<s>
In	O
computational	B-Algorithm
mechanics	I-Algorithm
,	O
Guyan	B-Algorithm
reduction	I-Algorithm
,	O
also	O
known	O
as	O
static	O
condensation	O
,	O
is	O
a	O
dimensionality	B-Algorithm
reduction	I-Algorithm
method	O
which	O
reduces	O
the	O
number	O
of	O
degrees	O
of	O
freedom	O
by	O
ignoring	O
the	O
inertial	O
terms	O
of	O
the	O
equilibrium	O
equations	O
and	O
expressing	O
the	O
unloaded	O
degrees	O
of	O
freedom	O
in	O
terms	O
of	O
the	O
loaded	O
degrees	O
of	O
freedom	O
.	O
</s>
<s>
Thus	O
,	O
the	O
Guyan	B-Algorithm
reduction	I-Algorithm
method	O
results	O
in	O
a	O
reduced	O
system	O
by	O
condensing	O
away	O
the	O
slave	O
degrees	O
of	O
freedom	O
.	O
</s>
<s>
The	O
Guyan	B-Algorithm
reduction	I-Algorithm
can	O
also	O
be	O
expressed	O
as	O
a	O
change	O
of	O
basis	O
which	O
produces	O
a	O
low-dimensional	O
representation	O
of	O
the	O
original	O
space	O
,	O
represented	O
by	O
the	O
master	O
degrees	O
of	O
freedom	O
.	O
</s>
<s>
where	O
represents	O
the	O
Guyan	B-Algorithm
reduction	I-Algorithm
transformation	B-Algorithm
matrix	I-Algorithm
.	O
</s>
<s>
In	O
the	O
above	O
equation	O
,	O
represents	O
the	O
reduced	O
system	O
of	O
linear	O
equations	O
that	O
's	O
obtained	O
by	O
applying	O
the	O
Guyan	B-Algorithm
reduction	I-Algorithm
transformation	O
on	O
the	O
full	O
system	O
,	O
which	O
is	O
expressed	O
as	O
:	O
</s>
