<s>
In	O
mathematics	O
,	O
persymmetric	B-Algorithm
matrix	I-Algorithm
may	O
refer	O
to	O
:	O
</s>
<s>
a	O
square	B-Algorithm
matrix	I-Algorithm
such	O
that	O
the	O
values	O
on	O
each	O
line	O
perpendicular	O
to	O
the	O
main	O
diagonal	O
are	O
the	O
same	O
for	O
a	O
given	O
line	O
.	O
</s>
<s>
The	O
designation	O
"	O
Hankel	B-Algorithm
matrix	I-Algorithm
"	O
is	O
often	O
used	O
for	O
matrices	O
satisfying	O
the	O
property	O
in	O
the	O
second	O
definition	O
.	O
</s>
<s>
This	O
can	O
be	O
equivalently	O
expressed	O
as	O
AJ	O
=	O
JAT	O
where	O
J	O
is	O
the	O
exchange	B-Algorithm
matrix	I-Algorithm
.	O
</s>
<s>
A	O
symmetric	B-Algorithm
matrix	I-Algorithm
is	O
a	O
matrix	O
whose	O
values	O
are	O
symmetric	B-Algorithm
in	O
the	O
northwest-to-southeast	O
diagonal	O
.	O
</s>
<s>
If	O
a	O
symmetric	B-Algorithm
matrix	I-Algorithm
is	O
rotated	O
by	O
90°	O
,	O
it	O
becomes	O
a	O
persymmetric	B-Algorithm
matrix	I-Algorithm
.	O
</s>
<s>
Symmetric	B-Algorithm
persymmetric	B-Algorithm
matrices	O
are	O
sometimes	O
called	O
bisymmetric	B-Algorithm
matrices	I-Algorithm
.	O
</s>
<s>
A	O
persymmetric	B-Algorithm
determinant	I-Algorithm
is	O
the	O
determinant	O
of	O
a	O
persymmetric	B-Algorithm
matrix	I-Algorithm
.	O
</s>
<s>
A	O
matrix	O
for	O
which	O
the	O
values	O
on	O
each	O
line	O
parallel	O
to	O
the	O
main	O
diagonal	O
are	O
constant	O
is	O
called	O
a	O
Toeplitz	B-Algorithm
matrix	I-Algorithm
.	O
</s>
