Constrained positive deÖnite matrixes
But we must also check
(^)
(^)
(^)
0 2 0
2 0 0
0 0 4
(^)
(^)
=^16
:Hence the determinants of the leading principal minors alternate, hence
( 1 , 0 , 0 )is a local maximum.
But we must also check
(^)
(^)
(^)
(^)
(^)
=^16
:Hence the determinants of the leading principal minors alternate, hence
( 1 , 0 , 0 )is a local maximum.