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- W2051279564 abstract "The inclusion methods for polynomial zeros using interval arithmetic require more computational amount of work than usually applied approximation methods employing only ordinary (real or complex) arithmetic. In this paper we propose combined procedures which first compute a good complex approximation to the zero and then use an interval method to get error bounds for the improved approximation. These combined methods have advantages on both parts, the high efficiency of the complex approximation method and the guaranteed error bounds due to the interval inclusion method. To present some essential properties of combined methods, we first give a general approach and then we deal with some special cases using rectangular arithmetic, which are of practical importance. Some numerical examples are given." @default.
- W2051279564 created "2016-06-24" @default.
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- W2051279564 date "1991-03-01" @default.
- W2051279564 modified "2023-10-17" @default.
- W2051279564 title "Hybrid inclusion algorithms for polynomial multiple complex zeros in rectangular arithmetic" @default.
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- W2051279564 doi "https://doi.org/10.1016/0168-9274(91)90036-y" @default.
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