262
Views
5
CrossRef citations to date
0
Altmetric
Original Articles

A relaxed block-triangular splitting preconditioner for generalized saddle-point problems

, &
Pages 1609-1623 | Received 20 Feb 2016, Accepted 29 Jun 2016, Published online: 03 Sep 2016
 

ABSTRACT

For the generalized saddle-point problems, based on a new block-triangular splitting of the saddle-point matrix, we introduce a relaxed block-triangular splitting preconditioner to accelerate the convergence rate of the Krylov subspace methods. This new preconditioner is easily implemented since it has simple block structure. The spectral property of the preconditioned matrix is analysed. Moreover, the degree of the minimal polynomial of the preconditioned matrix is also discussed. Numerical experiments are reported to show the preconditioning effect of the new preconditioner.

2010 AMS SUBJECT CLASSIFICATIONS:

Acknowledgements

The authors are very much indebted to the referees for providing very useful comments and suggestions, which greatly improved the original manuscript of this paper.

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

This work is partially supported by the National Natural Science Foundation of China [Grant Nos. 11401281, 11471150] and the Fundamental Research Fund for the Central Universities [Grant No. lzujbky-2016-97].

Log in via your institution

Log in to Taylor & Francis Online

PDF download + Online access

  • 48 hours access to article PDF & online version
  • Article PDF can be downloaded
  • Article PDF can be printed
USD 61.00 Add to cart

Issue Purchase

  • 30 days online access to complete issue
  • Article PDFs can be downloaded
  • Article PDFs can be printed
USD 1,129.00 Add to cart

* Local tax will be added as applicable

Related Research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.