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Smoothness of Hessenberg and Bidiagonal Forms |
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| Authors: | Luca Dieci M Grazia Gasparo Alessandra Papini |
| Institution: | (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. |
| Keywords: | Mathematics Subject Classification (2000)" target="_blank">Mathematics Subject Classification (2000) 65F15 65F99 |
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