Relevant bibliographies by topics / Rounding error analysis

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  1. Journal articles

Academic literature on the topic 'Rounding error analysis'

Author: Grafiati
Published: 25 May 2024

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Journal articles on the topic "Rounding error analysis"

1

Connolly, Michael P., and Nicholas J. Higham. "Probabilistic Rounding Error Analysis of Householder QR Factorization." SIAM Journal on Matrix Analysis and Applications 44, no. 3 (2023): 1146–63. http://dx.doi.org/10.1137/22m1514817.

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2

Kolomys, Olena, and Liliya Luts. "Algorithm for Calculating Primary Spectral Density Estimates Using FFT and Analysis of its Accuracy." Cybernetics and Computer Technologies, no. 2 (September 30, 2022): 52–57. http://dx.doi.org/10.34229/2707-451x.22.2.5.

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Introduction. Fast algorithms for solving problems of spectral and correlation analysis of random processes began to appear mainly after 1965, when the algorithm of fast Fourier transform (FFT) entered computational practice. With its appearance, a number of computational algorithms for the accelerated solution of some problems of digital signal processing were developed, speed-efficient algorithms for calculating such estimates of probabilistic characteristics of control objects as estimates of convolutions, correlation functions, spectral densities of stationary and some types of non-station
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3

Connolly, Michael P., Nicholas J. Higham, and Theo Mary. "Stochastic Rounding and Its Probabilistic Backward Error Analysis." SIAM Journal on Scientific Computing 43, no. 1 (2021): A566—A585. http://dx.doi.org/10.1137/20m1334796.

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4

Cuyt, Annie, and Paul Van der Cruyssen. "Rounding error analysis for forward continued fraction algorithms." Computers & Mathematics with Applications 11, no. 6 (1985): 541–64. http://dx.doi.org/10.1016/0898-1221(85)90037-9.

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5

Higham, Nicholas J., and Theo Mary. "A New Approach to Probabilistic Rounding Error Analysis." SIAM Journal on Scientific Computing 41, no. 5 (2019): A2815—A2835. http://dx.doi.org/10.1137/18m1226312.

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6

Zou, Qinmeng. "Probabilistic Rounding Error Analysis of Modified Gram–Schmidt." SIAM Journal on Matrix Analysis and Applications 45, no. 2 (2024): 1076–88. http://dx.doi.org/10.1137/23m1585817.

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7

Mezzarobba, Marc. "Rounding error analysis of linear recurrences using generating series." ETNA - Electronic Transactions on Numerical Analysis 58 (2023): 196–227. http://dx.doi.org/10.1553/etna_vol58s196.

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8

Kiełbasiński, Andrzej. "A note on rounding-error analysis of Cholesky factorization." Linear Algebra and its Applications 88-89 (April 1987): 487–94. http://dx.doi.org/10.1016/0024-3795(87)90121-2.

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9

Journal, Baghdad Science. "A Note on the Perturbation of arithmetic expressions." Baghdad Science Journal 13, no. 1 (2016): 190–97. http://dx.doi.org/10.21123/bsj.13.1.190-197.

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In this paper we present the theoretical foundation of forward error analysis of numerical algorithms under;• Approximations in "built-in" functions.• Rounding errors in arithmetic floating-point operations.• Perturbations of data.The error analysis is based on linearization method. The fundamental tools of the forward error analysis are system of linear absolute and relative a prior and a posteriori error equations and associated condition numbers constituting optimal of possible cumulative round – off errors. The condition numbers enable simple general, quantitative bounds definitions of num
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10

Rudikov, D. A., and A. S. Ilinykh. "Error analysis of the cutting machine step adjustable drive." Journal of Physics: Conference Series 2131, no. 2 (2021): 022046. http://dx.doi.org/10.1088/1742-6596/2131/2/022046.

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Abstract The implementation precision of a number of adjustment bodies of a metal-cutting machine is also the most important indicator of its quality, a strictly standardized industry standard, technical conditions for manufacturing and acceptance. Moreover, the standard for limiting the error is set depending on the used denominator of the series. An essential feature of the precision of the series being implemented is that it is determined not by an error in parts’ manufacturing, but by the disadvantages of the used method of kinematic calculation. The established modes largely determine the
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