. Math., February, 2024

Network analysis with the aid of the path length matrix.
Numer. Algorithms, January, 2024

2023
An Efficient Implementation of the Gauss-Newton Method Via Generalized Krylov Subspaces.
J. Sci. Comput., November, 2023

Variable selection in saturated and supersaturated designs via lp-lq minimization.
Commun. Stat. Simul. Comput., September, 2023

Solution of ill-posed problems with Chebfun.
Numer. Algorithms, April, 2023

Limited memory restarted ℓ<sup>p</sup>-ℓ<sup>q</sup> minimization methods using generalized Krylov subspaces.
Adv. Comput. Math., April, 2023

Pole Allocation for Rational Gauss Quadrature Rules for Matrix Functionals Defined by a Stieltjes Function.
Axioms, February, 2023

Adaptive cross approximation for Tikhonov regularization in general form.
Numer. Algorithms, January, 2023

Perron communicability and sensitivity of multilayer networks.
Numer. Algorithms, January, 2023

Internality of generalized averaged Gauss quadrature rules and truncated variants for modified Chebyshev measures of the third and fourth kinds.
Numer. Algorithms, January, 2023

An Arnoldi-based preconditioner for iterated Tikhonov regularization.
Numer. Algorithms, January, 2023

The global Golub-Kahan method and Gauss quadrature for tensor function approximation.
Numer. Algorithms, January, 2023

Numerical considerations of block GMRES methods when applied to linear discrete ill-posed problems.
J. Comput. Appl. Math., 2023

Recent advances in the numerical solution of matrix problems.
J. Comput. Appl. Math., 2023

Theoretical and numerical aspects of a non-stationary preconditioned iterative method for linear discrete ill-posed problems.
J. Comput. Appl. Math., 2023

Convergence analysis and parameter estimation for the iterated Arnoldi-Tikhonov method.
CoRR, 2023

Spectral computation with third-order tensors using the t-product.
CoRR, 2023

2022
Rational gauss quadrature rules for the approximation of matrix functionals involving stieltjes functions.
Numerische Mathematik, 2022

The tensor Golub-Kahan-Tikhonov method applied to the solution of ill-posed problems with a t-product structure.
Numer. Linear Algebra Appl., 2022

Estimating and increasing the structural robustness of a network.
Numer. Linear Algebra Appl., 2022

Tensor Arnoldi-Tikhonov and GMRES-Type Methods for Ill-Posed Problems with a t-Product Structure.
J. Sci. Comput., 2022

Weighted tensor Golub-Kahan-Tikhonov-type methods applied to image processing using a t-product.
J. Comput. Appl. Math., 2022

Averaged Gauss quadrature formulas: Properties and applications.
J. Comput. Appl. Math., 2022

The extended symmetric block Lanczos method for matrix-valued Gauss-type quadrature rules.
J. Comput. Appl. Math., 2022

A tensor formalism for multilayer network centrality measures using the Einstein product.
CoRR, 2022

On the banded Toeplitz structured distance to symmetric positive semidefiniteness.
CoRR, 2022

Chained structure of directed graphs with applications to social and transportation networks.
Appl. Netw. Sci., 2022

SoftNet: A Package for the Analysis of Complex Networks.
Algorithms, 2022

2021
A new nonstationary preconditioned iterative method for linear discrete ill-posed problems with application to image deblurring.
Numer. Linear Algebra Appl., 2021

On the block Lanczos and block Golub-Kahan reduction methods applied to discrete ill-posed problems.
Numer. Linear Algebra Appl., 2021

Centrality measures for node-weighted networks via line graphs and the matrix exponential.
Numer. Algorithms, 2021

Generalized cross validation for ℓ<sup>p</sup>-ℓ<sup>q</sup> minimization.
Numer. Algorithms, 2021

Linearized Krylov subspace Bregman iteration with nonnegativity constraint.
Numer. Algorithms, 2021

Gauss-Laurent-type quadrature rules for the approximation of functionals of a nonsymmetric matrix.
Numer. Algorithms, 2021

The extended global Lanczos method, Gauss-Radau quadrature, and matrix function approximation.
J. Comput. Appl. Math., 2021

New matrix function approximations and quadrature rules based on the Arnoldi process.
J. Comput. Appl. Math., 2021

Lanczos-based fast blind deconvolution methods.
J. Comput. Appl. Math., 2021

Internality of generalized averaged Gauss quadrature rules and truncated variants for modified Chebyshev measures of the first kind.
J. Comput. Appl. Math., 2021

New models for multi-class networks.
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].
J. Comput. Appl. Math., 2021

Computation of error bounds via generalized Gauss-Radau and Gauss-Lobatto rules.
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.
CoRR, 2021

Communication in Complex Networks.
CoRR, 2021

Chained graphs and some applications.
Appl. Netw. Sci., 2021

Block matrix models for dynamic networks.
Appl. Math. Comput., 2021

Estimating the error in matrix function approximations.
Adv. Comput. Math., 2021

Solution of linear discrete ill-posed problems by discretized Chebyshev expansion.
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<sup>p</sup>-ℓ<sup>q</sup> Minimization.
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.
Numer. Algorithms, 2020

Edge importance in a network via line graphs and the matrix exponential.
Numer. Algorithms, 2020

Golub-Kahan bidiagonalization for ill-conditioned tensor equations with applications.
Numer. Algorithms, 2020

A spectral method for bipartizing a network and detecting a large anti-community.
J. Comput. Appl. Math., 2020

An ℓp-ℓq minimization method with cross-validation for the restoration of impulse noise contaminated images.
J. Comput. Appl. Math., 2020

Generalized singular value decomposition with iterated Tikhonov regularization.
J. Comput. Appl. Math., 2020

Comparison of A-posteriori parameter choice rules for linear discrete ill-posed problems.
J. Comput. Appl. Math., 2020

Numerical Analysis and Scientific Computation (NASCA18).
J. Comput. Appl. Math., 2020

Continuous Adaptive Cross Approximation for Ill-posed Problems with Chebfun.
CoRR, 2020

Functions and eigenvectors of partially known matrices with applications to network analysis.
CoRR, 2020

2019
Optimally Conditioned Vandermonde-Like Matrices.
SIAM J. Matrix Anal. Appl., 2019

Generalized block anti-Gauss quadrature rules.
Numerische Mathematik, 2019

Eigenvector sensitivity under general and structured perturbations of tridiagonal Toeplitz-type matrices.
Numer. Linear Algebra Appl., 2019

Fast factorization of rectangular Vandermonde matrices with Chebyshev nodes.
Numer. Algorithms, 2019

On the choice of subspace for large-scale Tikhonov regularization problems in general form.
Numer. Algorithms, 2019

An ℓ<sup>2</sup>-ℓ<sup>q</sup> Regularization Method for Large Discrete Ill-Posed Problems.
J. Sci. Comput., 2019

Computing unstructured and structured polynomial pseudospectrum approximations.
J. Comput. Appl. Math., 2019

Internality of generalized averaged Gaussian quadrature rules and truncated variants for modified Chebyshev measures of the second kind.
J. Comput. Appl. Math., 2019

Analysis of directed networks via the matrix exponential.
J. Comput. Appl. Math., 2019

On the Golub-Kahan bidiagonalization for ill-posed tensor equations with applications to color image restoration.
CoRR, 2019

2018
Regularization matrices for discrete ill-posed problems in several space dimensions.
Numer. Linear Algebra Appl., 2018

Editorial: Novel methods and theories in numerical algebra with interdisciplinary applications.
Numer. Linear Algebra Appl., 2018

Simplified anti-Gauss quadrature rules with applications in linear algebra.
Numer. Algorithms, 2018

Parameter determination for Tikhonov regularization problems in general form.
J. Comput. Appl. Math., 2018

Simple efficient solvers for certain ill-conditioned systems of linear equations, including H(div) problems.
J. Comput. Appl. Math., 2018

Numerical aspects of the nonstationary modified linearized Bregman algorithm.
Appl. Math. Comput., 2018

2017
Approximated structured pseudospectra.
Numer. Linear Algebra Appl., 2017

Iterated Tikhonov regularization with a general penalty term.
Numer. Linear Algebra Appl., 2017

On the computation of a truncated SVD of a large linear discrete ill-posed problem.
Numer. Algorithms, 2017

Circulant preconditioners for discrete ill-posed Toeplitz systems.
Numer. Algorithms, 2017

New zero-finders for trust-region computations.
Numer. Algorithms, 2017

Fractional Tikhonov regularization with a nonlinear penalty term.
J. Comput. Appl. Math., 2017

Generalized averaged Szegő quadrature rules.
J. Comput. Appl. Math., 2017

Global Golub-Kahan bidiagonalization applied to large discrete ill-posed problems.
J. Comput. Appl. Math., 2017

Modulus-based iterative methods for constrained Tikhonov regularization.
J. Comput. Appl. Math., 2017

2016
A rational Arnoldi process with applications.
Numer. Linear Algebra Appl., 2016

On the Lanczos and Golub-Kahan reduction methods applied to discrete ill-posed problems.
Numer. Linear Algebra Appl., 2016

GCV for Tikhonov regularization via global Golub-Kahan decomposition.
Numer. Linear Algebra Appl., 2016

On the choice of solution subspace for nonstationary iterated Tikhonov regularization.
Numer. Algorithms, 2016

Adaptive cross approximation for ill-posed problems.
J. Comput. Appl. Math., 2016

Truncated generalized averaged Gauss quadrature rules.
J. Comput. Appl. Math., 2016

A global Lanczos method for image restoration.
J. Comput. Appl. Math., 2016

2015
A Generalized Krylov Subspace Method for ℓ<sub>p</sub>-ℓ<sub>q</sub> Minimization.
SIAM J. Sci. Comput., 2015

Rescaling the GSVD with application to ill-posed problems.
Numer. Algorithms, 2015

A Golub-Kahan-Type Reduction Method for Matrix Pairs.
J. Sci. Comput., 2015

Generalized anti-Gauss quadrature rules.
J. Comput. Appl. Math., 2015

On the computation of Gauss quadrature rules for measures with a monomial denominator.
J. Comput. Appl. Math., 2015

Regularization parameter determination for discrete ill-posed problems.
J. Comput. Appl. Math., 2015

Some properties of range restricted GMRES methods.
J. Comput. Appl. Math., 2015

Arnoldi methods for image deblurring with anti-reflective boundary conditions.
Appl. Math. Comput., 2015

2014
Rational Gauss Quadrature.
SIAM J. Numer. Anal., 2014

A modified truncated singular value decomposition method for discrete ill-posed problems.
Numer. Linear Algebra Appl., 2014

Inverse subspace problems with applications.
Numer. Linear Algebra Appl., 2014

Application of denoising methods to regularizationof ill-posed problems.
Numer. Algorithms, 2014

Simplified GSVD computations for the solution of linear discrete ill-posed problems.
J. Comput. Appl. Math., 2014

Square smoothing regularization matrices with accurate boundary conditions.
J. Comput. Appl. Math., 2014

A General Framework for Nonlinear Regularized Krylov-Based Image Restoration.
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.
SIAM J. Sci. Comput., 2013

Block Gauss and Anti-Gauss Quadrature with Application to Networks.
SIAM J. Matrix Anal. Appl., 2013

Recurrence relations for orthogonal rational functions.
Numerische Mathematik, 2013

Tridiagonal Toeplitz matrices: properties and novel applications.
Numer. Linear Algebra Appl., 2013

Special issue dedicated to Biswa Nath Datta on the occasion of his 70th birthday.
Numer. Linear Algebra Appl., 2013

Old and new parameter choice rules for discrete ill-posed problems.
Numer. Algorithms, 2013

An augmented LSQR method.
Numer. Algorithms, 2013

The structure of matrices in rational Gauss quadrature.
Math. Comput., 2013

Projected Tikhonov Regularization of Large-Scale Discrete Ill-Posed Problems.
J. Sci. Comput., 2013

Extensions of the Justen-Ramlau blind deconvolution method.
Adv. Comput. Math., 2013

A Cascadic Alternating Krylov Subspace Image Restoration Method.
Proceedings of the Scale Space and Variational Methods in Computer Vision, 2013

2012
Generalized circulant Strang-type preconditioners.
Numer. Linear Algebra Appl., 2012

Square regularization matrices for large linear discrete ill-posed problems.
Numer. Linear Algebra Appl., 2012

Innovative methods and theories in numerical algebra.
Numer. Linear Algebra Appl., 2012

Inverse problems for regularization matrices.
Numer. Algorithms, 2012

Algorithms for range restricted iterative methods for linear discrete ill-posed problems.
Numer. Algorithms, 2012

A new Tikhonov regularization method.
Numer. Algorithms, 2012

On the reduction of Tikhonov minimization problems and the construction of regularization matrices.
Numer. Algorithms, 2012

Combining approximate solutions for linear discrete ill-posed problems.
J. Comput. Appl. Math., 2012

A generalized global Arnoldi method for ill-posed matrix equations.
J. Comput. Appl. Math., 2012

Inverse problems: Computation and applications.
J. Comput. Appl. Math., 2012

Alternating Krylov subspace image restoration methods.
J. Comput. Appl. Math., 2012

2011
The structured distance to normality of Toeplitz matrices with application to preconditioning.
Numer. Linear Algebra Appl., 2011

2010
Noise-reducing cascadic multilevel methods for linear discrete ill-posed problems.
Numer. Algorithms, 2010

Cascadic multilevel methods for ill-posed problems.
J. Comput. Appl. Math., 2010

An interior-point method for large constrained discrete ill-posed problems.
J. Comput. Appl. Math., 2010

Subspace-restricted singular value decompositions for linear discrete ill-posed problems.
J. Comput. Appl. Math., 2010

Dedication to William B. Gragg on the Occasion of his 70th Birthday.
J. Comput. Appl. Math., 2010

2009
Error Estimates and Evaluation of Matrix Functions via the Faber Transform.
SIAM J. Numer. Anal., 2009

Sensitivity analysis for Szegő polynomials.
Numerische Mathematik, 2009

Error estimates for large-scale ill-posed problems.
Numer. Algorithms, 2009

Vector extrapolation enhanced TSVD for linear discrete ill-posed problems.
Numer. Algorithms, 2009

Stieltjes-type polynomials on the unit circle.
Math. Comput., 2009

An Edge-Preserving Multilevel Method for Deblurring, Denoising, and Segmentation.
Proceedings of the Scale Space and Variational Methods in Computer Vision, 2009

2008
The Arnoldi Process and GMRES for Nearly Symmetric Matrices.
SIAM J. Matrix Anal. Appl., 2008

Cascadic Multiresolution Methods for Image Deblurring.
SIAM J. Imaging Sci., 2008

A generalized LSQR algorithm.
Numer. Linear Algebra Appl., 2008

2007
Augmented GMRES-type methods.
Numer. Linear Algebra Appl., 2007

Orthogonal projection regularization operators.
Numer. Algorithms, 2007

Anti-Szego quadrature rules.
Math. Comput., 2007

Multigrid based preconditioners for the numerical solution of two-dimensional heterogeneous problems in geophysics.
Int. J. Comput. Math., 2007

Computation of Gauss-Kronrod Quadrature Rules.
Proceedings of the Milestones in Matrix Computation, 2007

2006
A truncated projected SVD method for linear discrete ill-posed problems.
Numer. Algorithms, 2006

Restarted block Lanczos bidiagonalization methods.
Numer. Algorithms, 2006

The relationship between protein sequences and their gene ontology functions.
BMC Bioinform., 2006

The Relationship between Protein Sequences and their Gene Ontology Functions.
Proceedings of the Interdisciplinary and Multidisciplinary Research in Computer Science, 2006

2005
Augmented Implicitly Restarted Lanczos Bidiagonalization Methods.
SIAM J. Sci. Comput., 2005

Breakdown-free GMRES for Singular Systems.
SIAM J. Matrix Anal. Appl., 2005

Quadrature Rules Based on the Arnoldi Process.
SIAM J. Matrix Anal. Appl., 2005

Tikhonov regularization of large symmetric problems.
Numer. Linear Algebra Appl., 2005

Numerical methods.
Math. Comput., 2005

2004
Tikhonov Regularization with a Solution Constraint.
SIAM J. Sci. Comput., 2004

L-Curve and Curvature Bounds for Tikhonov Regularization.
Numer. Algorithms, 2004

2003
Algorithm 827: irbleigs: A MATLAB program for computing a few eigenpairs of a large sparse Hermitian matrix.
ACM Trans. Math. Softw., 2003

IRBL: An Implicitly Restarted Block-Lanczos Method for Large-Scale Hermitian Eigenproblems.
SIAM J. Sci. Comput., 2003

On the Evaluation of Polynomial Coefficients.
Numer. Algorithms, 2003

Gauss Quadrature Applied to Trust Region Computations.
Numer. Algorithms, 2003

2002
On the regularizing properties of the GMRES method.
Numerische Mathematik, 2002

Lanczos-Based Exponential Filtering for Discrete Ill-Posed Problems.
Numer. Algorithms, 2002

2001
On the solution of large Sylvester-observer equations.
Numer. Linear Algebra Appl., 2001

2000
An L-ribbon for large underdetermined linear discrete ill-posed problems.
Numer. Algorithms, 2000

Computable error bounds and estimates for the conjugate gradient method.
Numer. Algorithms, 2000

Computation of Gauss-Kronrod quadrature rules.
Math. Comput., 2000

1999
Iterative exponential filtering for large discrete ill-posed problems.
Numerische Mathematik, 1999

A block-Lanczos method for large continuation problems.
Numer. Algorithms, 1999

On an inverse eigenproblem for Jacobi matrices.
Adv. Comput. Math., 1999

1998
Adaptively Preconditioned GMRES Algorithms.
SIAM J. Sci. Comput., 1998

1996
Application of ADI Iterative Methods to the Restoration of Noisy Images.
SIAM J. Matrix Anal. Appl., 1996

A hybrid iterative method for symmetric positive definite linear systems.
Numer. Algorithms, 1996

An adaptive Richardson iteration method for indefinite linear systems.
Numer. Algorithms, 1996

1994
Corrigendum: Algorithm 730; An implementation of a divide and conquer algorithm for the unitary eigenproblem.
ACM Trans. Math. Softw., 1994

A fast minimal residual algorithm for shifted unitary matrices.
Numer. Linear Algebra Appl., 1994

1993
Construction of polynomials that are orthogonal with respect to a discrete bilinear form.
Adv. Comput. Math., 1993

Accuracy Control for Parallel Evaluation of Matrix Rational Functions.
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.
ACM Trans. Math. Softw., 1992

A Hybrid GMRES Algorithm for Nonsymmetric Linear Systems.
SIAM J. Matrix Anal. Appl., 1992

1991
An Implementation of the GMRES Method Using QR Factorization.
Proceedings of the Fifth SIAM Conference on Parallel Processing for Scientific Computing, 1991

1990
Algorithm 686: FORTRAN subroutines for updating the QR decomposition.
ACM Trans. Math. Softw., 1990

A Matrix Problem with Application to Rapid Solution of Integral Equations.
SIAM J. Sci. Comput., 1990

1986
A method for preconditioning matrices arising from linear integral equations for elliptic boundary value problems.
Computing, 1986


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