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Original Articles

On the convergence of the parallel multisplitting PSD algorithm

Pages 289-296 | Received 11 Jul 1997, Published online: 19 Mar 2007

References

  • O'Leary , D.P. and White , R.E. 1985 . Multisplitting of matrices and parallel solution of linear systems . SIAM J, Algebraic Discrete Methods , 6 : 630 – 640 .
  • Neumann , M. and Plemmons , P.J. 1987 . Convergence of parallel multisplitting iterative methods for M-matrices . Linear Algebra Appl. , 88/89 : 559 – 573 .
  • Frommer , A. and Mayer , G. 1989 . Convergence of relaxed parallel multisplitting method . Linear Algebra Appl. , 119 : 141 – 152 .
  • White , R.E. 1989 . Multisplitting with different weighting schemes . SIAM J. Matrix Anal. Appl. , 10 : 481 – 493 .
  • Wang , D. 1991 . On the convergence of the parallel multisplitting AOR algorithm . Linear Algebra Appl. , 154/156 : 473 – 486 .
  • Evans , D.J. and Missirlis , N.M. 1980 . The Preconditioned simultaneous displacement method (PSD method) for elliptic difference equations . Math, Comp. Simulations , XXII : 256 – 263 .
  • Hadjidimos , A. and Yeyios , A. 1980 . The principle of extrapolation in connection with the accelerated overrelaxation method . Linear Algebra Appl. , 30 : 115 – 128 .

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