On Local Roundoff Errors in Floating-Point Arithmetic
Journal of the ACM (JACM)
A statistical study of the accuracy of floating point number systems
Communications of the ACM - Special 25th Anniversary Issue
Communications of the ACM
A Generic Library for Floating-Point Numbers and Its Application to Exact Computing
TPHOLs '01 Proceedings of the 14th International Conference on Theorem Proving in Higher Order Logics
Analysis of Rounding Methods in Floating-Point Arithmetic
IEEE Transactions on Computers
Computer Representation of Real Numbers
IEEE Transactions on Computers - Lecture notes in computer science Vol. 174
A Survey of Some Recent Contributions to Computer Arithmetic
IEEE Transactions on Computers
On the Precision Attainable with Various Floating-Point Number Systems
IEEE Transactions on Computers
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The appearance of hexadecimal floating-point arithmetic systems has prompted a continuing discourse on the relative numerical merits of various choices of base. Until lately this discourse has centered around the static properties of the floating-point representation of numbers, and has primarily concerned only binary and hexadecimal representations. Recent events may change this discourse considerably. A third numerically attractive alternative for the choice of base has been proposed, and a comparison of the dynamic numerical properties of floating-point arithmetic systems has been completed. This paper surveys these recent events and summarizes our current knowledge of the numerical characteristics of floating-point arithmetic systems.