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Floating-Point Arithmetic

2019
You already know about integer arithmetic; now we will introduce some floating-point computations. There is nothing difficult here; a floating-point value has a decimal point in it and zero or more decimals. We have two kinds of floating-point numbers: single precision and double precision.
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Floating point arithmetic and digital filters

IEEE Transactions on Signal Processing, 1992
The roundoff noise properties of floating point digital filters are examined. To make the analysis tractable, a high level model to deal with the errors in the inner product operation is developed. This model establishes a broad connection between coefficient sensitivity and roundoff noise.
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Is Floating-Point. Arithmetic Still Adequate?

1988
For complicated numerical problems, the error analysis has to be performed by the computer. Several methods for automated error analysis are known. Floating-point arithmetic has to be augmented and programming languages for scientific computation have to be provided (PASCAL-SC and FORTRAN-SC) for that purpose.
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Accurate and Reliable Computing in Floating-Point Arithmetic

2010
Methods will be discussed on how to compute accurate and reliable results in pure floating-point arithmetic. In particular, verification methods with INTLAB and error-free transformations will be presented in some detail.
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Rational Arithmetic in Floating-Point.

1986
Abstract : Calculating M/N := A/B + or - C/D in lowest terms, given the integers A, B, C and D, is a task in Elementary schools; and it is an easy exercise in Computer Programming too provided the given integers must be less than half as wide as the widest integers that can be handled conveniently by the computer's hardware or by its programming ...
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Floating Point Arithmetic Circuits

1979
Floating-point arithmetic in hardware still belongs to the more or less expensive extras of many types of computers. The algorism of floating point computation requires more circuits than the ordinary integer arithmetic circuits. A number of these circuits will be discussed in later sections of this chapter.
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FLOATING-POINT ARITHMETIC

1981
Ulrich W. Kulisch, Willard L. Miranker
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Floating-point arithmetic in COBOL

Communications of the ACM, 1962
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Floating-Point Arithmetic

2017
Sylvie Boldo, Guillaume Melquiond
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What every computer scientist should know about floating-point arithmetic

ACM Computing Surveys, 1991
David Goldberg
exaly