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2011

Iterative Methods for Computing Eigenvalues and Eigenvectors

Panju, Maysum

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We examine some numerical iterative methods for computing the eigenvalues and eigenvectors of real matrices.

The five methods examined here range from the simple power iteration method to the more complicated QR iteration method.
The derivations, procedure, and advantages of each method are briefly discussed.

Iterative Methods for Computing Eigenvalues and Eigenvectors · Around

Built on

On the convergence of the Rayleigh quotient iteration for the computation of the characteristic roots and vectors. iii
A. M. Ostrowski · 1959
Earlier work this paper cites.

Similar

Computational aspects of F. L. Bauer’s simultaneous iteration method
H. Rutishauser · 1969
Cited alongside, same era.
CS 402 Lecture Notes
Lecture 28: QR Algorithm
Cited in the paper.

Then

Householder reflections versus givens rotations in sparse orthogonal decomposition
A. George and J. W. Liu · 1987
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