ISBN: 3540677321
TITLE: Numerical Challenges in Lattice Quantum Chromodynamics
AUTHOR: Frommer, Andreas; Lippert, Thomas; Medeke, Bjoern; Schilling, Klaus (Eds.)
TOC

Overlap Fermions and Matrix Functions
The Overlap Dirac Operator 1
Herbert Neuberger
Solution of f(A)x = b with Projection Methods for the Matrix A 18
Henk A. van der Vorst
A Numerical Treatment of Neuberger's Lattice Dirac Operator 29
Pilar Hernndez, Karl Jansen, Laurent Lellouch
Fast Methods for Computing the Neuberger Operator 40
Artan Borii
Light Quarks, Lanczos and Multigrid Techniques
On Lanczos-Type Methods for Wilson Fermions 48
Martin H. Gutknecht
An Algebraic Multilevel Preconditioner for Symmetric Positive Definite
and Indefinite Problems 66
Arnold Reusken
On Algebraic Multilevel Preconditioning 84
Yvan Notay
On Algebraic Multilevel Preconditioners in Lattice Gauge Theory 99
Bjrn Medeke
Flavor Singlet Operators and Matrix Functionals
Stochastic Estimator Techniques for Disconnected Diagrams 115
Stephan Gsken
Noise Methods for Flavor Singlet Quantities 127
Walter Wilcox
Novel Numerical Techniques for Full QCD
A Noisy Monte Carlo Algorithm with Fermion Determinant 142
Keh-Fei Liu
Least-Squares Optimized Polynomials for Fermion Simulations 153
Istvn Montvay
One-Flavour Hybrid Monte Carlo with Wilson Fermions 166
Thomas Lippert
Author Index 177
Subject Index 178
END
