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Original Articles

On widening region of convergence for newton' method - a numerical ODE perspective

Pages 433-444 | Received 27 Jun 2000, Published online: 19 Mar 2007

References

  • Hetzler , S.M. 1997 . A continuous version of Newton' Method . The College Mathematics Journal , 28 : 348 – 351 .
  • Gen-Israel , A. 1997 . Newton' Method with Modified Functions . Contemporary Mathematics , 204 : 39 – 50 .
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  • Lambert , J.D. 1973 . Nonlinear Methods for Stiff Systems of Ordinary Differential Equations , Edited by: Watson , G.A. 75 – 83 . Berlin : Springer-Verlag . Lecture Notes
  • Melman , A. 1997 . Geometry and convergence of Euler' and Halley' methods . SIAM Review , 39 : 728 – 735 .
  • Ortega , J. and Rheinboldt , W.C. 1970 . Iterative Solution of Nonlinear Equations in Several Variables , New York : Academic Press .
  • Ostrowsky , A.M. 1973 . Solutions of Equations in Euclidean and Banach Spaces , London, New York : Academic Press .
  • Traub , J.F. 1964 . Iterative Methods for the Solution of Equations , Englewood Cliffs, NJ : Prentice-Hall, Inc. .

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