The implicit restarted Arnoldi method, an efficient alternative to solve the neutron diffusion equation

To calculate the neutronic steady state of a nuclear power reactor core and its subcritical modes, it is necessary to solve a partial eigenvalue probl em. In this paper, an implicit restarted Arnoldi method is presented as an advantageous alternative to classical methods as the Power Iteration method and the Subspace Iteration method. The efficiency of these methods, has be en compared calculating the dominant Lambda modes of several configurations of the Three Mile Island reactor core. (C) 1999 Elsevier Science Ltd. All rights reserved.