The overlap operator as a continued fraction
arXiv:hep-lat/0110070 · doi:10.1016/S0920-5632(01)01835-7
Abstract
We use a continued fraction expansion of the sign-function in order to obtain a five dimensional formulation of the overlap lattice Dirac operator. Within this formulation the inverse of the overlap operator can be calculated by a single Krylov space method where nested conjugate gradient procedures are avoided. We show that the five dimensional linear system can be made well conditioned using equivalence transformations on the continued fractions. This is of significant importance when dynamical overlap fermions are simulated.
3 pages, 1 figure, talk presented by U. Wenger at Lattice2001(chiral)
References in corpus (1)
Cited by in corpus (6)
- Dynamical overlap fermions, results with hybrid Monte-Carlo algorithm
- Algorithms for Lattice QCD with Dynamical Fermions
- Numerical Methods for the QCD Overlap Operator IV: Hybrid Monte Carlo
- Filtered overlap: speedup, locality, kernel non-normality and Z_A~1
- Approximation Theory for Matrices
- The eigSUMR inverter for overlap fermion