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In this paper, we study the semilocal convergence on a class of improved Chebyshev methods for solving nonlinear equations in Banach spaces. Different from the results for Chebyshev method considered in Hernández and Salanova (J Comput Appl Math 126:131–143, 2000), these methods are free from the second derivative, the R -order of convergence is also improved. We prove a convergence...
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