# Inverse Iteration, Ill-Conditioned Equations and Newton’s Method

@article{Peters1979InverseII,
title={Inverse Iteration, Ill-Conditioned Equations and Newton’s Method},
author={G. Peters and J. H. Wilkinson},
journal={Siam Review},
year={1979},
volume={21},
pages={339-360}
}
• Published 1979
• Mathematics
• Siam Review
Inverse iteration is one of the most widely used algorithms in practical linear algebra but an understanding of its main numerical properties has developed piecemeal over the last thirty years: a major source of misunderstanding is that it requires the solution of very ill-conditioned systems of equations. We describe closely related algorithms which avoid these ill-conditioned systems and explain why the standard inverse iteration algorithm may nevertheless be preferable. The discussion covers… Expand
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