11
Views
8
CrossRef citations to date
0
Altmetric
Original Articles

Convergence of parallel multisplitting methods for h-matrices

Pages 213-232 | Received 03 Jul 1992, Published online: 19 Mar 2007

References

  • Berman , A. and Plemmons , R. J. 1979 . Nonnegative Matrices in the Mathematical Sciences , New York : Academic Press .
  • Csordas , G. and Varga , R. S. 1984 . Comparisons of regular splittings of matrices . Numer. Math. , 44 : 23 – 35 .
  • Elsner , L. 1989 . Comparisons of weak regular splittings and multisplitting method . Numer. Math. , 56 : 283 – 289 .
  • Frommer , A. and Mayer , G. 1989 . Convergence of relaxed parallel multisplitting methods . Lin. Alg. Appl. , 119 : 141 – 152 .
  • Hadjidimos , A. 1978 . Accelerated overrelaxation method . Math. Comp. , 32 : 149 – 157 .
  • Martins , M. M. 1980 . On an accelerated overrelaxation iterative method for linear systems with strictly diagonally dominant matrix . Math. Comp. , 35 : 1269 – 1273 .
  • Neumann , M. and Plemmons , R. J. 1987 . Convergence of parallel multisplitting iterative methods for M-matrices . Lin. Alg. Appl. , 88/89 : 559 – 573 .
  • O′ Leary , D. P. and White , R. E. 1985 . Multisplittings of matrices and parallel solution of linear systems . SIAM J. Alg. Disc. Methods , 6 : 332 – 337 .
  • Ortega , J. M. and Rheinboldt , W. C. 1970 . Iterative Solution of Nonlinear Equations in Several Variables , New York : Academic Press . Francisco, London
  • Song , Y. 1986 . Convergence of the AOR iterative method . Math. Numer. Sinica , 6 : 332 – 337 .
  • Song , Y. 1989 . The monotone convergence of splitting of matrices . Math. Appl. , 2 : 31 – 36 .
  • Varga , R. S. 1962 . Matrix Iterative Analysis , Englewood Cliffs, NJ : Prentice-Hall .
  • White , R. E. 1986 . A nonlinear parallel algorithm with application to the Stefan problem . SIAM J. Numer. Anal. , 23 : 639 – 652 .
  • White , R. E. 1989 . Multisplitting with different weighting schemes . SIAM J. Matrix Anal. Appl. , 10 : 481 – 493 .
  • White , R. E. 1990 . Multisplittings of a symmetric positive definite matrix . SIAM J. Matrix Anal. Appl , 11 : 69 – 82 .
  • Young , D. M. 1971 . Iteration Solution of Large Linear Systems , New York : Academic Press . San Francisco, London

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.