Improved Trailing Digits Estimates Applied to Optimal Computer Arithmetic

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Improved Trailing Digits Estimates Applied to Optimal Computer Arithmetic

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Journal of the ACM (JACM) archive
Volume 26 , Issue 4 (October 1979) table of contents

Pages: 716 - 730

Year of Publication: 1979

ISSN:0004-5411

Authors

Joaquín Bustoz	Department of Mathematics, Arizona State University, Tempe, AZ and University of Miami, Coral Gables, Florida
Alan Feldstein	Department of Mathematics, Arizona State University, Tempe, AZ and University of Miami, Coral Gables, Florida
Richard Goodman	Department of Mathematics, University of Miami, Coral Gables, FL and Arizona State University, Tempe, Arizona
Seppo Linnainmaa	Lappeenranta University of Technology, Box 57, SF-53101, Lappeenranta 10, Finland and University of Helsinki, Helsinki, Finland

Publisher

ACM New York, NY, USA

Bibliometrics

Downloads (6 Weeks): 5, Downloads (12 Months): 23, Citation Count: 1

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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	BRENT, R On the precision attainable with various floating-point number systems IEEE Trans Comptrs C.22, 6 (June 1973), 601-607.
	2	CODY, W J Static and dynamic numerical characteristics of floating-point arithmeuc IEEE Trans Comptrs C-22, 6 (June 1973), 598-601
	3	Alan Feldstein , Richard Goodman, Convergence Estimates for the Distribution of Trailing Digits, Journal of the ACM (JACM), v.23 n.2, p.287-297, April 1976 [doi>10.1145/321941.321948]
	4	FELDSTEIN, A. AND GOODMAN, R A con3ecture on a fimte and an mfimte product. SIAM ReD. 18 (July 1976), 490-491
	5	GOODMAN, R, AND FELDSTEIN, A Round-off error In products. Computing 15 (1975), 263-273
	6	GOODMAN, R, AND FELDSTEIN, A Effect of guard digits and normalization options on floating-point multiplication. Computing 18 (1977), 93-106
	7	Toyohisa Kaneko , Bede Liu, On Local Roundoff Errors in Floating-Point Arithmetic, Journal of the ACM (JACM), v.20 n.3, p.391-398, July 1973 [doi>10.1145/321765.321771]
	8	KNOPP, K Theory and Apphcation of infimte Series Hafner Publishing Co, New York, 1947
	9	Donald E. Knuth, The art of computer programming, volume 2 (3rd ed.): seminumerical algorithms, Addison-Wesley Longman Publishing Co., Inc., Boston, MA, 1997
	10	H. Kuki , W. J. Cody, A statistical study of the accuracy of floating point number systems, Communications of the ACM, v.16 n.4, p.223-230, April 1973 [doi>10.1145/362003.362013]
	11	LINNAINMAA, S Towards accurate statistical estimation of rounding errors in floating-point computations BIT 15 (1975), 165-173
	12	RAINVILLE, E D Spec:al Functions. MacMillan, New York, 1960
	13	S, ERnI~NZ, P.H. Floating-Point Computauon Prent,ce-HalL Englewood Chffs, New Jersey, 1974.
	14	Nai-Kuan Tsao, On the distributions of significant digits and roundoff errors, Communications of the ACM, v.17 n.5, p.269-271, May 1974 [doi>10.1145/360980.360998]
	15	WOUK, A.On digit dtstnbution for random variable. J Soc Indust. AppI Math. 9 (196 i), 597-603