Constrained positive deÖnite matrixes
Now check thex 1 =x 2 =x 3 = 1 /
p
3 which is the minimal solution.
λ= x^1 x^2
2 x 3
=^1
2
p
3
H=
0
BB
@
0 2 /
p
3 2 /
p
3 2 /
p
3
2 /
p
3 1/
p
3 1 /
p
3 1 /
p
3
2 /
p
3 1 /
p
3 1/
p
3 1 /
p
3
2 /
p
3 1 /
p
3 1 /
p
3 1/
p
3
1
CC
A.
In this case the determinant is still ^163 ,which is also compatible with the
minimum rule asp= 1 .(Observe that sign is compatible with maximum
criteria as well.)