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Original Articles

On the radius of convergence of newton's method

Pages 389-400 | Received 05 Oct 1999, Published online: 30 Mar 2007

References

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  • Argyros , I.K. 1990 . On the solution of equations with nondifferentiable operators and Ptak error estimates . BIT , 30 : 752 – 754 .
  • Argyros , I.K. and Szidarovszky , F. 1993 . The Theory and Application of Iteration Methods , Boca Raton, Florida : CRC Press .
  • Deufihard , P. 1979 . A stepsize control for continuation methods and its special applications to multiple shooting techniques . Numer. Math. , 33 : 115 – 146 .
  • Gutierez , J. 1997 . A new semilocal convergence theorem for Newton's method . J. Comp. Appl Math. , 79 : 131 – 145 .
  • Hackl , J. , Wacker , H. and Zulehner , W. 1980 . An efficient stepsize control for continuation methods . BIT , 20 : 475 – 485 .
  • Kantorovich , L.V. and Akilov , G.P. 1982 . Functional Analysis , Oxford : Pergamon Press .
  • Ypma , T.J. 1982 . Affine invariant convergence results for Newton's method . BIT , 22 : 108 – 118 .

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