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[01097] Versal deformations as a tool of matrix analysis

  • Session Time & Room : 3E (Aug.23, 17:40-19:20) @G304
  • Type : Contributed Talk
  • Abstract : Reductions of matrices or matrix pencils to canonical forms are unstable operations: both the corresponding canonical forms and the reduction transformations depend discontinuously on the entries of an original matrix or pencil. This issue complicates the use of canonical forms for numerical purposes. Therefore V.I. Arnold introduced a notion of versal deformations. We will discuss versal deformations and their use in codimension computations, investigation of possible changes in eigenstructures, and reduction to structured perturbations.
  • Classification : 15A63, 15A21
  • Format : Talk at Waseda University
  • Author(s) :
    • Andrii Dmytryshyn (Örebro University)
    • Andrii Dmytryshyn (Örebro University)