General convergence theorems for iterative processes and applications to the Weierstrass root-finding method

摘要

In this paper, we prove some general convergence theorems for the Picarditeration in cone metric spaces over a solid vector space. As an application,we provide a detailed convergence analysis of the Weierstrass iterative methodfor computing all zeros of a polynomial simultaneously. These results improveand generalize existing ones in the literature.