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Tensor Analysis
Liqun QiZiyan Luo
其他書名
Spectral Theory and Special Tensors
出版SIAM, 2017-04-19
主題Mathematics / Algebra / LinearMathematics / Discrete MathematicsMathematics / Optimization
ISBN16119747479781611974744
URLhttp://books.google.com.hk/books?id=WNjLDgAAQBAJ&hl=&source=gbs_api
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註釋

Tensors, or hypermatrices, are multi-arrays with more than two indices. In the last decade or so, many concepts and results in matrix theory?some of which are nontrivial?have been extended to tensors and have a wide range of applications (for example, spectral hypergraph theory, higher order Markov chains, polynomial optimization, magnetic resonance imaging, automatic control, and quantum entanglement problems). The authors provide a comprehensive discussion of this new theory of tensors.

Tensor Analysis: Spectral Theory and Special Tensors is unique in that it is the first book on these three subject areas: spectral theory of tensors; the theory of special tensors, including nonnegative tensors, positive semidefinite tensors, completely positive tensors, and copositive tensors; and the spectral hypergraph theory via tensors.

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