(1) School of Mathematics, Georgia Institute of Technology, Atlanta, GA, 30332, U.S.A.;(2) Dipartimento di Energetica S. Stecco, Università di Firenze, via C. Lombroso 6/17, 50134 Florence, Italy
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. This work was supported in part under INDAM-GNCS and MIUR Rome-Italy.