full
search.png

Search

close.png

Cancel

arrow
Volume 1, Issue 1
Spectral Analysis for HSS Preconditioners

Lung Chak Chan, Michael K. Ng & Nam Kiu Tsing

Numer. Math. Theor. Meth. Appl., 1 (2008), pp. 57-77.

Published online: 2008-01

Preview Full PDF 2053 25235

Cited by

google scholar semantic scholar
Export citation
  • 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.

  • Keywords

Saddle point problems, iterative methods, preconditioning, eigenvalues.

  • AMS Subject Headings

65F10

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address
  • BibTex
  • RIS
  • TXT
@Article{NMTMA-1-57, author = {}, 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 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 & Nam Kiu Tsing. (2020). Spectral Analysis for HSS Preconditioners. Numerical Mathematics: Theory, Methods and Applications. 1 (1). 57-77. doi:
Copy to clipboard
BibteX RIS TXT
The citation has been copied to your clipboard