TY - JOUR T1 - Optimal-Order Parameter Identification in Solving Nonlinear Systems in a Banach Space AU - I. K. Argyros, D. Chen & Q. Qian JO - Journal of Computational Mathematics VL - 3 SP - 267 EP - 280 PY - 1995 DA - 1995/06 SN - 13 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9269.html KW - AB -
We study the sufficient and necessary conditions of the convergence for parameter-based rational methods in a Banach space. We derive a closed form of error bounds in terms of a real parameter $\lambda$ ($1 \leq \lambda < 2$). We also discuss some behaviors when the family is applied to abstract quadratic functions on a Banach space for $ \lambda = 2 $.