Next: Transfer Residual Error to
Up: Some Combination of and
Previous: Some Combination of and
denote a computed eigenvalue, and let
be its corresponding computed eigenvector.
For the simplicity,
we normalize the computed eigenvector and eigenvalue so that
The corresponding residual vector or
residual error is defined by
Ideally, we would like to have , but in practice is small.
It is conceivable that a small residual error implies
good accuracy in the computed
We are interested in knowing how accurate the computed
and are, given .