Semilocal convergence analysis and comparison of revisited computational efficiency of the sixth-order method in Banach spaces

DOI10.30755/NSJOM.04007zbMath1462.65059OpenAlexW2914187147WikidataQ128519051 ScholiaQ128519051MaRDI QIDQ4985312

Jai Prakash Jaiswal

Publication date: 23 April 2021

Published in: Novi Sad Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.30755/nsjom.04007

zbMATH Keywords

recurrence relationsemilocal convergenceBanach spacenonlinear equationrevisited computational efficiency

Mathematics Subject Classification ID

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

Cites Work

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• Semilocal convergence for a fifth-order Newton's method using recurrence relations in Banach spaces
• Semilocal convergence of a sixth-order Jarratt method in Banach spaces
• On the computational efficiency index and some iterative methods for solving systems of nonlinear equations
• Semilocal convergence of a sixth-order method in Banach spaces
• Recurrence relations for a Newton-like method in Banach spaces
• Semilocal convergence by using recurrence relations for a fifth-order method in Banach spaces
• Third-order iterative methods under Kantorovich conditions
• Fourth-order convergence theorem by using majorizing functions for super-Halley method in Banach spaces
• A modified Newton-Jarratt's composition

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