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Evaluation Method and Simulation Analysis of Gap Roundness Error
Applied Mechanics and Materials, 2009Theoretical analysis of existing evaluation method of gap roundness error and existing evaluation model of full roundness error is provided. Mathematical model of gap roundness error’s evaluation with least square method is founded based on the evaluation model of full roundness error, which gives a solution of gap roundness error.
Lei Zhang +3 more
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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, 1958The 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 ...
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Round-Robin Analysis of Social Interaction: Exact and Estimated Standard Errors
Psychometrika, 1996Kenny has proposed a variance-components model for dyadic social interaction. His Social Relations model estimates variances and covariances from a round-robin of two-person interactions. The current paper presents a matrix formulation of the Social Relations model.
Bond, Charles F. jun., Lashley, Brian R.
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A quantitative analysis of roundness error in cylindrical chuck grinding
International Journal of Machine Tool Design and Research, 1981Abstract Variables that affect the form inaccuracy of roundness in cylindrical chuck grinding have been recognized only in a qualitative manner. This paper presents a new experimental technique which allows the simultaneous and on-line measurement of roundness.
S.B. Rao, J.F. Collins, S.M. Wu
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Rounding error analysis of the triangular lattice and escalator algorithms
ICASSP '86. IEEE International Conference on Acoustics, Speech, and Signal Processing, 1988AbstractThis paper deals with the Triangular lattice (TL) and Escalator (ES) algorithms for recursive least squares filtering problems. First, systolic array implementations of these algorithms are compared. Next, analysis of fixed point errors for the normalized TL and ES algorithms are performed and the expressions for the steady state biases in the ...
Youji Iiguni +2 more
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Probabilistic Rounding Error Analysis of Modified Gram–Schmidt
SIAM Journal on Matrix Analysis and ApplicationszbMATH Open Web Interface contents unavailable due to conflicting licenses.
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An efficient stochastic method for round-off error analysis
1986This 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, R. Alt
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Rounding Error Analysis of Elementary Numerical Algorithms
1980The paper presents a new rounding error analysis of product and summation algorithms, Horner’s scheme, evaluations of finite continued fractions, computations of determinants of tridiagonal systems, of determinants of second order and a ’fast’ complex multiplication.
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Inner product rounding error analysis in the presence of underflow
Computing, 1985Wilkinson's classical error analysis for sums and inner products is extended to the case where underflow may occur. This is relevant for the construction of rigorous error bounds for an inner product evaluated on computers which do not give underflow messages. The analysis also covers calculations with gradual underflow.
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Towards Verified Rounding Error Analysis for Stationary Iterative Methods
2022 IEEE/ACM Sixth International Workshop on Software Correctness for HPC Applications (Correctness), 2022Ariel Kellison +3 more
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