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  • A family of iterative methods that uses divided differences of first and second orders 

    Ezquerro, José Antonio; Grau Sánchez, Miguel; Hernández Verón, Miguel Angel; Noguera Batlle, Miquel (2015-11-01)
    Article
    Open Access
    The family of fourth-order Steffensen-type methods proposed by Zheng et al. (Appl. Math. Comput. 217, 9592-9597 (2011)) is extended to solve systems of nonlinear equations. This extension uses multidimensional divided ...
  • A study of optimization for Steffensen-type methods with frozen divided differences 

    Ezquerro, José Antonio; Grau Sánchez, Miguel; Hernández Verón, Miguel Àngel; Noguera Batlle, Miquel (Springer, 2015-10-16)
    Article
    Open Access
    A local convergence analysis for a generalization of a family of Ste ensen-type iterative methods with three frozen steps is presented for solving nonlinear equations. From the use of three classical divided di erence ...