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International Journal of Computer Mathematics Volume 61, 1996 - Issue 1-2
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Original Articles

A family of chebyshev type methods in banach spaces

M. A. Hernádez Department of Mathematics and Computation, , University of La Rioja, C/Luis de Ulloa s/n , Logrono , 26004, Spain
&
M. A. Salanova Department of Mathematics and Computation, , University of La Rioja, C/Luis de Ulloa s/n , Logrono , 26004, Spain
Pages 145-154 | Published online: 19 Mar 2007

References

  • Altman , M. 1961 . Concerning the method of tangent hyperbolas for operator equations . Bull. Acad. Pol. SciSeries Sci. Math., Ast. et Phys , 9 : 633 – 637 .
  • Gutierrez , J. M. , Hernandez , M. A. and Salanova , M. A. 1995 . Accesibility of solutions by Newton's met . hod,Inter. J. Computer Math , 57 : 239 – 247 .
  • Hernandez , M. A. 1991 . A note on Halley's method . Numer. Math , 59 : 273 – 276 .
  • Hernandez , M. A. 1992 . Newton-Raphson's method and convexity . Zb. Rad. Prirod.-Mat. Fak. Ser. Mat , 22 ( 1 ) : 159 – 166 .
  • Hernandez , M. A. and Salanova , M. A. 1993 . A family of Chebyshev-Halley type methods . Intern. J Computer Math , 47 ( 1 ) : 59 – 63 .
  • Hernandez , M. A. and Salanova , M. A. 1994 . A family of Newton type iterative processes . Intern. J Computer. Math , 51 ( 1 ) : 205 – 214 .
  • Kantorovich , L. V. 1951 . The Majorant Principle and Newton's Method . Dokl. Akad. Nauk SSRR , 76 ( 1 ) : 17 – 20 .
  • Kantorovich , L. V. and Akilov , G. P. 1982 . Functional Analysis , Pergamon Press .
  • Ostrowski , A. M. , ed. 1943 . Solution of equations in Euclidean and Banach Spaces , Academic Press .
  • Yamamoto , T. 1986 . A Method for Finding Sharp Error Bounds for Newton's Method under the Kantorovich Assumptions . Numer. Math , 49 : 203 – 220 .

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