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Use normwise criterion for inf eigenvalues in QZ #698

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thijssteel
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As described in "A new deflation criterion for the QZ algorithm" T. Steel, R. Vandebril and J. Langou (https://arxiv.org/abs/2208.02057)
When testing for infinite eigenvalues in the QZ algorithm, the normwise criterion performs better than the elementwise one.

This PR changes the infinite eigenvalue check to the normwise criterion, but keeps the elementwise check for the finite eigenvalues.

@angsch
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angsch commented Aug 14, 2022

Looks good to me :-)

With your changes tempr becomes an unused variable in [cz]laqz0, if you want to remove it.

@langou langou merged commit 34b804e into Reference-LAPACK:master Oct 6, 2022
@julielangou julielangou added this to the LAPACK 3.11.0 milestone Nov 12, 2022
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4 participants