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Theory and computation of tensors : multi-dimensional arrays / Weiyang Ding, Yimin Wei.

By: Ding, Weiyang [author.]Contributor(s): Wei, Yimin [author.]Material type: TextTextPublication details: London, UK : Academic Press is an imprint of Elsevier, �2016Description: 1 online resource (ix, 137 pages) : illustrationsContent type: text Media type: computer Carrier type: online resourceISBN: 9780128039809; 0128039809Subject(s): Calculus of tensors | MATHEMATICS -- Calculus | MATHEMATICS -- Mathematical Analysis | Calculus of tensorsGenre/Form: Electronic books.Additional physical formats: Print version:: Theory and computation of tensors.DDC classification: 515/.63 LOC classification: QA433Online resources: ScienceDirect
Contents:
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.
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Ebooks Ebooks Mysore University Main Library
Not for loan EBKELV425

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.

Includes bibliographical references and index.

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