Review on stochastic approach to round-off error analysis and its applications
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Publication:1116286
DOI10.1016/0378-4754(88)90070-5zbMath0665.65044OpenAlexW2002568155MaRDI QIDQ1116286
Publication date: 1988
Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0378-4754(88)90070-5
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Cites Work
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- An efficient implementation of optimization algorithms
- Stochastic approach of the permutation-perturbation method for round-off error analysis
- Numerical accuracy control in fixed-point arithmetic
- A software for evaluating local accuracy in the Fourier transform
- New methods for evaluating the validity of the results of mathematical computations
- Finding an optimal partition for a numerical integration using the trapezoidal rule
- Détermination d'un pas optimum d'intégration pour la méthode de Simpson
- Linear and non-linear programming software validity
- Méthode numérique de detection de la singularite d'une matrice
- Étude statistique des erreurs dans l'ARITHM<ETIQUE DES ORDINATEURS, APPLICATIONS AU CONTR<OLE DES R<ESULTTS D'algorithmes numériques
- Evaluation de l'incertitude sur la solution d'un système linéaire
- Implémentation des méthodes d'optimisation : test d'arrêt optimal, contrôle et précision de la solution (II)
- An algorithm for automatic round-off error analysis in discrete linear transforms
- On the Distribution of Numbers