Advanced search
Publication Cover
International Journal of Computer Mathematics Volume 83, 2006 - Issue 12
Submit an article Journal homepage
53
Views
7
CrossRef citations to date
0
Altmetric
Original Articles

On a class of row preconditioners for solving linear systems

Li Wang School of Mathematics and Computer Science, Nanjing Normal University, Nanjing, 210097, P.R. ChinaCorrespondence[email protected] [email protected]
Pages 939-949 | Received 01 May 2006, Accepted 20 Nov 2006, Published online: 26 Mar 2007

References

  • Hadjidimos , A. 1978 . Accelerated overrelaxation method . Mathematics of Computation , 32 : 149 – 157 .
  • Evans , D. J. , Martins , M. M. and Trigo , M. E. 2001 . The AOR iterative method for new preconditioned linear systems . Journal of Computational and Applied Mathematics , 132 : 461 – 466 .
  • Gunawardena , A. D. , Jain , S. K. and Snyder , L. 1991 . Modified iterative methods for consistent linear systems . Linear Algebra and its Applications , 154–156 : 123 – 143 .
  • Hadjidimos , A. , Noutsos , D. and Tzoumas , M. 2003 . More on modifications and improvments of classical iterative schemes for M-matrices . Linear Algebra and its Application , 364 : 253 – 279 .
  • Kohno , T. , Kotakemori , H. , Niki , H. and Usui , M. 1997 . Improving the Gauss–Seidel method for Z-matrices . Linear Algebra and its Applications , 267 : 113 – 123 .
  • Kotakemori , H. , Niki , H. and Okamoto , N. 1996 . Accelerated iterative method for Z-matrices . Journal of Computational and Applied Mathematics , 75 : 87 – 97 .
  • Li , W. and Sun , W. W. 2000 . Modified Gauss–Seidel type methods and Jacobi type methods for Z-matrices . Linear Algebra and its Applications , 317 : 227 – 240 .
  • Li , W. 2002 . Preconditioned AOR iterative methods for solving linear systems . International Journal of Computer Mathematics , 79 : 89 – 101 .
  • Wang , Z. D. and Huang , T. Z. The upper Jacobi and upper Gauss–Seidel type iterative methods for preconditioned linear systems . Applied Mathematics Letters , (To appear)
  • Zhang , Y. , Huang , T. Z. and Liu , X. P. 2005 . Modified iterative methods for nonnegative matrices and M-matrices linear systems . Computers and Mathematics with Applications , 50 : 1587 – 1602 .
  • Varga , R. S. 1962 . Matrix Iterative Analysis , Englewood Cliffs : Prentice-Hall .
  • Berman , A. and Plemmons , R. J. 1994 . Nonnegative Matrices in the Mathematical Sciences , Philadelphia : Academic Press, SIAM .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

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.