Lothar Reichel

Computational Theory and Mathematics · 2000–2015

A researcher in the Science corpus: 17 papers; trusts 17 researchers and is trusted by 16 researchers here, as inferred from the citation graph.

Subfields

• Computational Theory and Mathematics — 13 citations into it; #3,566 of 12,182 by trust here, #4,059 by citations
• Numerical Methods & Scientific Computing — 12 citations into it
• Atomic and Molecular Physics, and Optics — 11 citations into it
• Mathematical Physics — 9 citations into it; #3,967 of 8,562 by trust here, #2,038 by citations
• Computational Mechanics — 7 citations into it; #6,063 of 10,001 by trust here, #7,884 by citations
• Mechanics of Materials — 5 citations into it

Whom Lothar Reichel trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Daniela Calvetti
2. Per Christian Hansen
3. Bryan Lewis
4. Danny C. Sorensen
5. Y. Saad
6. Nicholas John Higham
7. Valeria Simoncini
8. C. Paige
9. Misha Elena Kilmer
10. Heinz W. Engl

Who trusts Lothar Reichel overall

1. Bryan Lewis
2. Martin Stoll
3. Michiel E. Hochstenbach
4. Daniela Calvetti
5. Per Christian Hansen
6. Peter Bhlmann
7. N. Benjamin Erichson
8. Fiorella Sgallari
9. Andrew W. Butler
10. Xiaojie Qiu

Papers from Lothar Reichel's perspective

Ordered by how strongly the researchers Lothar Reichel trusts endorse each paper. Same corpus, a different order for every researcher.

1. Tikhonov regularization and the L-curve for large discrete ill-posed problems
2. GMRES, L-Curves, and Discrete Ill-Posed Problems
3. Algorithm 583: LSQR: Sparse Linear Equations and Least Squares Problems
4. Numerical methods for large eigenvalue problems (Acta Numerica)
5. Invertible smoothing preconditioners for linear discrete ill-posed problems
6. ARPACK users' guide - solution of large-scale eigenvalue problems with implicitly restarted Arnoldi methods
7. A New Iterative Method for Solving Large-Scale Lyapunov Matrix Equations (SIAM Journal on Scientific Computing)
8. DECAY BOUNDS AND ( ) ALGORITHMS FOR APPROXIMATING FUNCTIONS OF SPARSE MATRICES
9. Functions Of Matrices
10. Spline Models for Observational Data

Their papers

• Augmented Implicitly Restarted Lanczos Bidiagonalization Methods (2005) — 357 citations
• Invertible smoothing preconditioners for linear discrete ill-posed problems (2005) — 58 citations
• GMRES, L-Curves, and Discrete Ill-Posed Problems (2002) — 88 citations
• GMRES-type methods for inconsistent systems (2000) — 94 citations
• On fractional Tikhonov regularization (2015) — 52 citations
• Tikhonov regularization based on generalized Krylov subspace methods (2012) — 67 citations
• Large-scale Tikhonov regularization via reduction by orthogonal projection (2012) — 66 citations
• Fractional Tikhonov regularization for linear discrete ill-posed problems (2011) — 97 citations
• An iterative method for Tikhonov regularization with a general linear regularization operator (2010) — 64 citations
• The extended Krylov subspace method and orthogonal Laurent polynomials (2009) — 50 citations
• Arnoldi-Tikhonov regularization methods (2009) — 77 citations
• A new L-curve for ill-posed problems (2008) — 54 citations
• Iterative methods for ill-posed problems and semiconvergent sequences (2006) — 67 citations
• Non-negativity and iterative methods for ill-posed problems (2004) — 55 citations
• Tikhonov Regularization of Large Linear Problems (2003) — 156 citations
• On the Choice of Subspace for Iterative Methods for Linear Discrete Ill-Posed Problems (2001) — 76 citations
• Tikhonov regularization and the L-curve for large discrete ill-posed problems (2000) — 528 citations