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Paper   IPM / M / 15534
School of Mathematics
  Title:   On the numerical range in tropical algebra
  Author(s):  Fatemeh Shakeri (Joint with H. Tavakolipour)
  Status:   To Appear
  Journal: Linear Multilinear Algebra
  Supported by:  IPM
We introduce the concept of numerical range in tropical linear algebra, explore its properties and show in particular that it contains all the tropical eigenvalues. An explicit formula is obtained for the tropical numerical range and an application in the asymptotic analysis of condition number of symmetric matrices is proposed.

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