The Sign-Real Spectral Radius for Real Tensors
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Abstract:
In this paper a new quantity for real tensors, the sign-real spectral radius, is defined and investigated. Various characterizations, bounds and some properties are derived. In certain aspects our quantity shows similar behavior to the spectral radius of a nonnegative tensor. In fact, we generalize the Perron Frobenius theorem for nonnegative tensors to the class of real tensors.
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Journal title
volume 5 issue 1
pages 73- 87
publication date 2018-07-07
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