2026 Lothar Reichel: Mathematics Researcher – H-Index, Publications & Awards

Discipline name	D-Index	World Ranking	Current World Ranking	National Ranking	Current National Ranking	Publications	Citations
Mathematics	56	735	628	363	289	365	11576

Lothar Reichel publication distribution in Mathematics in 2026

The chart shows the distribution of publications by all Research.com ranked scientists in the field of Mathematics in 2026. The highlighted bar marks where Lothar Reichel sits on this spectrum.

42 publications 537+

This scientist: 365 publications — 92nd percentile

92% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 537 publications or more.

Lothar Reichel D-index placement in Mathematics in 2026

The chart shows the D-index (discipline H-index) distribution of Mathematics scientists ranked by Research.com in 2026. The highlighted bar marks where Lothar Reichel sits on this spectrum.

30 D-Index 86+

This scientist: 56 D-Index — 80th percentile

80% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 86 D-Index or more.

Overview

Lothar Reichel is affiliated with Kent State University in the United States. Their research spans multiple fields with a significant focus on mathematics, computer science, and physics and astronomy. Within these broad areas, their work extensively covers several subfields, including computational theory and mathematics, statistical and nonlinear physics, mathematical physics, atomic and molecular physics and optics, and applied mathematics.

The scientist's research interests are reflected in the main topics they have contributed to over the years. These include matrix theory and algorithms, numerical methods in inverse problems, electromagnetic scattering and analysis, complex network analysis techniques, iterative methods for nonlinear equations, mathematical functions and polynomials, and sparse and compressive sensing techniques.

Lothar Reichel has published in various journals, frequently contributing to the following publication venues:

Applied Numerical Mathematics
Journal of Computational and Applied Mathematics
arXiv (Cornell University)
Numerical Algorithms
Numerical Linear Algebra with Applications

Their recent papers demonstrate a strong engagement with numerical methods and tensor equations, including but not limited to:

"Iterative Tikhonov regularization of tensor equations based on the Arnoldi process and some of its generalizations," 2020, Applied Numerical Mathematics
"Golub-Kahan bidiagonalization for ill-conditioned tensor equations with applications," 2020, Numerical Algorithms
"Averaged Gauss quadrature formulas: Properties and applications," 2022, Journal of Computational and Applied Mathematics
"A new representation of generalized averaged Gauss quadrature rules," 2020, Applied Numerical Mathematics
"The tensor Golub-Kahan-Tikhonov method applied to the solution of ill-posed problems with a t-product structure," 2021, Numerical Linear Algebra with Applications

Collaboration is a notable aspect of their academic work. Frequent co-authors include Silvia Noschese, Alessandro Buccini, Miodrag M. Spalević, Omar De la Cruz Cabrera, and Dušan Lj. Djukić.

Best Publications

Tikhonov regularization and the L-curve for large discrete ill-posed problems

D. Calvetti;S. Morigi;L. Reichel;F. Sgallari

659
Citations
Augmented Implicitly Restarted Lanczos Bidiagonalization Methods

James Baglama;Lothar Reichel

407
Citations
AN IMPLICITLY RESTARTED LANCZOS METHOD FOR LARGE SYMMETRIC EIGENVALUE PROBLEMS

D. Calvetti;L. Reichel;D. C. Sorensen

387
Citations
Krylov-subspace methods for the Sylvester equation

D.Y. Hu;L. Reichel

306
Citations
Tridiagonal Toeplitz matrices: properties and novel applications

Silvia Noschese;Lionello Pasquini;Lothar Reichel

250
Citations
Application of ADI Iterative Methods to the Restoration of Noisy Images

D. Calvetti;L. Reichel

232
Citations
Old and new parameter choice rules for discrete ill-posed problems

Lothar Reichel;Giuseppe Rodriguez

230
Citations
Adaptively Preconditioned GMRES Algorithms

J. Baglama;D. Calvetti;G. H. Golub;L. Reichel

229
Citations
Eigenvalues and pseudo-eigenvalues of Toeplitz matrices

Lothar Reichel;Lloyd N. Trefethen

226
Citations
TIKHONOV REGULARIZATION OF LARGE LINEAR PROBLEMS

Daniela Calvetti;Lothar Reichel

197
Citations
A Newton basis GMRES implementation

Z. Bai;D. Hu;L. Reichel

188
Citations
Error Estimates and Evaluation of Matrix Functions via the Faber Transform

Bernhard Beckermann;Lothar Reichel

187
Citations
A Hybrid GMRES algorithm for nonsymmetric linear systems

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

183
Citations
Computation of Gauss-Kronrod of quadrature rules

D. Calvetti;G. H. Golub;W. B. Gragg;L. Reichel

182
Citations
Estimation of the L-Curve via Lanczos Bidiagonalization

D. Calvetti;G. H. Golub;L. Reichel

172
Citations
Newton interpolation at Leja points

L. Reichel

170
Citations
On the regularizing properties of the GMRES method

Daniela Calvetti;Bryan Lewis;Lothar Reichel

136
Citations
GMRES-type methods for inconsistent systems

D. Calvetti;B. Lewis;L. Reichel

122
Citations
A new Tikhonov regularization method

Martin Fuhry;Lothar Reichel

122
Citations
GMRES, L-Curves, and Discrete Ill-Posed Problems

D. Calvetti;B. Lewis;L. Reichel

113
Citations
Fast Leja points.

J. Baglama;D. Calvetti;L. Reichel

105
Citations

Frequent Co-Authors

Daniela Calvetti Case Western Reserve University

Gene H. Golub Stanford University

Zhong-Zhi Bai Chinese Academy of Sciences

Francisco Marcellán Carlos III University of Madrid

Lloyd N. Trefethen University of Oxford

Robert J. Plemmons Wake Forest University

Danny C. Sorensen Rice University

Iain S. Duff Rutherford Appleton Laboratory

Yousef Saad University of Minnesota

Oleg D. Lavrentovich Kent State University

External Links

Personal website of Lothar Reichel Google Scholar page

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