Guard digit

Known as: Guard digits 
In numerical analysis, one or more guard digits can be used to reduce the amount of roundoff error. For example, suppose that the final result of a… (More)
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Topic mentions per year

Topic mentions per year

1973-2010
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Papers overview

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2006
2006
Redundant number representations are generally used to allow constant time additions, based on the fact that only bounded carry… (More)
  • table 1
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1989
1989
Under favourable conditions, evaluation of polynomials by Homer's rule has an error not exceeding a few units in the last place… (More)
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1985
1985
A model of the relative error in floating point multiplication is developed and is analyzed stochastically for various choices of… (More)
  • table 5.1
  • table 5.2
  • table 6.1
  • table 6.2
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1984
1984
Multiple-precision arithmetic overcomes the round-off error incurred in conventional floating-point arithmetic, at the cost of… (More)
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1978
1978
Previous papers in computer arithmetic have shown that correct rounded floating point with good arithmetic properties can be… (More)
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1977
1977
The effect of two important computer design parameters on floating point multiplication is studied. The parameters are the number… (More)
  • table 3
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1975
1975
ROM-rounding is introduced and is shown to compare favorably with existing floating-point rounding methods on design… (More)
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  • figure 3
  • figure 5
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1974
1974
Solving a linear system Ax = b by Gaussian Elimination usually entails pivotal inter-changes designed to inhibit that explosive… (More)
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1973
1973
A bound on the relative error in floating-point addition using a single-precision accumulator with guard digits is derived. It is… (More)
  • table I
  • figure 5
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1973
1973
This paper presents the statistical results of tests of the accuracy of certain arithmetic systems in evaluating sums, products… (More)
  • table I
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  • table IV
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