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Residual Vectors.

Let
denote a computed eigenvalue, and let
be its corresponding computed eigenvector, i.e.,

Sometimes, its corresponding left computed eigenvector
is also available:

The residual vectors corresponding to the computed
eigenvalue
are defined
as

respectively.
For the simplicity, we normalize the
approximate eigenvectors so that
and
and normalize the approximate eigenvalue so that
.

Susan Blackford
2000-11-20