<s>
GLOP	B-Algorithm
(	O
the	B-Application
Google	I-Application
Linear	B-Algorithm
Optimization	I-Algorithm
Package	O
)	O
is	O
Google	B-Application
's	I-Application
open	O
source	O
linear	B-Algorithm
programming	I-Algorithm
solver	O
,	O
created	O
by	O
Google	B-Application
's	I-Application
.	O
</s>
<s>
It	O
is	O
written	O
in	O
C++	B-Language
and	O
was	O
released	O
to	O
the	O
public	O
as	O
part	O
of	O
Google	B-Application
's	I-Application
software	O
suite	O
in	O
2014	O
.	O
</s>
<s>
GLOP	B-Algorithm
uses	O
a	O
revised	O
primal-dual	O
simplex	B-Algorithm
algorithm	I-Algorithm
optimized	O
for	O
sparse	B-Algorithm
matrices	I-Algorithm
.	O
</s>
<s>
It	O
uses	O
Markowitz	O
pivoting	O
to	O
reduce	O
matrix	O
fill-in	O
,	O
steepest-edge	O
pricing	O
to	O
avoid	O
degenerate	O
pivots	O
,	O
and	O
an	O
LU	O
decomposition	O
tailored	O
for	O
sparse	B-Algorithm
matrices	I-Algorithm
.	O
</s>
<s>
Inside	O
Google	B-Application
,	O
GLOP	B-Algorithm
is	O
used	O
to	O
stabilize	O
YouTube	O
videos	O
and	O
outside	O
Google	B-Application
,	O
it	O
has	O
been	O
used	O
to	O
perform	O
fast	O
linear	O
relaxations	O
for	O
reinforcement	O
learning	O
.	O
</s>
