03335cam a2200469Ia 4500 ocn957636965 OCoLC 20190328114816.0 m o d cr |n||||||||| 160902s2016 enka ob 001 0 eng d YDX eng pn YDX N$T IDEBK EBLCP OPELS N$T OCLCF OCLCQ IDB COD OTZ CNCGM OCLCQ MERUC U3W OCLCQ WYU 957557858 957738447 959032406 1066459472 9780128039809 (electronic bk.) 0128039809 (electronic bk.) 9780128039533 0128039531 (OCoLC)957636965 (OCoLC)957557858 (OCoLC)957738447 (OCoLC)959032406 (OCoLC)1066459472 QA433 MAT 005000 bisacsh MAT 034000 bisacsh 515/.63 23 Ding, Weiyang, author. Theory and computation of tensors : multi-dimensional arrays / [electronic resource] Weiyang Ding, Yimin Wei. London, UK : Academic Press is an imprint of Elsevier, �2016. 1 online resource (ix, 137 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier 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. Calculus of tensors. MATHEMATICS Calculus. bisacsh MATHEMATICS Mathematical Analysis. bisacsh Calculus of tensors. fast (OCoLC)fst00844137 Electronic books. Wei, Yimin, author. Print version: Ding, Weiyang. Theory and computation of tensors. London, UK : Academic Press is an imprint of Elsevier, 2016 9780128039533 0128039531 (OCoLC)950449726 ScienceDirect http://www.sciencedirect.com/science/book/9780128039533 247411 247411