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Titlebook: QCD and Numerical Analysis III; Proceedings of the T Artan Bori~i,Andreas Frommer,Brian Pendleton Conference proceedings 2005 Springer-Verl

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What Can Lattice QCD Theorists Learn from NMR Spectroscopists? used in other disciplines [22, 16, 18]. This process has shown that the techniques widely used elsewhere may also be useful in analyzing LQCD data. It seems that we are in such a period now with many groups trying what are generally called Bayesian methods such as Maximal Entropy (MEM) or constrain
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Fast Evaluation of Zolotarev Coefficients-geometric mean allows us to evaluate elliptic functions cheaply, and thus to compute Zolotarev coefficients “on the fly” as a function of ε. This in turn allows us to calculate the matrix functions sgn., ., and . both quickly and accurately for any Hermitian matrix . whose spectrum lies in the spec
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Computational Methods for the Fermion Determinant and the Link Between Overlap and Domain Wall Fermi. We review the multigrid algorithm to invert the overlap operator. It is described here as a preconditioned Jacobi iteration where the preconditioner is the Schur complement of a certain block of the truncated overlap matrix.
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A Modular Iterative Solver Package in a Categorical Languageesign of this toolkit, we present here a summary of our initial investigations into automatic compiler optimisations of the code for the algorithms built from these parts. These optimisations are intended to mitigate the inefficiency introduced by modularity.
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Iterative Linear System Solvers with Approximate Matrix-vector Productsted in research efforts to study the effect of errors in the matrix-vector products on iterative linear system solvers. In this paper we give a very general and abstract discussion on this issue and try to provide insight into why some iterative system solvers are more sensitive than others.
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Numerical Methods for the QCD Overlap Operator: II. Optimal Krylov SubspaceMethodstary version of Neuberger’s operator, and show that this method is in a sense the optimal choice for propagator computations. When solving the “squared” equations in a dynamical simulation with two degenerate flavours, it turns out that the CG method should be used.
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A Finite Baryon Density Algorithmaccommodate unbiased estimate of the probability. Finally, I will propose a Hybrid Noisy Monte Carlo algorithm to reduce the large fluctuation in the estimated Tr log due to the gauge field which should improve the acceptance rate. Other application such as treating . and . as two separate flavors is discussed.
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