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ShiftandInvert QEP.
Combining the above shiftandinvert spectral transformations (SI),
the socalled shiftandinvert QEP becomes

(261) 
where
and
,
, and
.
The exterior eigenvalues of the QEP (9.17)
approximate the eigenvalues of the original QEP (9.1)
closest to the shift . These eigenvalues are given by
Again, the corresponding generalized ``linear'' eigenvalue problem
in terms of , rather than , is
or
if the Hermitian of the matrix triplet wants to be preserved.
Susan Blackford
20001120