
7.8 Bibliographical Notes
345
general, this matrix will possess (2M + 1) eigenvectors and their correspond-
ing eigenvalues. The eigenvector that corresponds to the smallest eigenvalue
is chosen for m (assuming that a correct choice of λ
2
has already been made).
To show this, we rewrite (283) as
Multiplying both sides from the left by m
l
and using (277), (281b), and (281c),
we get
If our aim is to minimize r
2
, this equation shows that if many different values
of λ
ί
will satisfy (283), we should choose the smallest. The correct ra will be
the eigenvector corresponding to this choice.
Since λ
2
is not known a priori, in practice the above procedur ...