<s>
Karlsruhe	B-Algorithm
Accurate	I-Algorithm
Arithmetic	I-Algorithm
(	O
KAA	B-Algorithm
)	O
or	O
Karlsruhe	B-Algorithm
Accurate	I-Algorithm
Arithmetic	I-Algorithm
Approach	I-Algorithm
(	O
KAAA	B-Algorithm
)	O
,	O
augments	O
conventional	O
floating-point	B-Algorithm
arithmetic	I-Algorithm
with	O
good	O
error	O
behaviour	O
with	O
new	O
operations	O
to	O
calculate	O
scalar	O
products	O
with	O
a	O
single	O
rounding	O
error	O
.	O
</s>
<s>
The	O
foundations	O
for	O
KAA	B-Algorithm
were	O
developed	O
at	O
the	O
University	O
of	O
Karlsruhe	B-Algorithm
starting	O
in	O
the	O
late	O
1960s	O
.	O
</s>
