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P7: Finding Rightmost Eigenvalues of Large Sparse Non-symmetric Parametrized Eigenvalue Problems Author: Minghao Wu , Advisor: Howard Elman (CS) Problem Statement Presentation Project Proposal Abstract The goal of this report is to explore the numerical algorithm of finding rightmost eigenvalues of large sparse nonsymmetric parametrized eigenvalue problems, and how the rightmost eigenvalues vary as certain parameter changes. We implemented Arnoldi algorithm (both exact and inexact) and Implicitely Restarted Arnoldi algrithm with shift-invert transformation to reproduce computational results of several test problems in the literature. We also applied the algorithm to the study of dynamical equilibrium.
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