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For a complex tensor A, Minimal Gersgorin tensor eigenvalue inclusion set ofA is presented, and its sufficient and necessary condition is given.Furthermore, we study its boundary by the spectrums of the equimodular set andthe extended equimodular set for A. Lastly, for an irreducible tensor, anumerical approximation to Minimal Gersgorin tensor eigenvalue inclusion set isgiven.

Minimal Gersgorin tensor eigenvalue inclusion set and its numerical approximation