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计算数学 1981
I_(01) APPROXIMATION AND THE ROUND-OFF PROBLEM FOR COEFFICIENTS IN COMPUTATION OF POLYNOMAILS (CONTINUED)
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Abstract:
This paper investigates further the round-off problem for coefficients in computa-tion of polynomails based on author's previous paper1]. To do this, it discusses non-uniqueness of I_(01), approximation, gives a more precise estimate method for round-offerror, and generalizes the main result of 1] to more general interval instead of 0, 1].Finally, some examples are given to demonstrate the advantages of our round-off crite-rion: round-off error is smaller, its use is simple, and the rough estimate for round-offerror sufficient for common applications is unified -- there is no need of any com-putation in use.