K. C. Gupta, V. Kanwar and Sanjeev Kumar, “A Family of Ellipse Methods for Solving Nonlinear Equations,” International Journal of Mathematical Education in Science and Technology, Vol. 40, No. 4, January 2009, pp. 571-575.

has been cited by the following article:

• TITLE: Modified Efficient Families of Two and Three-Step Predictor-Corrector Iterative Methods for Solving Nonlinear Equations

  AUTHORS: Sanjeev Kumar, Vinay Kanwar, Sukhjit Singh

  KEYWORDS: Nonlinear Equations, Iterative Methods, Multipoint Iterative Methods, Newton’s Method, Traub-Ostrowski’s Method, Predictor-Corrector Methods, Order of Convergence

  JOURNAL NAME: Applied Mathematics, Vol.1 No.3, September 29, 2010

  ABSTRACT: In this paper, we present and analyze modified families of predictor-corrector iterative methods for finding simple zeros of univariate nonlinear equations, permitting near the root. The main advantage of our methods is that they perform better and moreover, have the same efficiency indices as that of existing multipoint iterative methods. Furthermore, the convergence analysis of the new methods is discussed and several examples are given to illustrate their efficiency.