Third order convergence theorem for a family of Newton like methods in Banach space
DOI:
https://doi.org/10.33993/jnaat431-996Keywords:
nonlinear equations in Banach space, third order Newton like methods, recurrence relations, error bounds, convergence domainAbstract
In this paper, we propose a family of Newton-like methods in Banach space which includes some well known third-order methods as particular cases. We establish the Newton-Kantorovich type convergence theorem for a proposed family and get an error estimate.Downloads
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