Power Iteration Method for the Several Largest Eigenvalues and Eigenfunctions
Nuclear Science and Engineering / Volume 154 / Number 1 / September 2006 / Pages 48-62
Technical Paper / dx.doi.org/10.13182/NSE05-05
Articles are hosted by Taylor and Francis Online.
ANS Members, if you subscribe to Nuclear Science and Engineering, please log in before accessing the article.
A method for simultaneously obtaining the two largest eigenvalues and their associated eigenfunctions is demonstrated mathematically and empirically. The method uses estimates of the eigenvalue in two different regions rather than the single estimate traditionally used. The method can be generalized to obtain the several largest eigenfunctions, if those are desired as well. Additionally, it is shown that using multiple estimates of the eigenvalues accelerates the convergence of the eigenfunctions.
