Treatment of Complex Intermediate Eigensolutions for the Modified Power Method

Abstract

The modified power method has been studied to calculate the first several eigenmodes at the same time. The solution strategy of the modified power method requires eigen-decomposition of the transfer matrix at the end of every iteration, which may produce complex intermediate eigensolutions if there are degenerated eigenmodes. For the successful implementation of the modified power method, a technique for resolving this issue is proposed and tested in this study.