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• W1974318180 abstract "Iterative methods with extremely rapid convergence in floating-point arithmetic and circular arithmetic for simultaneously approximating simple zeros of analytic functions (inside a simple smooth closed contour in the complex plane) are presented. The R-order of convergence of the basic total-step and single-step methods, as well as their improvements which use Newton's and Halley's corrections, is given. Some hybrid algorithms that combine the efficiency of ordinary floating-point iterative methods with the accuracy control provided by interval arithmetic are also considered." @default.
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• W1974318180 date "1992-03-01" @default.
• W1974318180 modified "2023-09-24" @default.
• W1974318180 title "Higher-order iterative methods for approximating zeros of analytic functions" @default.
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• W1974318180 doi "https://doi.org/10.1016/0377-0427(92)90133-i" @default.
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