Results 221 to 230 of about 27,399 (256)

Rounding error analysis of interpolation procedures

Computing, 1984
This paper provides a rounding error analysis for the classical interpolation procedures according to Wilkinson. Interpolation points are assumed as equidistant and ordered by size, and all initial data are given machine numbers. The error bounds obtained for the Lagrange and Neville procedures are almost identical, while for the Newton procedure they ...
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Dealing with Rounding Errors in Geometry Processing

2015
Processing geometric data on computer systems poses interesting challenges. The limited representation in a computer system, combined with the wide variety of calculations can result in robustness problems. As a result of this, it is for example possible that the exact intersection point of two lines cannot be represented by the computer system and its
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A Unified Rounding Error Bound for Polynomial Evaluation

Advances in Computational Mathematics, 2003
The author presents a rounding error bound with the same general form for the evaluation of a polynomial written in any polynomial base when the evaluation algorithm can be expressed as a linear recurrence or a first-order linear matrix recurrence relation. In these bounds the condition number of the polynomials appears in a natural way.
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A New Roundness Error Evaluation Method

Proceedings of the 2022 2nd International Conference on Control and Intelligent Robotics, 2022
Zhiyong Zhang, Yonggang Zhu, Guilu Wang
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Weight-Rounding Error in Deep Neural Networks

Current AI technologies based on deep neural networks (DNNs) are computationally extremely demanding, which limits their widespread deployment in embedded devices with constrained energy resources (e.g. battery-powered smartphones). One possible approach to solving this problem is to reduce the precision of weight parameters, which can save an enormous
Jiří Šíma, Petra Vidnerová
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Stochastic Rounding and Its Probabilistic Backward Error Analysis

SIAM Journal of Scientific Computing, 2021
Nicholas Higham, Theo Mary
exaly  

Rounding Errors in Algebraic Processes

2023
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A S-Shape Feedrate Scheduling Method With Rounding Error Elimination

International Journal of Advanced Manufacturing Technology, 2023
Yujun Yang
exaly  

Round-off error

Analytical Chemistry, 1980
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Rounding error and misallocation

Economics Letters
Jing Hang, Di Lu, Wenbiao Sha
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