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Bibliography

Aho, A. V., R. Sethi, and J. D. Ullman. Compilers: Principles, Techniques, and Tools. Reading, MA: Addison-Wesley, 1986.

Alefeld, G., and J. Hertzberger. Introduction to Interval Computations. New York: Academic Press, 1983.

American National Standards Institute. Floating-Point C Extensions, prepared by the Floating-Point C Extensions (FPCE) branch of the Numerical C Extensions Group. ANSI X3J11.1/93-028, 1993.

Apple Computer. Apple Numerics Manual, second edition. Reading, MA: Addison-Wesley, 1988.

Apple Computer. Inside Macintosh: PowerPC System Software. Reading, MA: Addison-Wesley, 1994.

Apple Computer. Assembler for Macintosh With PowerPC. Cupertino, CA: Apple Computer, 1994.

Apple Computer. C/C++ Compiler for Macintosh With PowerPC. Cupertino, CA: Apple Computer, 1994.

Brown, W. S. "A Simple but Realistic Model of Floating-Point Computation." ACM Transactions on Mathematical Software Vol. 7, No. 4 (1981).

Cody, W. J. "Floating-Point Standards--Theory and Practice." In Reliability in Computing: The Role of Interval Methods on Scientific Computing, edited by Ramon E. Moore. Boston, MA: Academic Press, 1988.

Cody, W. J., et al. "A Proposed Radix- and Word-Length-Independent Standard for Floating-Point Arithmetic." IEEE Micro Vol. 4, No. 4 (1984).

Coonen, Jerome T. "An Implementation Guide to a Proposed Standard for Floating-Point Arithmetic." IEEE Computer Vol. 13, No. 1 (1980).

Coonen, Jerome T. "Underflow and the Denormalized Numbers." IEEE Computer Vol. 14, No. 3 (1981).

Coonen, Jerome T. "Contributions to a Proposed Standard for Binary Floating-Point Arithmetic." Ph.D. Thesis, University of California at Berkeley, 1984. (Available from University Microfilm, Ann Arbor, MI.)

Dekker, T. J. "A Floating-Point Technique for Extending the Available Precision." Numerisch Mathematik Vol. 18, No. 3 (1971).

Demmel, James. "The Effects of Underflow on Numerical Computation." SIAM Journal on Scientific and Statistical Computing Vol. 5, No. 4 (1984).

Farnum, Charles. "Compiler Support for Floating-Point Computation." Software Practices and Experience Vol. 18, No. 7 (1988).

Fateman, Richard J. "High-Level Language Implications of the Proposed IEEE Floating-Point Standard." ACM Transactions on Programming Languages and Systems Vol. 4, No. 2 (1982).

Floating-Point C Extensions (FPCE) technical report. See American National Standards Institute.

Forsythe, G. E., and C. B. Moler. Computer Solution of Linear Algebraic Systems. Englewood Cliffs, NJ: Prentice-Hall, 1967.

FPCE technical report. See American National Standards Institute.

Goldberg, D. "Computer Arithmetic." In Computer Architecture: A Quantitative Approach, edited by David Patterson and John L. Hennessy. Los Altos, CA: Morgan Kaufmann, 1990.

Golub, G. H., and C. F. Van Loan. Matrix Computations. Baltimore, MD: Johns Hopkins University Press, 1989.

Hough, D. "Applications of the Proposed IEEE 754 Standard for Floating-Point Arithmetic." IEEE Computer Vol. 14, No. 3 (1981).

Institute of Electrical and Electronics Engineers. IEEE Standard for Binary Floating-Point Arithmetic. IEEE Standard 754-1985. New York: IEEE, 1985.

Institute of Electrical and Electronics Engineers. IEEE Standard for Radix-Independent Floating-Point Arithmetic. IEEE Standard 854-1987. New York: IEEE, 1987.

Kahan, W. "Interval Arithmetic Options in the Proposed IEEE Floating-Point Arithmetic Standard." In Interval Mathematics 1980, edited by K. E. L. Nickel. New York: Academic Press, 1980.

Kahan, W. "Rational Arithmetic in Floating-Point." Berkeley, CA: Report No. PAM-343, Center for Pure and Applied Mathematics, University of California, 1986a.

Kahan, W. "To Solve a Real Cubic Equation." Berkeley, CA: Report No. PAM-352, Center for Pure and Applied Mathematics, University of California, 1986b.

Kahan, W. "Branch Cuts for Complex Elementary Functions." In The State of the Art in Numerical Analysis, edited by A. Iserles and M. J. D. Powell. New York: Oxford University Press, 1987.

Kahan, W., and Jerome T. Coonen. "The Near Orthogonality of Syntax, Semantics, and Diagnostics in Numerical Programming Environments." In The Relationship between Numerical Computation and Programming Languages, edited by J. K. Reid. New York: North Holland, 1982.

Kulish, U. W., and W. L. Miranker. "The Arithmetic of the Digital Computers: A New Approach." SIAM Review Vol. 28, No. 1 (1986).

Matula, D. W., and P. Kornerup. "Finite Precision Rational Arithmetic: Slash Number Systems." IEEE Transactions on Computing Vol. C-34, No. 1 (1985).

Moore, R. E. Methods and Applications of Interval Analysis. Society for Industrial and Applied Mathematics, 1979.

Motorola Corporation. PowerPC 601 RISC Microprocessor User's Manual, Motorola Corporation, 1993.

Rice, John R. Numerical Methods, Software, and Analysis, second edition. New York: Academic Press, 1992.

Sterbenz, Pat H. Floating-Point Computation. Englewood Cliffs, NJ: Prentice-Hall, 1974.

Swartzlander, E. E., and G. Alexopoulos. "The Sign/Logarithm Number System." IEEE Transactions on Computing Vol. C-24, No. 12 (1975).


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13 JUL 1996