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Pole-swapping algorithms for alternating and palindromic eigenvalue problems

Tijdschriftbijdrage - Tijdschriftartikel

Pole-swappingalgorithmsaregeneralizationsofbulge-chasingalgorithms for the generalized eigenvalue problem. Structure-preserving pole-swapping algo- rithms for the palindromic and alternating eigenvalue problems, which arise in control theory, are derived. A refinement step that guarantees backward stability of the algorithms is included. This refinement can also be applied to bulge-chasing algorithms that had been introduced previously, thereby guaranteeing their back- ward stability in all cases.
Tijdschrift: Vietnam Journal of Mathematics
ISSN: 0866-7179
Issue: 4
Volume: 48
Pagina's: 679 - 701
Jaar van publicatie:2020
Toegankelijkheid:Open