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
Smoothness of Hessenberg and bidiagonal forms / L. DIECI; M.G. GASPARO; A. PAPINI. - In: MEDITERRANEAN JOURNAL OF MATHEMATICS. - ISSN 1660-5446. - STAMPA. - 5:(2008), pp. 21-31. [10.1007/s00009-008-0133-6]
Smoothness of Hessenberg and bidiagonal forms
GASPARO, MARIA GRAZIA;PAPINI, ALESSANDRA
2008
Abstract
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
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