On the convergence rate of the QL algorithm with Wilkinson's shift

Zhang, Guodong

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Publication date

February 1989

DOI

10.1016/0024-3795(89)90292-9

Publisher

Published by Elsevier Inc.

ISSN

0024-3795

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Abstract

AbstractW. Hoffmann and B.N. Parlett have mentioned that in the usual case the convergence rate of the QL algorithm with Wilkinson's shift is at least cubic. In this paper, we present a sufficient condition for supercubic convergence. It is still an open problem whether or not convergence is always cubic

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On the convergence rate of the QL algorithm with Wilkinson's shift

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On the convergence rate of the QL algorithm with Wilkinson's shift

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