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IBLIOGRAPHIC DATA
1. Report No.
2.
3. Recipient's Accession No.
MEET
UIUCDCS-R-72-510
Tit It- .mJ Subt itle
5- Report Date-
APPLICATION OF CONTINUED FRACTIONS FOR FAST EVALUATION
March 1972
OF CERTAIN FUNCTIONS ON A DIGITAL COMPUTER
6.
Author(s)
8. Performing Organization Rcpt.
Aranon Bracha
No.
Performing Organization Name and Address
10. Project/Task/Work Unit No.
Department of Computer Science
University of Illinois at Urb ana-Champaign
11. Contract/Grant No.
Urbana, Illinois 61801
US NSF GJ 813
, Sponsoring Organization Name and Address
13. Type of Report & Period
Covered
National Science Foundation
Research
Washington, D.C.
14.
. Supplementary Notes
. Abstracts
A method for fast evaluation of certain elementary functions on a digital
computer, by using continued fractions is developed. The time required for
this evaluation is drastically reduced by using short operations like add and
shift instead of multiplication and division .
Several cases are discussed and convergence to the solution of quadratic
and cubic equations are shown.
. Key Words and Document Analysis. 17a. Descriptors
continued fractions, Riccati equation
>• Identifiers/Open-Ended Terms
c. COSATI Field/Group
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USCOMM-DC 40329-P71