The convergence of a Halley-Chebysheff-type method under Newton-Kantorovich hypotheses

On the local convergence of inexact Newt

On the local convergence of inexact Newton-type methods under residual control-type conditions

✍ Hongmin Ren; Ioannis K. Argyros 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 322 KB

A local convergence analysis of inexact Newton-type methods using a new type of residual control was recently presented by C. Li and W. Shen. Here, we introduce the center-Hölder condition on the operator involved, and use it in combination with the Hölder condition to provide a new local convergenc