THE PROJECTION KANTOROVICH METHOD FOR EIGENVALUE PROBLEMS

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:50

Article; Proceedings Paper

LARDY, LJ

关键词: EIGENVALUE PROBLEMS;    PROJECTION METHOD;    KANTOROVICH METHOD;   

DOI  :  10.1016/0377-0427(94)90314-X

来源: Elsevier

【 摘 要 】

A modified projection method for eigenvalues and eigenvectors of a compact operator T on a Banach space is defined and analyzed. The method is derived from the Kantorovich regularization for second-kind equations involving the operator T. It is shown that when T is a positive self-adjoint operator on a Hilbert space and the projections are orthogonal, the modified method always gives eigenvalue approximations which are at least as accurate as those obtained from the projection method. For self-adjoint operators, the required computation is essentially the same for both methods. Numerical computations for two integral operators are presented. One has T positive self-adjoint, while in the other T is not self-adjoint. In both cases the eigenvalue approximations from the modified method are more accurate than those from the projection method.

【 授权许可】

Free