Convergence Analysis of Shift-Inverse Method with Richardson Iteration For Eigenvalue Problem
Yunhui He, Hehu Xie
Abstract
Open-access reader
Yunhui He, Hehu Xie
Abstract
Open-access reader
In this paper, we consider the shift-inverse method with Richardson iteration step for the eigenvalue problems. It will be shown that the convergence speed depends heavily on the eigenvalue gap between the desired eigenvalue and undesired ones.
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In this paper, we consider the shift-inverse method with Richardson iteration step for the eigenvalue problems. It will be shown that the convergence speed depends heavily on the eigenvalue gap between the desired eigenvalue and undesired ones.
Key concepts: Inverse iteration, Eigenvalues and eigenvectors, Convergence (economics), Divide-and-conquer eigenvalue algorithm, Inverse, Rayleigh quotient iteration, Mathematics, Applied mathematics