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Matrices with hyperbolical Krein space numerical range

  • N. Bebiano,
  • R. Lemos,
  • G. Soares

摘要

This paper is devoted to matrices with hyperbolical Krein space numerical range. This shape characterizes the 2-by-2 case and persists for certain classes of matrices, independently of their size. Necessary and sufficient conditions for low dimensional tridiagonal matrices to have this shape are obtained involving only the matrix entries.