Ding, Weiyang creator author. Wei, Yimin author. text bibliography Electronic books. enk London, UK Academic Press is an imprint of Elsevier �2016 2016 monographic eng

electronic resource

1 online resource (ix, 137 pages) : illustrations 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. 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. 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. Weiyang Ding, Yimin Wei. Includes bibliographical references and index. Calculus of tensors MATHEMATICS Calculus MATHEMATICS Mathematical Analysis Calculus of tensors QA433 515/.63 Ding, Weiyang. London, UK : Academic Press is an imprint of Elsevier, 2016 (OCoLC)950449726 9780128039809 0128039809 http://www.sciencedirect.com/science/book/9780128039533 http://www.sciencedirect.com/science/book/9780128039533 YDX 160902 20190328114816.0 ocn957636965 eng