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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, <CitationRef CitationID="CR5">2000</CitationRef>), these methods are free from...</citationref>
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