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Original Articles

Some improvements on the convergence of the interval maor method

Pages 493-507 | Received 24 Jun 1999, Published online: 19 Mar 2007

References

  • Cvetković , L. and Herceg , D. 1989 . The AOR Method for solving linear interval equations . Computing , 41 : 359 – 364 .
  • Evans , D. J. and Martins , M. M. 1992 . Proceedings of International Symposium on Numerical Analysis . On the Convergence of some extrapolated methods . 1992 , Praga.
  • Hadjidimos , A. 1978 . Accelerated Overrelaxation Method . Math. Comp. , 32 : 149 – 157 .
  • Hadjidimos , A. , Psimarni , A. and Yeyios , A. K. 1992 . On the convergence of the Modified Accelerated Overrelaxation (MAOR) Method . Appl. Numer. Math. , 10 : 115 – 127 .
  • James , K. R. 1973 . Convergence of matrix iterations subject to diagonal dominance . Siam J. Num. Anal. , 10 : 478 – 484 .
  • Jia-gan , H. 1982 . Estimates of ∥B −1 A∥∞ and their applications . Math. Num. Sin. , 4 : 272 – 282 .
  • Jia-gan , H. 1980 . Upper bounds of the spectral radius of some iterative methods . J. Comp. Math. , 8 : 118 – 127 .
  • Martins , M. M. 1988 . Extended convergence regions for the AOR method . J. Comp. Appl. Math. , 24 : 327 – 336 .
  • Martins , M. M. 1991 . “ On the generalized iterative method for linear systems with matrices belonging to the class C 1 ” . In Colloquia Mathematica Societatis. János Bolyai , Edited by: Greenspan , D. and Rósza , P. 29 – 36 . Amsterdam : Elsevier Science . Numerical Methods
  • Martins , M. M. and Trigo , M. E. 1994 . On the convergence of the interval (MAOR) Method . Appl. Numer. Math. , 15 : 439 – 448 .
  • Neumaier , A. 1984 . New techniques for the analyses of linear interval equations . Lin. Alg. Appl. , 58 : 273 – 325 .
  • Qingrong , L. and Zhiying , J. 1987 . The SOR method for solving linear interval equations . Freiburger Interval Berichte , 87/7 : 1 – 7 .
  • Varga , R. S. 1981 . Matrix Iterative Analysis , New York, Englewood Cliffs : Prentice-Hall .
  • Xinmin , W. and Evans , D. J. 1994 . The upper bound of the spectral radius of M −1 N and the convergence of some iterative methods . Int. Jour. Comp. Math. , 53 : 203 – 217 .
  • Young , D. M. 1971 . Iterative Solution of Large Linear Systems , New York, London : Academic Press .

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