Liyun Qi is Chair Professor of Applied Mathematics in the Department of Applied Mathematics at The Hong Kong Polytechnic University. Listed as one of the 345 most highly cited mathematicians from 1981 to 2007 by ISI Highly Cited Research, he has published more than 290 papers – including more than 110 papers on tensors – in international journals. Ziyan Luo is Associate Professor of System Science at the State Key Laboratory of Rail Traffic Control and Safety at Beijing Jiaotong University.

• 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.

Liyun Qi is Chair Professor of Applied Mathematics in the Department of Applied Mathematics at The Hong Kong Polytechnic University. Listed as one of the 345 most highly cited mathematicians from 1981 to 2007 by ISI Highly Cited Research, he has published more than 290 papers – including more than 110 papers on tensors – in international journals. Ziyan Luo is Associate Professor of System Science at the State Key Laboratory of Rail Traffic Control and Safety at Beijing Jiaotong University.

• 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.

Liyun Qi is Chair Professor of Applied Mathematics in the Department of Applied Mathematics at The Hong Kong Polytechnic University. Listed as one of the 345 most highly cited mathematicians from 1981 to 2007 by ISI Highly Cited Research, he has published more than 290 papers – including more than 110 papers on tensors – in international journals. Ziyan Luo is Associate Professor of System Science at the State Key Laboratory of Rail Traffic Control and Safety at Beijing Jiaotong University.

• 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.