50
Views
10
CrossRef citations to date
0
Altmetric
Original Articles

Global relaxed non-stationary multisplitting multi-parameter methods

, &
Pages 211-224 | Published online: 02 Oct 2008

References

  • O'Leary , D. P. and White , R. E. 1985 . Multi-splittings of matrices and parallel solution of linear systems . SIAM Journal on Algebraic and Discrete Mathematics , 6 : 630 – 640 .
  • Frommer , A. and Mayer , G. 1989 . Convergence of relaxed parallel multisplitting methods . Linear Algebra and Its Applications , 119 : 141 – 152 .
  • Mas , J. , Migallon , V. , Penades , J. and Szyld , D. B. 1992 . Nonstationary parallel relaxed multisplitting methods . Linear Algebra and Its Applications , 241–243 : 733 – 747 .
  • Xu , S. X. 2000 . Convergence of nonstationary parallel multisplitting SOR methods . Mathematical Theory and Application , 20 ( 1 ) : 116 – 118 .
  • Gu , T. X. , Liu , X. P. and Shen , L. J. 2000 . Relaxed parallel two-stage multisplitting methods . International Journal of Computer Mathematics , 75 : 351 – 363 .
  • Gu , T. X. and Liu , X. P. 1998 . Parallel two-stage multisplitting iterative methods . International Journal of Computer Mathematics , 20 ( 2 ) : 153 – 166 .
  • Frommer , A. and Mayer , G. 1992 . On the theory and practice of multisplitting methods in parallel computation . Computing , 49 : 62 – 74 .
  • Liu , Z. Y. , Wu , H. B. and Shi , C. C. 1999 . Convergence of nonstationary parallel multisplitting AOR method . Journal of Fudan University (Natural Science) , 38 ( 2 ) : 228 – 233 .
  • Bai , Z. Z. 1998, On the convergence domains of the matrix multisplitting relaxed methods %for Linear Systems . Applied Mathematics, Journal of Chinese University , 13b ( 1 ) : 45 – 52 .
  • Berman , A. and Plemmons , R. J. 1979 . Nonnegative Matrices in the %Mathematical Sciences , New York : Academic Press .
  • Cao , Z. H. and Zhong-Yun , Lin . 1996 . Convergence of relaxed parallel multisplitting methods with different weighting schemes . Applied Mathematics and Computation , 106 : 181 – 196 .
  • Cao , Z. H. 1995, On the convergence of nested stationary iterative %methods . Linear Algebra and Its Applications , 221 : 159 – 170 .
  • Chang , D. W. 1996 . Convergence analysis of the parallel multisplitting TOR %methods . Journal of Computational and Applied Mathematics , 72 : 169 – 177 .
  • Song , Y. Z. 1994, Convergence of parallel multisplitting methods . Linear %Algebra and Its Applications , 50 : 213 – 232 .
  • Varga , R. S. 2000 . Matrix Iterative Analysis , New York : Springer-Verlag .
  • Wang , D. R. 1991 . On the convergence of parallel multisplitting AOR algorithm . Linear Algebra and Its Applications , 154/156 : 473 – 486 .

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:

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:

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.