Tensor analysis : spectral theory and special tensors
著者
書誌事項
Tensor analysis : spectral theory and special tensors
（OT, 151）
Society for Industrial and Applied Mathematics(SIAM), c2017
- : pbk
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
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 is unique in that it is the first book on the 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, which is covered in a chapter.
目次
List of Figures.
List of Algorithms.
Preface.
Chapter 1: Introduction.
Chapter 2: Eigenvalues of Tensors.
Chapter 3: Nonnegative Tensors.
Chapter 4: Spectral Hypergraph Theory via Tensors.
Chapter 5: Positive Semidefinite Tensors.
Chapter 6: Completely Positive Tensors and Copositive Tensors.
Bibliography.
Index.
「Nielsen BookData」 より
