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Significance arithmetic on a digital computer
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Communications of the ACM archive
Volume 6 ,  Issue 3  (March 1963) table of contents
Pages: 111 - 117  
Year of Publication: 1963
ISSN:0001-0782
Author
Max Goldstein  Courant Institute of Mathematical Sciences, New York Univ., New York, NY
Publisher
ACM  New York, NY, USA
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Downloads (6 Weeks): 2,   Downloads (12 Months): 22,   Citation Count: 3
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ABSTRACT

The 7090 at NYU has been modified to include a “Significance Mode” of operation which is intended to facilitate the identification of significant bits in the results of floating-point arithmetic operations. The manner in which floating-point arithmetic is handled in this mode is discussed. Several numerical experiments using this mode are described and comparisons are made with the ordinary “normalized mode.” Examples include power series evaluation, linear equations solution, determinant evaluation and matrix inversion.


REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

 
1
RICHTMYER, R. D., The estimation of significance. AEC Research and Development Report NYO-9083 (1960).
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LEWIS, G., Two methods using power series for solving analytic initial value problems. AEC Research and Development Report NYO-2881 (1960).
 
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RICHTMYER, R. D., Detached-shock calculation by power series, I. AEC Research and Development Report NYO- 7973 (1957). {Also see RICHTMYER R. D., Power series solution, by machine of a nonlinear problem in two-dimensional fluid flow. Ann. N. Y. Acad. Sci. 86 (1960), 828-843.1
 
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GILL, S., A process for the step-by-step integration of differential equations in an automatic digital computing machine. Proc. Cambridge Philos. Soc. 47, p. 1, 96-108.