Notes on a paper considering nonlinear equations (CROSBI ID 148383)
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Ujević, Nenad
engleski
Notes on a paper considering nonlinear equations
In Abstract of the paper "A. Rafiq, A note on "A family of methods for solving nonlinear equations", Appl. Math. Comput., 195 (2008), 819--821" we can find the following sentences. We cite: Ujević et al. introduced a family of methods for solving nonlinear equations. However the main Algorithm 1 put forward by Ujević et al. (p.7) is wrong. This is the main aim of this note. We also point out some major bugs in the results of Ujević at al. - the end of the citation. Here it is shown that all of the mentioned assertions are not true. In other words, the Algorithm 1 is correct (up to an obvious misprint, which is not mentioned in the above paper) and there are no major bugs in the paper by Ujević at al. In fact, these observations, which will be proved in this note, show that the main aim of the paper by A. Rafiq is wrong.
nonlinear equations; method; convergence
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