TWO APPROACHES ТО IMPLEMENTING ITERATIONS IN CRITICAL PARAMETER CALCULATIONS

A. K. Gerasimenko, O. S. Shirokovskaya
VANT. Ser. Metodiki i Programmy Chislennogo Resheniya Zadach Matematicheskoy Fiziki 1986. Вып.2. С. 80-83.

      We describe a cost-effective. a 1gorithm developed for determining the maximum eigenvalue of a transport operator. For methods which rely upon solving a stationary transport equation, such algorithms have a form of double iterations. There are various ways to perform iterations with respect to their duration: one may iterate "up to the end", that is until a desired accuracy is achieved, or more rough iterations are possible.
      The paper presents and compares two approaches for implementing iterations relying upon the above considerations in terms of their efficiency and cost-effectiveness. A more efficient and cost-effective algorithm is developed where the internal loop performs at most three iterations which allows to reduce the iteration number with a factor of 1,5-1,8 compared to the previous algorithm.