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International Journal of Computer Mathematics Volume 84, 2007 - Issue 7
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Original Articles

A family of improved Jarratt multipoint methods

J. R. Sharma Department of Mathematics, Sant Longowal Institute of Engineering and Technology, Longowal, 148 106, Punjab, IndiaCorrespondence[email protected]
Pages 1027-1034 | Received 04 Jan 2006, Accepted 11 Feb 2007, Published online: 01 Aug 2007

References

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  • Jarratt , P. 1966 . Multipoint iterative methods for solving certain equations . Computer Journal , 8 : 398 – 400 .
  • Jarratt , P. 1969 . Some efficient fourth-order multipoint methods for solving equations . BIT , 9 : 119 – 124 .
  • King , R. F. 1971 . A fifth-order family of modified Newton methods . BIT , 11 : 409 – 412 .
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  • Neta , B. 1981 . On a family of multipoint methods for non-linear equations . International Journal of Computer Mathematics , 9 : 353 – 361 .
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  • Weerakoon , S. and Fernando , T. G.I. 2000 . A variant of Newton’s method with accelerated third-order convergence . Applied Mathematics Letters , 13 : 87 – 93 .
  • Sharma , J. R. 2005 . A composite third order Newton–Steffensen method for solving nonlinear equations . Applied Mathematics and Computation , 169 : 242 – 246 .
  • Sharma , J. R. and Goyal , R. K. 2006 . Fourth-order derivative-free methods for solving non-linear equations . International Journal of Computer Mathematics , 83 : 101 – 106 .
  • Grau , M. and Díaz-Barrero , J. L. 2006 . An improvement to Ostrowski root-finding method . Applied Mathematics and Computation , 173 : 450 – 456 .
  • Grau , M. and Díaz-Barrero , J. L. 2006 . An improvement of the Euler–Chebyshev iterative method . Journal of Mathematical Analysis and Applications , 315 : 1 – 7 .

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