Stable computation of the complex roots of unity
نویسندگان
چکیده
منابع مشابه
Stable Computation of the Complex Roots of Unity Stable Computation of the Complex Roots of Unity
In this paper, we show that the problem of computing the complex roots of unity is not as simple as it seems at rst. In particular, the formulas given in a standard programmer's reference book Knuth, Seminumerical Algorithms, 1981] are shown to be numerically unstable, giving unacceptably large error for moderate sized sequences. We give alternative formulas, which we show to be superior both b...
متن کاملStable computation of the complex roots of unity
In this paper, we show that the problem of computing the complex roots of unity is not as simple as it seems at rst. In particular, the formulas given in a standard programmer's reference book Knuth, Seminumerical Algorithms, 1981] are shown to be numerically unstable , giving unacceptably large error for moderate sized sequences. We give alternative formulas, which we show to be superior both ...
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ژورنال
عنوان ژورنال: IEEE Transactions on Signal Processing
سال: 1995
ISSN: 1053-587X
DOI: 10.1109/78.398732