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Floating-Point Tricks

IEEE Computer Graphics and Applications, 1997
The author discusses IEEE floating point representation that stores numbers in what amounts to scientific notation. He considers the sign bit, the logarithm function, function approximations, errors and refinements.
Gerben J. Hekstra, Ed F. Deprettere
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On Floating-Point Summation [PDF]

open access: yesSIAM Review, 1995
In this paper we focus on some general error analysis results in floating-point summation. We emphasize analysis that is useful from both a scientific and a teaching point of view.
exaly   +3 more sources

Beyond Floating Point

Journal of the ACM, 1984
A new number system is proposed for computer arithmetic based on iterated exponential functions. The main advantage is to eradicate overflow and underflow, but there are several other advantages and these are described and discussed.
C. W. Clenshaw, Frank W. J. Olver
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Tapered Floating Point: A New Floating-Point Representation

IEEE Transactions on Computers, 1971
It is well known that there is a possible tradeoff in the binary representation of floating-point numbers in which one bit of accuracy can be gained at the cost of halving the exponent range, and vice versa. A way in which the exponent range can be greatly increased while preserving full accuracy for most computations is suggested.
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