The multisplitting PSD (MPSD) method for systems of weakly nonlinear equations

References

• Berman , A. and Plemmous , R. J. Nonnegative Matrices in the Mathematical Sciences , New York : Academic .
   Google Scholar
• Da-Wei , Chang . 1995 . Convergence analysis of the parallel multisplitting PSD method . International Journal Computer Math. , 56 : 95 – 106 .
   Google Scholar
• Da-Wei , Chang . 1995 . Stein-Rosenberg type theorems for the USSOR iterative method . International Journal Computer Math. , 59 : 71 – 76 .
   Google Scholar
• Da-Wei , Chang . 1995 . On interval multisplitting AOR (IMAOR) method . International of Journal of Reliable Computing , : 52 – 53 .
   Google Scholar
• Da-Wei , Chang . 1995 . Proceedings of the Seventh SIAM Conference on Parallel Processing for Scientific Computing . A new multisplitting asynchronous iteration for linear system . 1995 . Edited by: Bailty , D. H. pp. 712 – 713 . SIAM .
   Google Scholar
• Da-Wei , Chang . 1996 . Convergence analysis of parallel multisplitting TOR method . Journal Computational and Applied Mathematics , 72 : 169 – 177 .
   Google Scholar
• Evans , D. J. and Wang , Deren . 1991 . An asynchronous parallel algorithm for solving a class of nonlinear simultaneous equations . Parallel Computing , 17 : 165 – 180 .
   Web of Science ®Google Scholar
• Evans , D. J. and Missirlis , N. M. 1980 . The preconditioned simultaneous displacement method for elliptic difference equation . Math. Comp. Simulations , 22 : 256 – 263 .
   Google Scholar
• Formmer , A. and Mayer , G. 1989 . Convergence of relaxed parallel multisplitting method . Linear Algebra Appl , 119 : 141 – 152 .
   Google Scholar
• Formmer , A. and Mayer , G. 1989 . Parallel interval multisplittings . Numer. Math. , 56 : 255 – 267 .
   Google Scholar
• Neumann , M. and Plemmons , P. J. 1987 . Convergence of parallel multisplitting iterative method for M-matrix . Linear Algebra Appl , 88/89 : 559 – 573 .
   Web of Science ®Google Scholar
• O′ Leary , D. P. and White , R. E. 1985 . Multi-splitting of matrix and parallel solution of linear systems . SIAM J. Algebra Disc. Meth. , 6 : 630 – 640 .
   Google Scholar
• Ortega , J. M. and Rheinboldt , W. C. 1970 . Iterative Solution of Nonlinear Equations in Several Variables , New York : Academic Press .
   Google Scholar
• Varga , R. S. Matrix Iterative Analysis , Englewood Cliffs, , N. J : Prentice-Hall .
   Google Scholar
• White , R. E. 1986 . Parallel algorithm for nonlinear problems . SIAM J. Algebra Disc. Meth. , 7 : 137 – 149 .
   Google Scholar
• Young , D. M. 1971 . Iterative Solution of Large Linear Systems , New York : Academic Press .
   Google Scholar