Probabilistic error analysis of gaussian elimination in floating point and logarithmic arithmetic-Reference-Cited by-同舟云学术

Probabilistic error analysis of gaussian elimination in floating point and logarithmic arithmetic

Published:1985-12 Issue:4 Volume:34 Page:349-364
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/BF02251834.pdf

Reference16 articles.

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

2. Barlow, J. L.: Probabilistic error analysis of floating point and CRD arthmetics. Ph. D. Thesis, Northwestern University, Evanston, Illinois (June 1981).

3. Barlow, J. L. Fast a posteriori bounds for roundoff error in Gaussian elimination. Technical Report No. CS-83-20, Department of Computer Science, The Pennsylvania State University, University Park, Pennsylvania (September 1983).

4. Barlow, J. L., Bareiss, E. H.: On roundoff error distributions in floating point and logarithmic arithmetic. Computing34, 325–347 (1985).

5. Barlow, J. L., Bareiss, E. H.: Probabilistic error analysis of Gaussian elimination in floating point and logarithmic arithmetic. Technical Report No. CS-84-21, Department of Computer Science, The Pennsylvania State University, University Park, Pennsylvania (December 1984).

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