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Roundoff Error Distribution in Fixed-Point Multiplication and a Remark about the Rounding Rule

https://doi.org/10.1137/0705017
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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.2307/2004037openalex-snapshot
Numerical Mathematical Analysis
inferredcites →https://doi.org/10.2307/2311275openalex-snapshot
Discrete Variable Methods in Ordinary Differential Equations.

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.1007/bf01933198openalex-snapshot
Roundoff error distribution in fixed point multiplication
inferred← citeshttps://doi.org/10.1007/bf01940776openalex-snapshot
On round-off error in fixed-point multiplication
inferred← citeshttps://doi.org/10.1007/bf02237980openalex-snapshot
Some models of error in floating point multiplication
inferred← citeshttps://doi.org/10.1007/bf02242345openalex-snapshot
Verteilung der Rundungsfehler beim Produkt zweier Zahlen auf einer Festkommamaschine
inferred← citeshttps://doi.org/10.1016/0168-9274(90)90014-7openalex-snapshot
Some models of relative error in products
inferred← citeshttps://doi.org/10.1016/j.microrel.2010.11.011openalex-snapshot
Fixed-point multiplication: A probabilistic bit-pattern view
inferred← citeshttps://doi.org/10.1016/s0168-9274(00)00007-6openalex-snapshot
Number shortening algorithms
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Modern Computer Arithmetic
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A bibliography on computer arithmetic
inferred← citeshttps://doi.org/10.1109/icecs.2008.4674782openalex-snapshot
On the probability distribution of fixed-point multiplication
inferred← citeshttps://doi.org/10.1109/t-c.1970.223017openalex-snapshot
A Formalization of Floating-Point Numeric Base Conversion
inferred← citeshttps://doi.org/10.1109/tc.1973.5009113openalex-snapshot
On the Precision Attainable with Various Floating-Point Number Systems
inferred← citeshttps://doi.org/10.1109/tmc.2025.3599529openalex-snapshot
A Framework of Arithmetic-Level Variable Precision Computing for In-Memory Architecture: Case Study in MIMO Signal Processing
inferred← citeshttps://doi.org/10.1145/321623.321629openalex-snapshot
A Mean Square Estimate of the Generated Roundoff Error in Constant Matrix Iterative Processes
inferred← citeshttps://doi.org/10.1145/357980.358012openalex-snapshot
A statistical study of the accuracy of floating point number systems
inferred← citeshttps://doi.org/10.1145/362003.362013openalex-snapshot
A statistical study of the accuracy of floating point number systems
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