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arxiv: 1704.02153 · v1 · pith:PJ72GP5Enew · submitted 2017-04-07 · 🧮 math.NA · cs.NA

C-eigenvalues intervals for Piezoelectric-type tensors

classification 🧮 math.NA cs.NA
keywords c-eigenvaluesintervalspiezoelectric-typec-eigenvaluegivenlargestpiezoelectrictensor
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C-eigenvalues of piezoelectric-type tensors which are real and always exist, are introduced by Chen et al. [1]. And the largest C-eigenvalue for the piezoelectric tensor determines the highest piezoelectric coupling constant. In this paper, we give two intervals to locate all C-eigenvalues for a given Piezoelectric-type tensor. These intervals provide upper bounds for the largest C-eigenvalue. Numerical examples are also given to show the corresponding results.

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