<s>
Integrable	B-Algorithm
algorithms	I-Algorithm
are	O
numerical	B-General_Concept
algorithms	I-General_Concept
that	O
rely	O
on	O
basic	O
ideas	O
from	O
the	O
mathematical	O
theory	O
of	O
integrable	O
systems	O
.	O
</s>
<s>
The	O
theory	O
of	O
integrable	O
systems	O
has	O
advanced	O
with	O
the	O
connection	O
between	O
numerical	B-General_Concept
analysis	I-General_Concept
.	O
</s>
<s>
Today	O
,	O
various	O
relations	O
between	O
numerical	B-General_Concept
analysis	I-General_Concept
and	O
integrable	O
systems	O
have	O
been	O
found	O
(	O
Toda	O
lattice	O
and	O
numerical	O
linear	O
algebra	O
,	O
discrete	O
soliton	O
equations	O
and	O
series	B-Algorithm
acceleration	I-Algorithm
)	O
,	O
and	O
studies	O
to	O
apply	O
integrable	O
systems	O
to	O
numerical	B-General_Concept
computation	I-General_Concept
are	O
rapidly	O
advancing	O
.	O
</s>
