It was shown recently in  that the Goerisch method provides upper and lower bounds to eigenvalues of variationally posed self-adjoint eigenvalue problems with arbitrary spectrum. In the present paper the approximation of eigenelements is established. In addition, the convergence of the eigenvalue and eigenelement approximations is shown in a pure func-tional analytic procedure. A numerical example is given where the curve veering phenomenon occurs.
Cite this article
U. Mertins, On the Convergence of the Goerisch Method for Self-Adjoint Eigenvalue Problems with Arbitrary Spectrum. Z. Anal. Anwend. 15 (1996), no. 3, pp. 661–686DOI 10.4171/ZAA/722