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A Residual Inverse Power Method
(2007-02)
The inverse power method involves solving shifted equations of the
form $(A -\sigma I)v = u$. This paper describes a variant method in
which shifted equations may be solved to a fixed reduced accuracy
without affecting ...
Analysis of the Residual Arnoldi Method
(2007-10-15)
The Arnoldi method generates a nested squences of orthonormal bases
$U_{1},U_{2}, \ldots$ by orthonormalizing $Au_{k}$ against $U_{k}$.
Frequently these bases contain increasingly accurate approximations of
eigenparis ...