Results 251 to 260 of about 179,143 (282)

Reduce Rounding Off Errors in Information Dispersal Algorithm

2019 International Conference on Computer, Control, Informatics and its Applications (IC3INA), 2019
The Information Dispersal Algorithm (IDA) is an algorithm that can be used to store files securely. Files and data packets can be broken down at the bit level into several parts and then saved to separate nodes. IDA requires a matrix generator in the form of the Vandermonde matrix and the Cauchy matrix to split and reconstruct files.
Ardhi Wijayanto, Bambang Harjito
openaire   +1 more source

CADNA: a library for estimating round-off error propagation

Computer Physics Communications, 2008
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, Chesneaux, Jean-Marie   +1 more
openaire   +2 more sources

Automatic propagated and round-off error analysis

Preprints of papers presented at the 13th national meeting of the Association for Computing Machinery on - ACM '58, 1958
The routine described below is a modification of the Carnegie Tech (IT) Compiler system for the IBM-650, which will provide automatic empirical analysis of propagated and round-off errors in computation. In the modified system, three kinds of variables are admissable: fixed-point integers called I-variables; floating-point numbers called C-variables ...
openaire   +1 more source

An efficient stochastic method for round-off error analysis

1986
This paper presents a survey of research results obtained by the authors and by their team, on the round-off error propagation and the accuracy of mathematical computations.
J. Vignes, René Alt
openaire   +1 more source

Round-off errors in Richardson's extrapolation method

USSR Computational Mathematics and Mathematical Physics, 1987
The authors study the influence of the round-off errors on the coefficients in the Richardson extrapolation, under the assumption that these errors are of the form \(\omega h^{-1}\) or \(\omega h^{-2}\) where \(\omega\) is the mean value of a random variable.
Vilenkin, S. Ya., Kalashyan, A. N.
openaire   +2 more sources

A Branch-and-bound Algorithm to Rigorously Enclose the Round-Off Errors

International Conference on Principles and Practice of Constraint Programming, 2020
Rémy Garcia, C. Michel, M. Rueher
semanticscholar   +1 more source

Round-off errors in inter-experimental comparisons

Acta Crystallographica Section A Foundations of Crystallography, 1985
Two independent determinations of the same structure may be compared by means of statistical techniques such as normal probability plots and χ2 hypothesis tests. Computer simulations show that errors may arise in the application of these techniques if rounded estimates of structural parameters and their e.s.d.s are used in the calculations.
R. Taylor, O. Kennard
openaire   +1 more source

The Increase and Cumulation of Round-Off Errors

1970
To give an impression of how fast round-off errors may increase even in a not really ill-conditioned case, a short numerical example shall be discussed before reporting the results of the computer runs. The problem is to compute $${\rm{e}}\,{\rm{ = }}\,{\rm{a}}\,{\rm{ - }}\,{\rm{b}}{\rm{.c}}$$ and $${\rm{g}}\,{\rm{ = }}\,{\rm{d}}\,{\rm{ - }}\
openaire   +1 more source

Finding Round-Off Error Using Symbolic Execution

2014
Overflow and round-off error has been a research problem for decades. With the explosion of mobile and embedded devices, many software programs written for personal computer are now ported to run on embedded systems. The porting often requires changing floating-point numbers and operations to fixed-point ones and here round-off error between the two ...
Anh-Hoang Truong, Huy-Vu Tran, Bao-Ngoc Nguyen   +2 more
openaire   +1 more source

On round-off error in fixed-point multiplication

BIT, 1976
We enumerate the round-off errors in fixed point multiplication both for rounding by chopping and for symmetric rounding. Then we compute the mean and variance of the round-off error. For symmetric rounding, the formulas differ for an odd base β vs an even base β.
openaire   +1 more source