Research Publications - Beny Neta / Index / back

  • A Sixth-Order Family of Methods for Nonlinear Equations (1979)
  • A New Iterative Method for the Solution of Systems of Nonlinear Equations(1981)
  • On a Family of Multipoint Methods for Nonlinear Equations (1981)
  • A Higher Order Method for Multiple Zeros of Nonlinear Functions, (1983)
  • A New Family of Higher Order Methods for Solving Equations, (1983)
  • A Higher Order Method for Determining Nonisolated Solutions of a System of Nonlinear Equations, (1984)
  • Several New Schemes for Solving Equations, (1987)
  • High order nonlinear solver for multiple roots, doi:10.1016/j.camwa.2007.09.001
  • On Popovski's method for nonlinear equations, doi:10.1016/j.amc.2008.01.012
  • High order nonlinear solver
  • Extension of Murakami's High order nonlinear solver to multiple roots
  • New Third Order Nonlinear Solvers for Multiple Roots, doi:10.1016/j.amc.2008.01.031
  • A third-order modification of Newton’s method for multiple roots
  • New families of nonlinear third-order solvers for finding multiple roots
  • Some modification of Newton’s method by the method of undetermined coefficients
  • Certain improvements of Newton’s method with fourth-order convergence
  • Some fourth-order nonlinear solvers with closed formulae for multiple roots
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