On roundoff error distributions in floating point and logarithmic arithmetic-Reference-Cited by-同舟云学术

On roundoff error distributions in floating point and logarithmic arithmetic

Published:1985-12 Issue:4 Volume:34 Page:325-347
ISSN:0010-485X
Container-title:Computing
language:en
Short-container-title:Computing

Author:

Barlow J. L.,Bareiss E. H.

Publisher

Springer Science and Business Media LLC

Subject

Computational Mathematics,Computational Theory and Mathematics,Computer Science Applications,Numerical Analysis,Theoretical Computer Science,Software

Link

http://link.springer.com/content/pdf/10.1007/BF02251833.pdf

Reference23 articles.

1. Bareiss, E. H., Barlow, J. L.: Probabilistic error analysis of computer arithmetics. Northwestern University DOE Report COO-2280-37 (December 1978).

2. Bareiss, E. H., Grau, A. A.: Basics of the CRD computer. Northwestern University ERDA Report COO-2280-35 (August 1977).

3. Barlow, J. L.: Probabilistic error analysis of floating point and CRD arithmetics. Ph. D. Thesis, Northwestern University, Evanston, Illinois (June 1981 [a]).

4. Barlow, J. L.: On the distribution of accumulated roundoff error in floating point arithmetic. Proc. Fifth IEEE Symposium on Computer Arithmetic, Ann Arbor, Michigan (1981 [b]).

5. Barlow, J. L., Bareiss, E. H.: Probabilistic error analysis of Gaussian elimination in floating point and logarithmic arithmetic. Computing34, 349–364 (1985).

Cited by 35 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Probabilistic Rounding Error Analysis of Modified Gram–Schmidt;SIAM Journal on Matrix Analysis and Applications;2024-05-21

2. A Highly-Efficient Error Detection Technique for General Matrix Multiplication using Tiled Processing on SIMD Architecture;2022 IEEE 40th International Conference on Computer Design (ICCD);2022-10

3. Probabilistic Error Analysis for Inner Products;SIAM Journal on Matrix Analysis and Applications;2020-01

4. First digit law from Laplace transform;Physics Letters A;2019-06

5. Application of Benford’s law in Data Analysis;Journal of Physics: Conference Series;2019-02