<s>
SNOPT	B-Application
,	O
for	O
Sparse	O
Nonlinear	O
OPTimizer	O
,	O
is	O
a	O
software	O
package	O
for	O
solving	O
large-scale	O
nonlinear	B-Algorithm
optimization	I-Algorithm
problems	O
written	O
by	O
Philip	O
Gill	O
,	O
Walter	O
Murray	O
and	O
Michael	O
Saunders	O
.	O
</s>
<s>
SNOPT	B-Application
is	O
mainly	O
written	O
in	O
Fortran	B-Application
,	O
but	O
interfaces	O
to	O
C	B-Language
,	O
C++	B-Language
,	O
Python	B-Language
and	O
MATLAB	B-Language
are	O
available	O
.	O
</s>
<s>
It	O
employs	O
a	O
sparse	O
sequential	B-Algorithm
quadratic	I-Algorithm
programming	I-Algorithm
(	O
SQP	O
)	O
algorithm	O
with	O
limited-memory	O
quasi-Newton	O
approximations	O
to	O
the	O
Hessian	O
of	O
the	O
Lagrangian	O
.	O
</s>
<s>
SNOPT	B-Application
is	O
used	O
in	O
several	O
trajectory	O
optimization	O
software	O
packages	O
,	O
including	O
Copernicus	O
,	O
AeroSpace	O
Trajectory	O
Optimization	O
and	O
Software	O
(	O
ASTOS	B-Application
)	O
,	O
General	B-Application
Mission	I-Application
Analysis	I-Application
Tool	I-Application
,	O
and	O
Optimal	O
Trajectories	O
by	O
Implicit	O
Simulation	O
(	O
OTIS	O
)	O
.	O
</s>
<s>
It	O
is	O
also	O
available	O
in	O
the	O
Astrogator	O
module	O
of	O
Systems	B-Application
Tool	I-Application
Kit	I-Application
.	O
</s>
<s>
SNOPT	B-Application
is	O
supported	O
in	O
the	O
AIMMS	B-Application
,	O
AMPL	B-Language
,	O
APMonitor	B-Application
,	O
General	B-Application
Algebraic	I-Application
Modeling	I-Application
System	I-Application
(	O
GAMS	O
)	O
,	O
and	O
TOMLAB	B-Application
modeling	O
systems	O
.	O
</s>
