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[02573] Local convergence analysis of modified King's family for multiple roots

  • Session Time & Room : 2C (Aug.22, 13:20-15:00) @E501
  • Type : Contributed Talk
  • Abstract : We Introduce a new optimal King-like family of methods to solve nonlinear equations when the multiplicity of the root is known in advance. Local convergence of fourth order modified King's family, defined by first two steps of the new scheme is also studied. Radius of convergence balls of fourth order scheme are computed and compared with the existing methods. Comparison of these results show the superiority of our schemes over the existing ones.
  • Classification : 65A05, 65Gxx, 65H05, 65G99
  • Format : Talk at Waseda University
  • Author(s) :
    • Saurabh Bhatia (Panjab University Chandigarh)