Darvishi, M. T.; Barati, A. A fourth-order method from quadrature formulae to solve systems of nonlinear equations. (English) Zbl 1118.65045 Appl. Math. Comput. 188, No. 1, 257-261 (2007). Summary: We obtain a fourth-order convergence method to solve systems of nonlinear equations. This method is based on a quadrature formulae. A general error analysis providing the fourth order of convergence is given. Numerical examples show the fourth-order convergence. This method does not use the second-order Fréchet derivative. Cited in 49 Documents MSC: 65H10 Numerical computation of solutions to systems of equations Keywords:convergence; error analysis; numerical examples PDF BibTeX XML Cite \textit{M. T. Darvishi} and \textit{A. Barati}, Appl. Math. Comput. 188, No. 1, 257--261 (2007; Zbl 1118.65045) Full Text: DOI OpenURL References: [1] Ortega, J.M.; Rheinboldt, W.C., Iterative solution of nonlinear equations in several variables, (1970), Academic Press · Zbl 0241.65046 [2] M.T. Darvishi, A. Barati, A third-order Newton-type method to solve systems of nonlinear equations, Appl. Math. Comput., doi:10.1016/j.amc.2006.08.080. · Zbl 1116.65060 [3] Frontini, M.; Sormani, E., Third-order methods from quadrature formulae for solving systems of nonlinear equations, Appl. math. comput., 149, 771-782, (2004) · Zbl 1050.65055 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.