The projection Kantorovich method for eigenvalue problems
A modified projection method is discussed for the eigenvalue problem of a compact operator on a Banach space. The method is derived from the Kantorovich regularization method for second-kind equations. For a positive selfadjoint operator on a Hilbert space and orthogonal projections, the method yields eigenvalue approximations which are at least as accurate as those obtained from the projection method. On the other hand, for selfadjoint operators, both the methods require the same amount of computations. Numerical computations for selfadjoint and non- selfadjoint operators show that in both the cases, the modified method gives more accurate eigenvalue approximation.
scientific article; zbMATH DE number 643768
scientific article