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Spectral analysis for HSS preconditioners. (English) Zbl 1174.65352

Summary: We are interested in HSS preconditioners for saddle point linear 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 preconditioned matrices does not cover.

MSC:

65F10 Iterative numerical methods for linear systems
65F35 Numerical computation of matrix norms, conditioning, scaling
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