Semilocal Convergence of a Seventh-Order Method in Banach Spaces Under H<i>ö</i>lder Continuity Condition

DOI10.18311/JIMS/2020/23248zbMath1463.65129OpenAlexW3045256884MaRDI QIDQ5140039

Neha Gupta, Jai Prakash Jaiswal

Publication date: 13 December 2020

Published in: The Journal of the Indian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.18311/jims/2020/23248

zbMATH Keywords

recurrence relationerror boundsemilocal convergenceBanach spaceFréchet derivativenonlinear operatorHölder condition

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
• Analysis of convergence for improved Chebyshev-Halley methods under different conditions
• Semilocal convergence of a sixth-order Jarratt method in Banach spaces
• Semilocal convergence and its computational efficiency of a seventh-order method in Banach spaces
• A new class of methods with higher order of convergence for solving systems of nonlinear equations
• Semilocal convergence of a sixth-order method in Banach spaces
• Recurrence relations for super-Halley's method with Hölder continuous second derivative 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

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