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Smoothness of Hessenberg and Bidiagonal Forms

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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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Authors and Affiliations

  1. School of Mathematics, Georgia Institute of Technology, Atlanta, GA, 30332, U.S.A.

    Luca Dieci

  2. Dipartimento di Energetica S. Stecco, Università di Firenze, via C. Lombroso 6/17, 50134, Florence, Italy

    M. Grazia Gasparo & Alessandra Papini

Authors
  1. Luca Dieci
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  2. M. Grazia Gasparo
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  3. Alessandra Papini
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Corresponding author

Correspondence to Luca Dieci.

Additional information

This work was supported in part under INDAM-GNCS and MIUR Rome-Italy.

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Dieci, L., Gasparo, M.G. & Papini, A. Smoothness of Hessenberg and Bidiagonal Forms. MedJM 5, 21–31 (2008). https://doi.org/10.1007/s00009-008-0133-6

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  • DOI: https://doi.org/10.1007/s00009-008-0133-6

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