Efficient Implementation of the Multishift $QR$ Algorithm for the Unitary Eigenvalue Problem

Authors:
Roden J. A. David;David S. Watkins
Affiliations:
-;-
Venue:
SIAM Journal on Matrix Analysis and Applications
Year:
2006

Citing 0
Cited 3

Eigenvalue computation for unitary rank structured matrices

Journal of Computational and Applied Mathematics
Unitary rank structured matrices

Journal of Computational and Applied Mathematics
A Wilkinson-like multishift QR algorithm for symmetric eigenvalue problems and its global convergence

Journal of Computational and Applied Mathematics

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Abstract

We present an efficient implementation of the multishift $QR$ algorithm for computing the eigenvalues of a unitary matrix. The algorithm can perform $QR$ iterations of arbitrary degree, is conceptually simple, and is backward stable.