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- S. Fischer, A. Frommer, U. Glässner
- 1996

A parallelizable SSOR preconditioning scheme for Krylov subspace iterative solvers in lattice QCD applications involving Wilson fermions is presented. In actual Hybrid Monte Carlo simulations and quark propagator calculations it helps to reduce the number of iterations by a factor of 2 compared to conventional odd-even preconditioning. This corresponds to a… (More)

- A. Frommer
- 1996

We review the numerical analysis' understanding of Krylov subspace methods for solving (non-hermitian) systems of equations and discuss its implications for lattice gauge theory computations using the example of the Wilson fermion matrix. Our thesis is that mature methods like QMR, BiCGStab or restarted GMRES are close to optimal for the Wilson fermion… (More)

- A. Frommer, B. Lang
- 12th GAMM - IMACS International Symposium on…
- 2006

The verification of the existence of certain spherical t- designs involves the evaluation of a degree-t polynomial Jt at a very large number of (interval) arguments. To make the overall verification process feasible computationally, this evaluation must be fast, and the enclosures for the function values must be affected with only modest over-estimation. We… (More)

Dagstuhl. During the seminar, several participants presented their current research, and ongoing work and open problems were discussed. Abstracts of the presentations given during the seminar as well as abstracts of seminar results and ideas are put together in this paper. The rst section describes the seminar topics and goals in general. Links to extended… (More)

- A. Frommer, R. Nabben, D. B. Szyld
- 2001

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