Improved Newton-Raphson Methods for Solving Nonlinear Equations

  • Liang Fang College of Mathematics and Statistics, Taishan University, 271021, Tai'an
  • Lin Pang The circulation department of Library, Taishan University, 271021, Tai'an, China
Keywords: Newton-Raphson method, Nonlinear equations, Iterative method, Order of convergence


In this paper, we mainly study the numerical algorithms for simple root of nonlinear equations based on Newton-Raphson method. Two modified Newton-Raphson methods for solving nonlinear equations are suggested. Both of the methods are free from second derivatives. Numerical examples are made to show the performance of the presented methods, and to compare with other ones. The numerical results illustrate that the proposed methods are more efficient and performs better than Newton-Raphson method.


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