On the convergence of two-step methods generated by point-to-point operators

DOI10.1016/S0096-3003(96)00025-2zbMath0874.65044MaRDI QIDQ5906752

Ioannis K. Argyros

Publication date: 2 November 1997

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

zbMATH Keywords

nonlinear operator equationmonotone convergencetwo-step Newton-like methodsUryson-type nonlinear integral equation

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10) Numerical solutions to equations with nonlinear operators (65J15)

Cites Work

• Unnamed Item
• Unnamed Item
• Sharp error bounds for Newton's process
• A fourth-order nonlinear iterative method in Banach spaces
• Some notions of nonstationary multistep iteration processes
• A special matrix equation and its application in microelectronics
• On an iterative algorithm of order 1.839… for solving nonlinear operator equations^∗)
• Convergence domains of certain iterative methods for solving nonlinear equations
• On the monotone convergence of general Newton-like methods

This page was built for publication: On the convergence of two-step methods generated by point-to-point operators