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Structural Properties of Tensors and Complementarity Problems
SONG, Yisheng - Personal Name
MEI, Wei - Personal Name
In this paper, one of our main purposes is to prove the boundedness of the solution set of tensor complementarity problems such that the specific bounds depend only on the structural properties of such a tensor. To achieve this purpose, firstly, we prove that this class of structured tensors is strictly semi-positive. Subsequently the strictly lower and upper bounds of operator norms are given for two positively homogeneous operators. Finally, with the help of the above upper bounds, we show that the solution set of tensor complementarity problems has the strictly lower bound. Furthermore, the upper bounds of spectral radius are obtained, which depends only on the principal diagonal entries of tensors.
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| OR0000000001T | Available |
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Content Type
E-Jurnal
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Subject(s)
Structured tensor ยท
Tensor complementarity problems
Spectral radius
Operator norms
Upper and lower bounds
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Statement of Responsibility
Yisheng Song, Wei Mei
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