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Original Articles

Stein-rosenberg type theorems for the ssor and ussor, psd and mpsd methods

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Pages 73-88 | Received 09 May 1995, Published online: 20 Jan 2011

References

  • Young , D.M. 1971 . Iterative Solution of Large Linear Systems , New York : Academic Press .
  • Evans , D.J. and Missirlis , N.M . 1980 . The preconditioned simultaneous displacement method (PSD method) for elliptic difference equations . MACS , 22 : 256 – 263 .
  • Missirlis , N.M. and Evans , D.J. 1984 . The modified preconditioned simultaneous displacement (MPSD) method . MACS , 26 : 257 – 262 .
  • Evans , D.J. , Martins , M.M. and Trigo , M.E. 1992 . On the convergence of some generalized iterative methods with preconditioning . Intern. J. Computer Math. , 44 : 19 – 28 .
  • Missirlis , N.M. and Evans , D.J. 1981 . On the convergence of some generalized preconditioned iterative methods . SI AM J. Numer. Anal. , 18:4 : 591 – 596 .
  • Xing-ping , Liu . 1994 . Convergence of some iterative methods . Journal on Numerical Methods and Computer Applications , 13:1 : 58 – 64 .
  • Xinmin , Wang . 1993 . Generalized Stein-Rosenberg theorems for the regular splittings and convergence of some generalized iterative method . Linear Algebra Appl. , 184 : 207 – 234 .
  • Varga , R.S. 1962 . Matrix Iterative Analysis , Englewood, Cliffs, , N.J : Prentice-Hall .

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