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 flo...

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Bibliographic Details
Published in1981 IEEE 5th Symposium on Computer Arithmetic (ARITH) pp. 87 - 91
Main Authors Watanuki, O., Ercegovac, M. D.
Format Conference Proceeding
LanguageEnglish
Published IEEE 01.05.1981
Subjects
Approximation algorithms
Computer science
Contracts
Delay
Digital arithmetic
Equations
Error analysis
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Summary: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.
DOI:10.1109/ARITH.1981.6159297