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arxiv: 1508.02005 · v3 · pith:KVMIUP45new · submitted 2015-08-09 · 🧮 math.OC

Eigenvalues and structured properties of P-tensors

classification 🧮 math.OC
keywords constantseigenvaluesp-tensorp-tensorsassociatedboundscasecondition
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We define two new constants associated with real eigenvalues of a P-tensor. With the help of these two constants, in the case of P-tensors, we establish upper bounds of two important quantities, whose positivity is a necessary and sufficient condition for a general tensor to be a P-tensor.

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