アンドレアス・フロマー（Andreas Frommer、1960年 -）は数値解析・数値線形代数などを専門とするドイツの数学者である。

著書・編集

精度保証付き数値計算

 Alefeld, G., Frommer, A., & Lang, B. (1996). Scientific Computing and Validated Numerics: Proceedings of the International Symposium on Scientific Computing, Computer Arithmetic and Validated Numbers Scan-95 Held in Wuppertal, Germany, September 26-29, 1995. John Wiley & Sons, Inc..
 Alt, R., Frommer, A., Kearfott, R. B., & Luther, W. (Eds.). (2004). Numerical Software with Result Verification: International Dagstuhl Seminar, Dagstuhl Castle, Germany, January 19-24, 2003, Revised Papers (Vol. 2991). :en:Springer Science & Business Media.

QCD
 Boriçi, A., Frommer, A., Joó, B., Kennedy, A., & Pendleton, B. (2003, June). QCD and numerical analysis III. In Proceedings of the third international workshop on numerical analysis and lattice QCD, Edinburgh, UK.
 Frommer, A., Lippert, T., Medeke, B., & Schilling, K. (Eds.). (2012). Numerical Challenges in Lattice Quantum Chromodynamics: Joint Interdisciplinary Workshop of John Von Neumann Institute for Computing, Jülich, and Institute of Applied Computer Science, Wuppertal University, August 1999 (Vol. 15). :en:Springer Science & Business Media.

代表的な論文

単著
 BiCGStab (ℓ) for families of shifted linear systems, A Frommer - Computing, 2003.

共著
 Convergence of relaxed parallel multisplitting methods, A Frommer, G Mayer - Linear Algebra and its Applications, 1989.

1990年代
 H-splittings and two-stage iterative methods, A Frommer, DB Szyld - :en:Numerische Mathematik, 1992.
 Accelerating Wilson fermion matrix inversions by means of the stabilized biconjugate gradient algorithm, A Frommer, V Hannemann, B Nöckel, T Lippert et al. - International Journal of Modern Physics C, 1994.
 Asynchronous two-stage iterative methods, A Frommer, DB Szyld - :en:Numerische Mathematik, 1994.
 A parallel SSOR preconditioner for lattice QCD, S Fischer, A Frommer, U Glässner, T Lippert et al. - Computer Physics Communications, 1996.
 Asynchronous weighted additive Schwarz methods, A Frommer, H Schwandt, DB Szyld - Electronic Transactions on Numerical Analysis, 1997.
 Restarted GMRES for shifted linear systems, A Frommer, U Glässner - :en:SIAM Journal on Scientific Computing, 1998.
 Efficient schemes for nearest neighbor load balancing, R Diekmann, A Frommer, B Monien - Parallel computing, 1999.
 Weighted max norms, splittings, and overlapping additive Schwarz iterations, A Frommer, DB Szyld - :en:Numerische Mathematik, 1999.
 Fast CG-Based Methods for Tikhonov--Phillips Regularization, A Frommer, P Maass - :en:SIAM Journal on Scientific Computing, 1999.

2000年代
 On asynchronous iterations, A Frommer, DB Szyld - :en:Journal of Computational and Applied Mathematics, 2000.
 Algebraic theory of multiplicative Schwarz methods, M Benzi, A Frommer, R Nabben, DB Szyld - :en:Numerische Mathematik, 2001.
 An algebraic convergence theory for restricted additive Schwarz methods using weighted max norms, A Frommer, DB Szyld - :en:SIAM Journal on Numerical Analysis, 2001.

2010年代
 Adaptive aggregation-based domain decomposition multigrid for the lattice Wilson--Dirac operator, A Frommer, K Kahl, S Krieg, B Leder, M Rottmann - :en:SIAM Journal on Scientific Computing, 2014.
 Alexandrou, C., Bacchio, S., Finkenrath, J., Frommer, A., Kahl, K., & Rottmann, M. (2016). Adaptive aggregation-based domain decomposition multigrid for twisted mass fermions. Physical Review D, 94(11).
 Brannick, J., Frommer, A., Kahl, K., Leder, B., Rottmann, M., & Strebel, A. (2016). Multigrid preconditioning for the overlap operator in lattice QCD. :en:Numerische Mathematik, 132(3), 463-490.
 Frommer, A., Lund, K., & Szyld, D. B. (2017). Block Krylov subspace methods for functions of matrices. Electronic Transactions on Numerical Analysis, 47, 100-126.
 Frommer, A., Lund, K., Schweitzer, M., & Szyld, D. B. (2017). The Radau-Lanczos Method for Matrix Functions. :en:SIAM Journal on Matrix Analysis and Applications, 38(3), 710-732.

脚注・出典