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Epidemiology of Rounding Error [PDF]
MedicinaThis work represents a significant contribution to understanding the importance of appropriately rounding numbers with minimal error. That is, to reduce inexact rounding and data truncation error and simultaneously eliminate unintentional misleading ...
Jimmy T. Efird
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Stochastic rounding: implementation, error analysis and applications [PDF]
Royal Society Open Science, 2022 Stochastic rounding (SR) randomly maps a real number x to one of the two nearest values in a finite precision number system. The probability of choosing either of these two numbers is 1 minus their relative distance to x.
Matteo Croci +4 more
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A New Approach to Probabilistic Rounding Error Analysis [PDF]
SIAM Journal of Scientific Computing, 2019 Summary: Traditional rounding error analysis in numerical linear algebra leads to backward error bounds involving the constant \(\gamma_n = nu/(1-nu)\), for a problem size \(n\) and unit roundoff \(u\). In light of large-scale and possibly low-precision computations, such bounds can struggle to provide any useful information.
Nicholas J Higham, Theo Mary
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MathematicsThe cubature Kalman filter (CKF) cannot accurately estimate the nonlinear model, and these errors will have an impact on the accuracy. In order to improve the filtering performance of the CKF, this paper proposes a new CKF method to improve the ...
Haiyang Zhang, Chenglin Wen
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Implementation of a Low-Cost Navigation System Using Data Fusion of a Micro-Electro-Mechanical System Inertial Sensor and an Ultra Short Baseline on a Microcontroller [PDF]
SensorsIn this work, a low-cost low-power navigation solution for autonomous underwater vehicles is introduced utilizing a Micro-Electro-Mechanical System (MEMS) inertial sensor and an ultra short baseline (USBL) system.
Julian Winkler, Sabah Badri-Hoeher
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Rounding-Error Analysis of Multigrid \({V}\)-Cycles
SIAM Journal of Scientific ComputingThis paper provides a rounding-error analysis for two-grid methods that use one relaxation step both before and after coarsening. The analysis is based on floating point arithmetic and focuses on a two-grid scheme that is perturbed on the coarse grid to allow for an approximate coarse-grid solve.
Rasmus Tamstorf
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Using Rounding Errors in Modern Computer Technologies
Кібернетика та комп'ютерні технології, 2021 Introduction. When solving problems of transcomputational complexity, the problem of evaluating the rounding error is relevant, since it can be dominant in evaluating the accuracy of solving the problem.
Valerii Zadiraka, Inna Shvidchenko
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Design and Implementation of Multithreaded Reproducible DGEMV for Phytium Processor [PDF]
Jisuanji kexue, 2022 In high-performance computing,the accumulation of rounding error in the process of solving the large-scale,long time and ill-conditioned problem will lead to invalidated results.These results are useful for the developers to debug programs and check ...
CHEN Lei, TANG Tao, QI Hai-jun, JIANG Hao, HE Kang
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Sensors, 2022 Multi-robot motion and observation generally have nonlinear characteristics; in response to the problem that the existing extended Kalman filter (EKF) algorithm used in robot position estimation only considers first-order expansion and ignores the higher-
Miao Wang, Weifeng Liu, Chenglin Wen
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Periodic template compensation phase feeding method for phased array antenna
IET Microwaves, Antennas & Propagation, 2023 To minimise the beam‐pointing error caused by the digital phase shifter in phased array antenna systems, a periodic template compensation (PTC) phase feeding algorithm is proposed in this study.
Renli Zhang +3 more
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