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Computation of √x
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Source Symposium on Applied Computing archive
Proceedings of the 1999 ACM symposium on Applied computing table of contents
San Antonio, Texas, United States
Pages: 74 - 77  
Year of Publication: 1999
ISBN:1-58113-086-4
Authors
Nabil Rousan  P.O. Box 7 Karak, JORDAN
Hani Abu-Salem  P.O. Box 7 Karak, JORDAN
Sponsors
SIGADA: ACM Special Interest Group on Ada Programming Language
SIGCUE: ACM Special Interest Group on Computer Uses In Education
SIGAPP: ACM Special Interest Group on Applied Computing
SIGBIO: ACM Special Interest Group on Biomedical Computing
Publisher
ACM  New York, NY, USA
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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
Andrews, M., McCormick, S. F., and Taylor, G. D. Evaluation of Functions on Microcomputers: Square Root. Int'l Journal of Computers and Mathmatics, Voi. 4, No. 4, 1978.
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Taylor, G. D. Optimal Starting Approximations for Newton's Method. d. Approximation Theory, Vol. 3, 1970, pp. 156-163.
 
4
Andrews, M. Mathematical Microprocessor Software: A ~x Comparison. IEEE Micro, Vol. 2, No. 2, May 1982, pp. 63-79.
 
5
Chen, T. C. The Automatic Computation of Exponential, Logarithms, Ratios, and Square Roots. IBM Research report RJ970, 1972, p. 32.
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8
Ninomiya, I. Best Rational Starting Approximations and Improved Newton Iteration for Square Root. Math. Comp., Vol. 24, 1970, pp. 391-404.
 
9
Phillips, D. L. Generalized Logarithmic Error and Newton's Method. Math. Comp., Vol. 23, 1969, pp. 383-389.
 
10
Sterbenz, P. H. and Fike, C. T. Optimal Starting Approximations for Newton's Method. Math. Comp., Vol. 23, 1969, pp. 313-318.
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Bartle, R. G. The Elements ofRealAnalysis, 2ed, John Wiley & Sons, Inc., 1964
 
13
Montuschi, P. and Mezzalama, P.M., Survey of Square Root Algorithms. Computers and Digital Techniques, lEE Proceedings E., Vol. 137, No. 1, Jan. 1990, pp. 31-40.
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Park, P. and Kailath, T., New Square-mot Smoothing Algorithms. Proceedings of 33rd Conference on Decision and Control, Lake Buena Vista, FL Dec. 1994, pp. 1215-1220.
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Montuschi, P. and Mezzalanm, P.M., Optimal absolute error starting values for Newton-Raphson c, aleulation of Square Root. Internal Report DAI/ARC 3-86, Dipartimento di Automatica ~ Informatica, Politecnico di Torino, torino, italy, 1986.
 
19
Montuschi, P. and Ciminiera, L, On the efficient implementation of higher radix square root algorithms. Proceedings 9~ Symposium on Computer Ari~ , Santa Monica, CA, Sept. 1989.
 
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Collaborative Colleagues:
Nabil Rousan: colleagues
Hani Abu-Salem: colleagues