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Theory and computation of tensors : multi-dimensional arrays /
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
London, UK :
Academic Press is an imprint of Elsevier,
�2016.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- 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.