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A Wavefield-Domain Method for Refining Residual Timing Errors in Passive-Source Seismic Exploration. [PDF]
Song J, Zhu G, Li Q, Zhang Y.
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Improving Child Malnutrition Estimates in Bangladesh: The Role of Data Quality in Anthropometric Measures Using DHS 2014-2022. [PDF]
Ahmed KT, Alam MK.
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Mean and variance of round off error
Gadzhiev [4] derived expressions for round off error mean and round off error variance when the rounded variable follows the centered uniform and centered Gaussian distributions. Here, we derive general expressions for round off error mean and round off error variance when the rounded variable is any continuous random variable on the real line or any ...
Rui Li, Saralees Nadarajah
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CADNA: a library for estimating round-off error propagation
The CADNA library enables one to estimate round-off error propagation using a probabilistic approach. With CADNA the numerical quality of any simulation program can be controlled. Furthermore by detecting all the instabilities which may occur at run time, a numerical debugging of the user code can be performed.
Jézéquel, Fabienne +1 more
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A Round-Off Error Model with Applications to Arithmetic Expressions
SIAM Journal on Computing, 1979An arithmetic expression is evaluated in a form most suitable to a given computing structure. To select this “suitable form” restructuring algorithms using laws of associativity, commutativity, and distributivity have been proposed. This raises the question of how different ways of evaluating an expression influence the propagation of errors due to ...
Vijay B. Aggarwal, James W. Burgmeier
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Round off error analysis for Gram-Schmidt method and solution of linear least squares problems
Round off error analysis for the classical Gram-Schmidt orthogonalization method with re-orthogonalization is presented. The effect of the round-off error on the orthogonality of the derived vectors and also on the solution of the linear least squares ...
Nabih N Abdelmalek
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Computing, 1975
LetA 1 andA 2 be floating point numbers represented in arbitrary base β and randomly chosen from a logarithmic distribution. Letr denote the round-off error $$r = fl(A_1 * A_2 ) - (A_1 * A_2 )$$ where * is floating point multiplication and wherefl(A 1*A 2 ...
Richard Goodman, Alan Feldstein
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LetA 1 andA 2 be floating point numbers represented in arbitrary base β and randomly chosen from a logarithmic distribution. Letr denote the round-off error $$r = fl(A_1 * A_2 ) - (A_1 * A_2 )$$ where * is floating point multiplication and wherefl(A 1*A 2 ...
Richard Goodman, Alan Feldstein
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Complexity Estimates Depending on Condition and Round-off Error
Journal of the ACM, 1998This paper has two agendas. One is to develop the foundations of round-off in computation. The other is to describe an algorithm for deciding feasibility for polynomial systems of equations and inequalities together with its complexity analysis and its round-off properties. Each role reinforces the other.
Felipe Cucker, Steve Smale
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Accumulation of Round-Off Error in Fast Fourier Transforms
Journal of the ACM, 1970The fast Fourier transform (FFT) is an algorithm to compute the discrete Fourier coefficients with a substantial time saving over conventional methods. The finite word length used in the computer causes an error in computing the Fourier coefficients.
Toyohisa Kaneko, Bede Liu
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