qFor M Î C
n´ n , mD(M) is defined as
q
q
q unless no D Î D makes I-MD singular, in which case mD(M) :=0.
q
vIf D={dIn : d Î C}
(S=1, F=0,
r1=n), then mD(M)=r(M),
the spectral radius of M.
v If D={D Î C
n´n } (S=0, F=1, m1=n), then mD(M) = .
qThus we have the following bounds:
q
r(M) £ mD(M) £