| Description |
1 online resource (ix, 137 pages) : illustrations |
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text txt rdacontent |
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computer c rdamedia |
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online resource cr rdacarrier |
| 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. |
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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. |
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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. |
| Bibliography |
Includes bibliographical references and index. |
| Subject |
Calculus of tensors.
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Calcul tensoriel.
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MATHEMATICS -- Calculus.
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MATHEMATICS -- Mathematical Analysis.
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Calculus of tensors
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| Added Author |
Wei, Yimin, author.
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| Other Form: |
Print version: Ding, Weiyang. Theory and computation of tensors. London, UK : Academic Press is an imprint of Elsevier, 2016 9780128039533 0128039531 (OCoLC)950449726 |
| ISBN |
9780128039809 (electronic bk.) |
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0128039809 (electronic bk.) |
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9780128039533 |
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0128039531 |
| Standard No. |
AU@ 000058847805 |
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AU@ 000066136293 |
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CHNEW 001013775 |
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DEBSZ 482473304 |
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GBVCP 879418443 |
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