<s>
Wilson	B-Algorithm
matrix	I-Algorithm
is	O
the	O
following	O
matrix	O
having	O
integers	O
as	O
elements	O
:	O
</s>
<s>
The	O
particular	O
system	O
of	O
equations	O
was	O
used	O
by	O
Morris	O
to	O
illustrate	O
the	O
concept	O
of	O
ill-conditioned	B-Algorithm
system	O
of	O
equations	O
.	O
</s>
<s>
is	O
a	O
symmetric	B-Algorithm
matrix	I-Algorithm
.	O
</s>
<s>
Since	O
is	O
symmetric	B-Algorithm
,	O
the	O
2-norm	O
condition	B-Algorithm
number	I-Algorithm
of	O
is	O
.	O
</s>
<s>
A	O
consideration	O
of	O
the	O
condition	B-Algorithm
number	I-Algorithm
of	O
the	O
Wilson	B-Algorithm
matrix	I-Algorithm
has	O
spawned	O
several	O
interesting	O
research	O
problems	O
relating	O
to	O
condition	B-Algorithm
numbers	I-Algorithm
of	O
matrices	O
in	O
certain	O
special	O
classes	O
of	O
matrices	O
having	O
some	O
or	O
all	O
the	O
special	O
features	O
of	O
the	O
Wilson	B-Algorithm
matrix	I-Algorithm
.	O
</s>
<s>
the	O
set	O
of	O
nonsingular	O
,	O
symmetric	B-Algorithm
matrices	I-Algorithm
with	O
integer	O
entries	O
between	O
1	O
and	O
10	O
.	O
</s>
<s>
the	O
set	O
of	O
positive	O
definite	O
,	O
symmetric	B-Algorithm
matrices	I-Algorithm
with	O
integer	O
entries	O
between	O
1	O
and	O
10	O
.	O
</s>
<s>
An	O
exhaustive	O
computation	O
of	O
the	O
condition	B-Algorithm
numbers	I-Algorithm
of	O
the	O
matrices	O
in	O
the	O
above	O
sets	O
has	O
yielded	O
the	O
following	O
results	O
:	O
</s>
<s>
Among	O
the	O
elements	O
of	O
,	O
the	O
maximum	O
condition	B-Algorithm
number	I-Algorithm
is	O
and	O
this	O
maximum	O
is	O
attained	O
by	O
the	O
matrix	O
.	O
</s>
<s>
Among	O
the	O
elements	O
of	O
,	O
the	O
maximum	O
condition	B-Algorithm
number	I-Algorithm
is	O
and	O
this	O
maximum	O
is	O
attained	O
by	O
the	O
matrix	O
.	O
</s>
