Spectral Analysis for HSS Preconditioners
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@Article{NMTMA-1-57,
author = {Lung Chak Chan, Michael K. Ng and Nam Kiu Tsing},
title = {Spectral Analysis for HSS Preconditioners},
journal = {Numerical Mathematics: Theory, Methods and Applications},
year = {2008},
volume = {1},
number = {1},
pages = {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.
}, issn = {2079-7338}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/nmtma/6042.html} }
TY - JOUR
T1 - Spectral Analysis for HSS Preconditioners
AU - Lung Chak Chan, Michael K. Ng & Nam Kiu Tsing
JO - Numerical Mathematics: Theory, Methods and Applications
VL - 1
SP - 57
EP - 77
PY - 2008
DA - 2008/01
SN - 1
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/nmtma/6042.html
KW - Saddle point problems, iterative methods, preconditioning, eigenvalues.
AB -
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.
Lung Chak Chan, Michael K. Ng and Nam Kiu Tsing. (2008). Spectral Analysis for HSS Preconditioners.
Numerical Mathematics: Theory, Methods and Applications. 1 (1).
57-77.
doi:
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