Theory and computation of tensors : multi dimensional arrays Chapter 6: Multilinear Systems with M Tensors 6.1 Motivations; 6.2 Triangular Equations; 6.3 M Equations and Beyond ; 6.4 Iterative Methods for M Equations ; 6.5 Perturbation Analysis of M Equations ; 6.6 Inverse Iteration; Appendix; Bibliography; Subject Index ; Back Cover 3.2 Exponential Data Fitting3.3 Anti Circulant Tensors; 3.4 Fast Hankel Tensor Vector Product; 3.5 Numerical Examples; Chapter 4: Inheritance Properties ; 4.1 Inheritance Properties; 4.2 The First Inheritance Property of Hankel Tensors; 4.3 The Second Inheritance Property of Hankel Tensors; 4.4 The Third Inheritance Property of Hankel Tensors; Part III: M Tensors ; Chapter 5: De nitions and Basic Properties ; 5.1 Preliminaries; 5.2 Spectral Properties of M Tensors ; 5.3 Semi Positivity; 5.4 Monotonicity; 5.5 An Extension of M Tensors ; 5.6 Summation Front Cover ; Theory and Computation of Tensors: Multi Dimensional Arrays ; Copyright ; Preface; Contents; Part I: General Theory ; Chapter 1: Introduction and Preliminaries ; 1.1 What Are Tensors; 1.2 Basic Operations; 1.3 Tensor Decompositions; 1.4 Tensor Eigenvalue Problems; Chapter 2: Generalized Tensor Eigenvalue Problems ; 2.1 A Uni ed Framework; 2.2 Basic De nitions; 2.3 Several Basic Properties; 2.4 Real Tensor Pairs; 2.5 Sign Complex Spectral Radius; 2.6 An Illustrative Example; Part II: Hankel Tensors ; Chapter 3: Fast Tensor Vector Products ; 3.1 Hankel Tensors