13
Views
3
CrossRef citations to date
0
Altmetric
Original Articles

Asynchronous multisplitting relaxed iterations for weakly nonlinear systems

, &
Pages 57-76 | Received 23 Mar 1994, Published online: 19 Mar 2007

References

  • O′leary , D. P and White , R. E . 1985 . Multi-splittings of matrices and parallel solution of linear systems . SI AM J. Alg. Disc. Meth , 6 : 630 – 640 .
  • White , R. E . 1986 . Parallel algorithms for nonlinear problems . SI AM J. Alg. Disc. Meth , 7 : 137 – 149 .
  • White , R. E . 1986 . A nonlinear parallel algorithm with application to the Stefan problem . SI AM J. Numer Anal , 23 : 639 – 652 .
  • Deren , Wang . 1991 . On the convergence of the parallel multisplitting AOR algorithm . Linear Algebra Appl , 154 ( 156 ) : 473 – 486 .
  • Wang Deren Bai Zhongzhi Evans D. J. On the monotone convergence of multisplitting method for a class of system of weakly nonlinear equations 1993 to appear
  • Wang Deren Bai Zhongzhi Evans D. J. Multisplitting relaxed methods for a class of system of nonlinear equations 1993 to appear
  • Deren , Wang , Zhongzhi , Bai and Evans , D. J . 1994 . A class of asynchronous parallel matrix multisplitting relaxation methods . Parallel Algorithms Appl , 2 ( 156 ) : 173 – 192 .
  • Wang Deren Bai Zhongzhi Evans D. J. Models of asynchronous parallel matrix multisplitting relaxed iterations 1993 to appear
  • Bru , R , Elsner , L and Neumann , M . 1989 . Models of parallel chaotic iteration methods . Linear Algebra Appl , 103 ( 156 ) : 175 – 192 .
  • Frommer , A and Mayer , G . 1989 . Convergence of relaxed parallel multisplitting methods . Linear Algebra Appl , 119 ( 156 ) : 141 – 152 .
  • Neumann , M and Plemmons , R.J . 1987 . Convergence of parallel multisplitting iterative methods for M-matrices . Linear Algebra Appl , 88 ( 156 ) : 559 – 573 .
  • Memon , R. A . 1994 . Multisplitting accelerated overrelaxation methods for systems of weakly nonlinear equations . to appear on J. Shanghai Univ. Sci. Tech , 88 ( 156 )
  • Ortega , J. M and Rheinboldt , W. C . 1970 . “ Iterative Solution of Nonlinear Equations in Several Variables ” . New York : Academic Press .
  • Zhongzhi , Bai and Deren , Wang . 1994 . Asynchronous parallel nonlinear Gauss-Seidel type method . Appl.Math J. Chinese Univ (Ser. B), to appear ,
  • Varga R. S. Matrix Iterative Analysis Englewood Cliffs N.J. Prentice-Hall 1961
  • Evans , D. J and Deren , Wang . 1991 . An asynchronous parallel algorithm for solving a class of nonlinear simultaneous equations . Parallel Comput , 17 : 165 – 180 .
  • Deren , Wang and Baoyun , Sun . 1991 . A parallel algorithm for a class of nonlinear equations applicable to MIMD system . Numer. Math. Sinica , 13 : 297 – 306 .
  • Bertsekas D. P. Tsitsiklis J. N. Parallel and Distributed Computation: Numerical Methods Englewood Cliffs, N.J.: Prentice-Hall 1989

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.