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Mathematics

D-Index
56
Citations
11576
World Ranking
735
National Ranking
363

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

  • Augmented Implicitly Restarted Lanczos Bidiagonalization Methods

    James Baglama;Lothar Reichel

  • AN IMPLICITLY RESTARTED LANCZOS METHOD FOR LARGE SYMMETRIC EIGENVALUE PROBLEMS

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

  • Krylov-subspace methods for the Sylvester equation

    D.Y. Hu;L. Reichel

  • Tridiagonal Toeplitz matrices: properties and novel applications

    Silvia Noschese;Lionello Pasquini;Lothar Reichel

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

    D. Calvetti;L. Reichel

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

    Lothar Reichel;Giuseppe Rodriguez

  • Adaptively Preconditioned GMRES Algorithms

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

  • Eigenvalues and pseudo-eigenvalues of Toeplitz matrices

    Lothar Reichel;Lloyd N. Trefethen

  • TIKHONOV REGULARIZATION OF LARGE LINEAR PROBLEMS

    Daniela Calvetti;Lothar Reichel

  • A Newton basis GMRES implementation

    Z. Bai;D. Hu;L. Reichel

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

    Bernhard Beckermann;Lothar Reichel

  • A Hybrid GMRES algorithm for nonsymmetric linear systems

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

  • Computation of Gauss-Kronrod of quadrature rules

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

  • Estimation of the L-Curve via Lanczos Bidiagonalization

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

  • Newton interpolation at Leja points

    L. Reichel

  • On the regularizing properties of the GMRES method

    Daniela Calvetti;Bryan Lewis;Lothar Reichel

  • GMRES-type methods for inconsistent systems

    D. Calvetti;B. Lewis;L. Reichel

  • A new Tikhonov regularization method

    Martin Fuhry;Lothar Reichel

  • GMRES, L-Curves, and Discrete Ill-Posed Problems

    D. Calvetti;B. Lewis;L. Reichel

  • Fast Leja points.

    J. Baglama;D. Calvetti;L. Reichel

Frequent Co-Authors

Daniela Calvetti
Daniela Calvetti Case Western Reserve University
Gene H. Golub
Gene H. Golub Stanford University
Zhong-Zhi Bai
Zhong-Zhi Bai Chinese Academy of Sciences
Francisco Marcellán
Francisco Marcellán Carlos III University of Madrid
Lloyd N. Trefethen
Lloyd N. Trefethen University of Oxford
Robert J. Plemmons
Robert J. Plemmons Wake Forest University
Danny C. Sorensen
Danny C. Sorensen Rice University
Iain S. Duff
Iain S. Duff Rutherford Appleton Laboratory
Yousef Saad
Yousef Saad University of Minnesota
Oleg D. Lavrentovich
Oleg D. Lavrentovich Kent State University

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