• and has the following
spectral decomposition:
• A= S li xi
yi*
• where yiÎ Cn is given by
•
•
•
•
qAÎ Rn´n with real eigenvalue
lÎ R Þ real eigenvector xÎ Rn
qA
is Hermitian,i.e., A=A* Þ $ unitary U such that A=ULU* and L=diag{l1 , l2 , … , ln} is real.
q
•