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Original Articles

A note on neta's family of sixth-order methods for solving equations

Pages 91-93 | Published online: 20 Mar 2007

References

  • Neta , B. 1979 . A sixth-order family of methods for nonlinear equations . Intern. J. Computer Math. , 7 : 157 – 161 .
  • Rice , J.R. 1971 . Matrix representations of nonlinear equation iterations-application to parallel computation . Math. Comput , 25 : 639 – 647 .
  • Hindmarsh , A.C. 1972 . Optimality in a class of rootfinding algorithms . SIAM J. Numer. Anal , 9 : 205 – 214 .
  • Herzberger , J. 1974 . Uber Matrixdarstellungen fur Iterationsverfahren bei nichtlinearen Gleichungen . Computing , 12 : 215 – 222 .
  • Ostrowski , A.M. 1960 . Solution of Equations and Systems of Equations , New York : Academic Press .
  • King , R.F. 1971 . A fifth-order family of modified Newton methods . BIT , 11 : 409 – 412 .
  • Jarratt , P.D. and Nudds . 1965 . The use of rational functions in the iterative solution of equations on a digital computer . Comput. J , 8 : 62 – 65 .
  • Traub , J.F. 1964 . Iterative Methods for the Solution of Equations, , New Jersey : Prentice-Hall Englewood Cliffs .

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