Improved error bounds for the modified secant method

DOI10.1080/00207169208804075zbMath0755.65055OpenAlexW2011524469MaRDI QIDQ4016904

Ioannis K. Argyros

Publication date: 16 January 1993

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207169208804075

zbMATH Keywords

error estimateBanach spacenondiscrete mathematical inductionmodified Secant method

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• A convergence theorem for Newton-like methods in Banach spaces
• Sharp error bounds for Newton's process
• An error analysis for the secant method
• Regula-falsi-Verfahren mit konsistenter Steigung und Majorantenprinzip
• Nondiscrete mathematical induction and iterative existence proofs
• Newton-like methods under mild differentiability conditions with error analysis
• On Newton's method and nondiscrete mathematical induction
• Optimal Error Bounds for the Newton–Kantorovich Theorem

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