NANAApr 5, 2018

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

arXiv:1804.01936h-index: 27
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Provides theoretical convergence analysis for a specific iterative eigenvalue solver, which is incremental for numerical linear algebra researchers.

The paper analyzes the convergence of the shift-inverse method with Richardson iteration for eigenvalue problems, showing that convergence speed depends heavily on the eigenvalue gap between the desired and undesired eigenvalues.

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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