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Preserving the order of convergence: Low-complexity Jacobian-free iterative schemes for solving nonlinear systems

Amiri, Abdolreza; Cordero Barbero, Alicia; Darvishi, M.T.; Torregrosa Sánchez, Juan Ramón (Elsevier, 2018-08-01)

[EN] In this paper, a new technique to construct a family of divided differences for designing derivative-free iterative methods for solving nonlinear systems is proposed. By using these divided differences any kind of ...
Stability analysis of Jacobian-free iterative methods for solving nonlinear systems by using families of mth power divided differences

Amiri, A. R.; Cordero Barbero, Alicia; Darvishi, M. T.; Torregrosa Sánchez, Juan Ramón (Springer-Verlag, 2019-05)

[EN] The dynamical properties of a family of forward, central divided differences and Richardson extrapolation technique are studied. Applying these tools, an iterative method for solving nonlinear systems can be transformed ...
Stability analysis of Jacobian-free Newton's iterative method

Amiri, Abdolreza; Cordero Barbero, Alicia; Darvishi, M.T.; Torregrosa Sánchez, Juan Ramón (MDPI AG, 2019-11-06)

[EN] It is well known that scalar iterative methods with derivatives are highly more stable than their derivative-free partners, understanding the term stability as a measure of the wideness of the set of converging initial ...

Mostrando ítems 1-3 de 3