Internet Resources for Halley's Method
  1. Newton's method and high order iterations  
    Xavier Gourdon  and  Pascal Sebah, France  
  2. Halley's Method  
    Eric Weisstein, World of Mathematics, Wolfram Research, Inc.  
  3. Double precision ... Example 2. Halley's method  
    Tony Arber, Department of Physics, University of Warwick, Coventry, UK  
  4. A second degree approximation ... Halley's method  
    William Rundell, Computer Science Dept., Texas A&M University, College Station, TX  
  5. Newton's Versus Halley's Method: An Approach via Complex Dynamics  
    Gareth E. Roberts, Math. and Computer Science, College of the Holy Cross, Worcester, MA  
  6. Halley's method applied to an inverse acoustic scattering problem  
    F Hettlich, Mathematisches Institut II Universität Karlsruhe  
  7. Scalar Zero Finders ... HALLEY1 implements Halley's method  
    John Burkardt, Pittsburgh Supercomputing Center, Pittsburgh, PA  
  8. An Efficient Method for a Class of Continuous Nonlinear Knapsack Problems  
    A. Melman, G. Rabinowitz, Society for Industrial and Applied Mathematics  
  9. A note on the convergence of Halley's method for solving operator equations  
    Shming Zheng and Desmond Robbie, Australian Mathematical Society
  10. On the Geometry of Halley's Method
    John B. Thoo, Math. Dept., Yuba College, Marysville, CA    

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2003