On the convergence of Newton's method under ω\star -conditioned second derivative

DOI10.4064/AM38-3-5zbMATH Open1230.65063OpenAlexW2325301229MaRDI QIDQ3010589

Saïd Hilout, Ioannis K. Argyros

Publication date: 4 July 2011

Published in: Applicationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/am38-3-5

zbMATH Keywords

Newton's methodBanach spaceFréchet derivativemajorizing sequences\(\omega\)-conditioned derivative

Mathematics Subject Classification ID

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

Related Items (1)

Convergence behavior for Newton-Steffensen's method under \(\gamma\)-condition of second derivative

Uses Software

• NewtonLib

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