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Zbl 1226.90103
Ezquerro, J.A.; Grau-Sánchez, M.; Grau, A.; Hernández, M.A.; Noguera, M.; Romero, N.
On iterative methods with accelerated convergence for solving systems of nonlinear equations. (English)
[J] J. Optim. Theory Appl. 151, No. 1, 163-174 (2011). ISSN 0022-3239; ISSN 1573-2878/e

Summary: We present a modified method for solving nonlinear systems of equations with order of convergence higher than other competitive methods. We generalize also the efficiency index used in the one-dimensional case to several variables. Finally, we show some numerical examples, where the theoretical results obtained in this paper are applied.

MSC 2000:: *90C30 Nonlinear programming

Keywords: nonlinear systems; iterative method; order of convergence; computational efficiency

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Zentralblatt MATH Berlin [Germany]