Convergence of the inner-outer iteration scheme (Q1064032)

This paper attempts to extend the work of \textit{L. A. Hageman} [Numerical methods and techniques used in the two-dimensional diffusion program PDQ- 5, WAPD-TM-364 (1963)] by deriving a set of sufficient conditions which would guarantee convergence of the inner-outer iteration scheme for solving diffusion eigenvalue problems. The existence of a finite number of inner iterations to guarantee convergence of the general problem is not established in this paper. The impact of this work on practical application of the inner-outer iteration strategy is not clear.