On determining minimal spectrally arbitrary patterns

نویسندگان

  • Michael S. Cavers
  • In-Jae Kim
  • Bryan L. Shader
  • Kevin N. Vander Meulen
  • MICHAEL S. CAVERS
  • BRYAN L. SHADER
  • KEVIN N. VANDER MEULEN
چکیده

A new family of minimal spectrally arbitrary patterns is presented which allow for arbitrary spectrum by using the Nilpotent-Jacobian method introduced in [J.H. Drew, C.R. Johnson, D.D. Olesky, and P. van den Driessche. Spectrally arbitrary patterns.Lin. Alg. and Appl. 308:121137, 2000]. The novel approach here is the use of the Intermediate Value Theorem to avoid finding an explicit nilpotent realization of the new minimal spectrally arbitrary patterns.

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تاریخ انتشار 2017