浮点联机算术:误差分析

1981 IEEE 5th Symposium on Computer Arithmetic (ARITH) Pub Date : 1981-05-16 DOI:10.1109/ARITH.1981.6159297

O. Watanuki, M. Ercegovac

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引用次数: 9

摘要

研究了冗余数系统在尾数表示中的性质，推导了冗余尾数的范围。从尾数的取值范围和联机操作的绝对误差出发，定义并分析了冗余浮点数的最大相对表示误差。

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Floating-point on-line arithmetic: Error analysis

The properties of redundant number system in mantissa representation are studied and the range of the redundant mantissa is derived. From the range of the mantissa and the absolute error of on-line operations, the MRRE (maximum relative representation error) is defined and analyzed for redundant floating-point numbers.

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1981 IEEE 5th Symposium on Computer Arithmetic (ARITH)

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