Spectral Analysis for HSS Preconditioners

Spectral Analysis for HSS Preconditioners

Year:    2008

Numerical Mathematics: Theory, Methods and Applications, Vol. 1 (2008), Iss. 1 : pp. 57–77

Abstract

In this paper, 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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2008-NMTMA-6042

Numerical Mathematics: Theory, Methods and Applications, Vol. 1 (2008), Iss. 1 : pp. 57–77

Published online:    2008-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    21

Keywords:    Saddle point problems iterative methods preconditioning eigenvalues.