A study of convergence for a fourth-order two-point iteration in Banach spaces

DOI10.2996/kmj/1138044091zbMath0986.47050OpenAlexW2053995937MaRDI QIDQ1975396

Miguel A. Hernández, José Antonio Ezquerro

Publication date: 13 June 2002

Published in: Kodai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2996/kmj/1138044091

zbMATH Keywords

convergence analysisconvergencerecurrence relationsa priori error boundsfourth-order iterative methodtwo-point iterations

Mathematics Subject Classification ID

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

Cites Work

• Recurrence relations for rational cubic methods. II: The Chebyshev method
• Recurrence relations for rational cubic methods. I: The Halley method
• A unified approach for constructing fast two-step Newton-like methods
• Computational complexity. On the geometry of polynomials and a theory of cost. I
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