Iterations converging faster than Newton's method to the solutions of nonlinear equations in Banach space

zbMATH Open0737.47045MaRDI QIDQ1174757

Ioannis K. Argyros

Publication date: 25 June 1992

Published in: Functiones et Approximatio. Commentarii Mathematici (Search for Journal in Brave)

zbMATH Keywords

Newton's iterationFréchet-differentiableimplicit iterationssolutions of a nonlinear operator equation in Banach spaceTaylor expansion of an operator

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Numerical solutions to equations with nonlinear operators (65J15)

Related Items (2)

A Kantorovich-type analysis for a fast iterative method for solving nonlinear equations ⋮ Title not available (Why is that?)

Recommendations

• Title not available (Why is that?) 👍 👎
• Title not available (Why is that?) 👍 👎
• Title not available (Why is that?) 👍 👎
• A convergence theorem for Newton-like methods in Banach spaces 👍 👎
• Improving the rate of convergence of Newton methods on Banach spaces with a convergence structure and applications 👍 👎
• Newton methods on Banach spaces with a convergence structure and applications 👍 👎
• Convergence of a parameter based iterative method for solving nonlinear equations in Banach spaces 👍 👎
• A new convergence theorem for Newton-like methods in Banach space and applications 👍 👎
• The convergence ball of Newton-like methods in Banach space and applications 👍 👎
• An Improved Convergence Analysis and Applications for Newton-Like Methods in Banach Space 👍 👎

This page was built for publication: Iterations converging faster than Newton's method to the solutions of nonlinear equations in Banach space

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q1174757)