<s>
In	O
combination	O
with	O
the	O
built-in	O
Monte	B-Algorithm
Carlo	I-Algorithm
method	I-Algorithm
capabilities	O
it	O
allowed	O
prediction	O
of	O
the	O
performance	O
of	O
electronic	O
circuits	O
under	O
a	O
wide	O
range	O
of	O
material	O
parameters	O
and	O
temperatures	O
.	O
</s>
<s>
ASTAP	B-Algorithm
was	O
designed	O
to	O
run	O
on	O
IBM	O
Mainframe	B-Architecture
computers	I-Architecture
.	O
</s>
<s>
Its	O
algorithms	O
were	O
developed	O
by	O
IBM	O
electrical	O
engineers	O
,	O
especially	O
Robert	B-Algorithm
Brayton	I-Algorithm
,	O
Gary	O
Hachtel	O
,	O
and	O
Fred	O
Gustavson	O
.	O
</s>
<s>
Unlike	O
SPICE	B-Protocol
,	O
which	O
used	O
Modified	O
nodal	O
analysis	O
(	O
MNA	O
)	O
to	O
form	O
the	O
system	O
of	O
circuit	O
equations	O
,	O
ASTAP	B-Algorithm
instead	O
used	O
sparse	O
tableau	O
approach	O
(	O
STA	O
)	O
to	O
construct	O
and	O
solve	O
a	O
sparse	B-Algorithm
matrix	I-Algorithm
.	O
</s>
<s>
The	O
sparse	O
tableau	O
formulation	O
produced	O
very	O
large	O
,	O
very	O
sparse	B-Algorithm
matrices	I-Algorithm
which	O
required	O
special	O
techniques	O
to	O
solve	O
efficiently	O
,	O
even	O
at	O
that	O
time	O
.	O
</s>
