Note on the efficiency of some iterative methods for solving nonlinear equations
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The e ciency of algorithms for solving nonlinear equations is a measure of comparison between di erent iterative methods. In the case of scalar equations two parameters are considered as it is well-known, but frequently in recent literature inaccurate generalizations combining these parameters are used when solving systems of nonlinear equations. Our goal in this paper is to clarify the concept of the e ciency in the multi-dimensional case. To do it we present a detailed de nition of the computational e ciency. The relation between the e ciency parameters in scalar and vectorial cases is analyzed in detail and tested in two numerical examples
CitationGrau, M., Noguera, M., Diaz-Barrero, J.L. Note on the efficiency of some iterative methods for solving nonlinear equations. "SeMA Journal", 02 Novembre 2015, vol. 71, núm. 1, p. 15-22.