Computing power series in polynomial time (Q1102956)
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scientific article; zbMATH DE number 4051614
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Computing power series in polynomial time |
scientific article; zbMATH DE number 4051614 |
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Computing power series in polynomial time (English)
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1988
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It is shown that if a real-valued function f is polynomial-time computable on [a,b], with \(a<0<b\), and is analytic at 0, then the Taylor coefficients of f at 0, as a sequence of real numbers, is polynomial-time computable. Here, the notion of polynomial-time computable real numbers and real functions is based on the formal definitions given by the authors [Theor. Comput. Sci. 20, 323-352 (1982; Zbl 0498.03047)].
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complexity of real functions
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power series
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polynomial-time computable real functions
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Taylor coefficients
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polynomial-time computable real numbers
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