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On the Generalized Halley Method for Solving Nonlinear Equations

Authors: G. Albeanu

Published: 2008 (Journal Paper)

Source: ROMAI Journal

Algorithm: Generalized Halley Method

Summary

Studies a generalized form of Halley's method for solving nonlinear equations F(x) = 0 in general spaces, using the generalized inverse approach. Presents Kantorovich-like convergence theorems, quasi-Halley variants, and numerical behavior studies of the iterative scheme.

Abstract

Primary

Paper rj.romai.ro

Tags

  • Halley's method

  • Nonlinear equations

  • Root finding

  • Iterative methods

  • Generalized inverse

  • Convergence