Smoothness of Hessenberg and Bidiagonal Forms

Smoothness of Hessenberg and Bidiagonal Forms

. Our purpose in this work is to explore smoothness properties of transformations of a matrix valued function A to Hessenberg and bidiagonal form. The interplay with the rank of associated Krylov functions is exploited to clarify what one should expect for smooth functions A satisfying generic prope...

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Veröffentlicht in:Mediterranean journal of mathematics 2008-04, Vol.5 (1), p.21-31
Hauptverfasser: Dieci, Luca, Gasparo, M. Grazia, Papini, Alessandra
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics
Mathematics and Statistics
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Zusammenfassung:. Our purpose in this work is to explore smoothness properties of transformations of a matrix valued function A to Hessenberg and bidiagonal form. The interplay with the rank of associated Krylov functions is exploited to clarify what one should expect for smooth functions A satisfying generic properties.
ISSN:1660-5446
1660-5454
DOI:10.1007/s00009-008-0133-6