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Spectral Analysis for HSS Preconditioners
Authors:Lung Chak Chan  Michael K.Ng  Nam Kiu Tsing
Affiliation:1. Department of Mathematics, The University of Hong Kong, Pokfulam Road,Hong Kong
2. Department of Mathematics, Hong Kong Baptist University, Kowloon Tong, Hong Kong
Abstract:In this paper, we are interested in HSS preconditioners for saddle point lin-ear systems with a nonzero (2, 2)-th block. We study an approximation of the spectra of HSS preconditioned matrices and use these results to illustrate and explain the spectra obtained from numerical examples, where the previous spectral analysis of HSS precon-ditioned matrices does not cover.
Keywords:Saddle point problems  iterative methods  preconditioning  eigenvalues
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