2004/02/26 by Artan Boriçi, Artan Borici, Borici, Artan · 1 citation
Chemistry · Computer Science · Physics and Astronomy · #Advanced NMR Techniques and Applications #Electromagnetic Scattering and Analysis #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #Matrix Theory and Algorithms #hep-lat
paper · pdf · doi:10.48550/arxiv.hep-lat/0402035
Talk given at the Third International Workshop on Numerical Analysis and Lattice QCD held in Edinburgh, June-July 2003. 15 pages, 1 figure
arxiv created 2004/02/26 · openalex publication_date 2004/02/26 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This paper reviews the most popular methods which are used in lattice QCD to compute the determinant of the lattice Dirac operator: Gaussian integral representation and noisy methods. Both of them lead naturally to matrix function problems. We review the most recent development in Krylov subspace evaluation of matrix functions. The second part of the paper reviews the formal relationship and algebraic structure of domain wall and overlap fermions. 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.