Zhang, Zhen Note on weaker convergence conditions for Newton iteration. (Chinese. English summary) Zbl 1043.65075 J. Zhejiang Univ., Sci. Ed. 30, No. 2, 133-135, 144 (2003). The convergence of the Newton method under some weak convergence conditions is established. A result on the existence of a unique solution for the operator equation is obtained by using a technique based on a new system of recurrence relations. Reviewer: Hang Tong Lau (St. Laurent/Quebec) MSC: 65J15 Numerical solutions to equations with nonlinear operators 47J25 Iterative procedures involving nonlinear operators Keywords:Newton’s method; recurrence relations; convergence; operator equation PDFBibTeX XMLCite \textit{Z. Zhang}, J. Zhejiang Univ., Sci. Ed. 30, No. 2, 133--135, 144 (2003; Zbl 1043.65075)