Karlsruhe Accurate Arithmetic (KAA), or Karlsruhe Accurate Arithmetic Approach (KAAA), augments conventional
floating-point arithmetic
In computing, floating-point arithmetic (FP) is arithmetic on subsets of real numbers formed by a ''significand'' (a Sign (mathematics), signed sequence of a fixed number of digits in some Radix, base) multiplied by an integer power of that ba ...
with good error behaviour with new operations to calculate
scalar product
In mathematics, the dot product or scalar productThe term ''scalar product'' means literally "product with a scalar as a result". It is also used for other symmetric bilinear forms, for example in a pseudo-Euclidean space. Not to be confused wit ...
s with a single rounding error.
The foundations for KAA were developed at the
University of Karlsruhe
The Karlsruhe Institute of Technology (KIT; ) is both a German public university, public research university in Karlsruhe, Baden-Württemberg, and a research center of the Helmholtz Association.
KIT was created in 2009 when the University of Ka ...
starting in the late 1960s.
See also
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Ulrich W. Kulisch
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References
Further reading
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Computer arithmetic
Numerical analysis
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