2018arXiv (Cornell University)Open access

Convergence Analysis of Shift-Inverse Method with Richardson Iteration For Eigenvalue Problem

Yunhui He, Hehu Xie

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Abstract

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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What this paper is about

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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Available abstract

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

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