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International Journal of Computer Mathematics Volume 77, 2001 - Issue 4
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Original Articles

The convergence conditions of the psd iterative method for linear systems

Da-Wei Chang Department of Mathematics, Shaanxi Normal University, Xi'an, P.R, 710062, China
Pages 569-581 | Received 08 Mar 2000, Published online: 19 Mar 2007

References

  • Chang , Da-Wei . 1995 . Convergence analysis of the parallel multisplitting PSD method . International Journal of Computer Mathematics , 56 : 95 – 106 .
  • Chang , Da-Wei . 1997 . The multisplitting PSD (MPSD) method for systems of weakly nonlinear equations . International Journal of Computer Mathematics , 65 : 247 – 262 .
  • Chang , Da-Wei . 1999 . On the modified preconditioned simultaneous displacement (M-PSD) method . International Journal of Computer Mathematics , 72 : 519 – 529 .
  • Evans , D.J. and Missirlis , N.M. 1980 . The preconditioned simultaneous displacement method for elliptic difference equation . Mathematics and Computer m Simulations , 22 : 256 – 263 .
  • Hadjidimos , A. and Neumann , M. 1988 . A note on the SSOR convergence domain due to Neumaier and Varga . Linear Algebra Appl , 107 : 207 – 217 .
  • Hu , Jia-Gan . 1992 . Convergence of BPSD method for T(q,r) matrix . International Journal of Computer Mathematics , 44 : 41 – 51 .
  • Liu , Xing-Ping . 1991 . Convergence of preconditioned iterative methods . Linear Algebra Appl , 146 : 93 – 110 .
  • Neumaier , A. and Varga , R.S. 1984 . Exact convergence and divergence domains for the symmetric successive overrelaxation iterative (SSOR) method applied to H-matrix . Linear Algebra Appl , 58 : 261 – 272 .
  • Ortega , J.M. and Rheinboldt , W.C. 1970 . Iterative Solution of Nonlinear Equations in Several Variables , New York : Academic Press .
  • Varga , R.S. 1962 . Matrix Iterative Analysis , Englewood Cliffs , NJ : Prentice-Hall .
  • Young , D.M. 1971 . Iterative Solution of Large Linear Systems , New York : Academic Press .

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