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Round-off error
Known as:
Roundoff error
, Rounding error
, Round off
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A round-off error, also called rounding error, is the difference between the calculated approximation of a number and its exact mathematical value…
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Related topics
Related topics
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ACM Computing Surveys
Algorithm
Approximation
Approximation error
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Papers overview
Semantic Scholar uses AI to extract papers important to this topic.
Highly Cited
2001
Highly Cited
2001
Mean-quantization-based fragile watermarking for image authentication
Gwo-Jong Yu
,
Chun-Shien Lu
,
H. M. Liao
2001
Corpus ID: 9184700
The authors propose an image authentication scheme, which is able to detect malicious tampering while tolerating some incidental…
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Highly Cited
1992
Highly Cited
1992
Exact numerical studies of Hamiltonian maps: iterating without roundoff error
D. Earn
,
S. Tremaine
1992
Corpus ID: 123103814
1991
1991
Reducing Round-Off Error in Chebyshev Pseudospectral Computations
E. Rothman
1991
Corpus ID: 117117046
Spectral methods have become indispensable tools for scientists involved in solving partial differential equations, because they…
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Highly Cited
1990
Highly Cited
1990
Efficient, numerically stabilized rank-one eigenstructure updating [signal processing]
R. DeGroat
,
R. Roberts
IEEE Transactions on Acoustics Speech and Signal…
1990
Corpus ID: 206412040
Rank-one eigenvalue decomposition (EVD) updating is well suited to the problem of tracking time-varying subspaces. Previously…
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Review
1985
Review
1985
An Efficient Stochastic Method for Round-Off Error Analysis
J. Vignes
,
R. Alt
Accurate Scientific Computations
1985
Corpus ID: 40171683
This paper presents a survey of research results obtained by the authors and by their team, on the round-off error propagation…
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1980
1980
Algorithms for least-squares linear prediction and maximum entropy spectral analysis; Part II; Fortran program
I. Barrodale
,
R. E. Erickson
1980
Corpus ID: 61248591
We present a set of Fortran subroutines which implement the least‐squares algorithm described in Part I (Barrodale and Erickson…
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Highly Cited
1976
Highly Cited
1976
Backward error analysis for totally positive linear systems
C. Boor
,
A. Pinkus
1976
Corpus ID: 15777712
SummaryGauss elimination applied to ann×n matrixA in floating point arithmetic produces (if successful) a factorization $$\hat L…
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1975
1975
Round-off error in products
R. Goodman
,
A. Feldstein
Computing
1975
Corpus ID: 9795436
ZusammenfassungSeienA1 undA2 zufällige Gleitkommazahlen zu einer beliebigen Basis β mit einer logarithmischen Verteilung. Seir…
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Highly Cited
1972
Highly Cited
1972
Automatic computation of exponentials, logarithms, ratios and square roots
T. C. Chen
1972
Corpus ID: 6881449
It is shown how a relatively simple device can evaluate exponentials, logarithms, ratios and square roots for fraction arguments…
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1968
1968
ROUND-OFF ERROR OF FLOATING-POINT DIGITAL FILTERS,
T. Kaneko
,
B. Liu
1968
Corpus ID: 57133392
Abstract : This paper is concerned with the accuracy problem of digital filters. When a computer using fixed-point arithmetic is…
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