Research Publications - Beny Neta / Index / back/ next

  • 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
  • Construction of optimal order nonlinear solvers using inverse interpolation
  • Interpolatory multipoint methods with memory for solving nonlinear equations
  • A new sixth order scheme for nonlinear equations
  • Third-order family of methods in Banach spaces
  • Basin attractors for various methods
  • Basin attractors for various methods for multiple roots
  • On optimal fourth-order iterative methods free from second derivative and their dynamics
  • A note on the modified super-Halley method
  • Basins of attraction for several methods to find simple roots of nonlinear equations
  • On a family of Halley-like Methods to find simple roots
  • On a family of Laguerre methods to find multiple roots of nonlinear equations
  • On the development of iterative methods for Multiple Roots,
  • Multipoint methods for solving nonlinear equations: A survey
  • Basins of Attraction for Optimal Eighth Order Methods to Find Simple Roots of Nonlinear Equations
  • Basins of attraction for several optimal fourth order methods for multiple roots
  • On Jarratt's family of optimal fourth-order iterative methods and their dynamics
  • Basins of attraction for Zhou-Chen-Song fourth order family of methods for multiple roots
  • An analysis of a new family of eighth-order optimal methods
  • Choosing weight functions in iterative methods for simple roots
  • Corrigendum to ``On a family of Halley-like Methods to find simple roots"
  • An analysis of a family of Maheshwari-based optimal eighth order methods
  • On developing a higher-order family of double-Newton methods with a bivariate weighting function
  • An analysis of a King-based family of optimal eighth-order methods
  • Basins of attraction for several third order methods to find multiple roots of nonlinear equations
  • Comparing the basins of attraction for Kanwar-Bhatia-Kansal family to the best fourth order method
  • Comparison of several families of optimal eighth order methods
  • A class of two-point sixth-order multiple-zero finders of modified double-Newton type and their dynamics
  • A sixth-order family of three-point modified Newton-like multiple-root finders and the dynamics behind their extraneous fixed points
  • An analysis of a Khattri's 4th order family of methods
  • The basins of attraction of Murakami�s fifth order family of methods
  • On the new family of optimal eighth order methods developed by Lotfi et al.
  • On an application of symbolic computation and computer graphics to root-finders: The case of multiple roots of unknown multiplicity
  • Comparative study of eighth order methods for finding simple roots of nonlinear equations
  • How good are methods with memory for the solution of nonlinear equations?
  • Constructing a family of optimal eighth-order modified Newton-type multiple-zero finders along with the dynamics behind their purely imaginary extraneous fixed points
  • An optimal family of eighth-order simple-root finders with weight functions dependent on function-to-function ratios and their dynamics underlying extraneous fixed points
  • A family of optimal quartic-order multiple-zero finders with a weight function of the principal kth root of a derivative-to-derivative ratio and their basins of attraction
  • Comparative study of methods of various orders for finding simple roots of nonlinear equations
  • An optimal eighth-order class of three-step weighted Newton�s methods and their dynamics behind the purely imaginary extraneous fixed points
  • On optimal parameter of Laguerre's family of zerofinding metho
  • Developing high order methods for the solution of systems of nonlinear equations
  • Comparative study of methods of various orders for finding repeated roots of nonlinear equations
  • On generalized Halley-like methods for solving nonlinear equations
  • Dynamics of some one-point third-order methods for the solution of nonlinear equations
  • Developing an Optimal Class of Generic Sixteenth-Order Simple-Root Finders and Investigating Their Dynamics
  • A Generic Family of Optimal Sixteenth-Order Multiple-Root Finders and Their Dynamics Underlying Purely Imaginary Extraneous Fixed Points
  • Basin attractors for derivative free methods to find simple roots of nonliner equations
  • A New Derivative-Free Method to Solve Nonlinear Equations
  • Comparative study of eighth-order methods for finding simple roots of nonlinear equations
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