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- W2073654278 abstract "An accelerating generator of iterative methods for finding multiple roots, based on Traub’s differential–difference recurrence relation, is presented. It is proved that this generator yields an iteration function of order r+1 starting from arbitrary iteration function of order r. In this way, it is possible to construct various iterative formulas of higher order for finding single roots of nonlinear equations and all simple or multiple roots of algebraic polynomials, simultaneously. For demonstration, two iterative methods of the fourth order in ordinary (real or complex) arithmetic and an iterative method in interval arithmetic are presented." @default.
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- W2073654278 date "2011-08-01" @default.
- W2073654278 modified "2023-09-27" @default.
- W2073654278 title "Traub’s accelerating generator of iterative root-finding methods" @default.
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- W2073654278 doi "https://doi.org/10.1016/j.aml.2011.03.027" @default.
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