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Properties Of Weakly Positive Tensor And M-Tensor

Posted on:2016-10-14Degree:MasterType:Thesis
Country:ChinaCandidate:X WangFull Text:PDF
GTID:2310330485451466Subject:Applied Mathematics
Abstract/Summary:
Higher order tensors are higher order generalizations of the matrice and a essential tool for many subjects, such as mathematics, physics, dynamics. Till now the study of tensor has become a significant topic in algebra field. In this paper, we mainly study the properties of weakly positive tensor and M-tensor.Part 1:we briefly introduce the research background and current research status on tensor, and probe into the main content of this paper.Part 2:we recall the basic concepts of tensor.Part 3:we discuss the geometric simplicity of the spectral radius of weakly posi-tive tensor, the relation between weakly positive tensors and primitive tensors and the convergence of the NQZ method for some weakly positive tensors.Part 4:we mainly investigate some properties about M-tensor and supergraph.
Keywords/Search Tags:Irreducible tensor, Weakly positive tensor, Primitive tensor, M-tensor, Spectral radius
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