Title: Fast and stable unitary QR algorithm
Authors: Aurentz, Jared L. * # ×
Mach, Thomas * #
Vandebril, Raf * #
Watkins, David S. * #
Issue Date: 17-Jun-2015
Publisher: Kent State University
Series Title: Electronic Transactions on Numerical Analysis vol:44 pages:327-341
Abstract: A fast Fortran implementation of a variant of Gragg's unitary Hessenberg QR algorithm is presented. It is proved, moreover, that all QR- and QZ-like algorithms for the unitary eigenvalue problems are equivalent. The algorithm is backward stable. Numerical experiments are presented that confirm the backward stability and compare the speed and accuracy of this algorithm with other methods.
ISSN: 1068-9613
Publication status: published
KU Leuven publication type: IT
Appears in Collections:NUMA, Numerical Analysis and Applied Mathematics Section
* (joint) first author
× corresponding author
# (joint) last author

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