Matrix Calculus Kronecker Product And Tensor Product A Practical Approach To Linear Algebra Multilinear Algebra And Tensor Calculus With Software Implementations Third Edition

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Our self-contained volume provides an accessible introduction to linear and multilinear algebra as well as tensor calculus. Besides the standard techniques for linear algebra, multilinear algebra and tensor calculus, many advanced topics are included where emphasis is placed on the Kronecker product and tensor product. The Kronecker product has widespread applications in signal processing, discrete wavelets, statistical physics, Hopf algebra, Yang-Baxter relations, computer graphics, fractals, quantum mechanics, quantum computing, entanglement, teleportation and partial trace. All these fields are covered comprehensively.The volume contains many detailed worked-out examples. Each chapter includes useful exercises and supplementary problems. In the last chapter, software implementations are provided for different concepts. The volume is well suited for pure and applied mathematicians as well as theoretical physicists and engineers.New topics added to the third edition are: mutually unbiased bases, Cayley transform, spectral theorem, nonnormal matrices, Gâteaux derivatives and matrices, trace and partial trace, spin coherent states, Clebsch-Gordan series, entanglement, hyperdeterminant, tensor eigenvalue problem, Carleman matrix and Bell matrix, tensor fields and Ricci tensors, and software implementations.

Product Details :

Genre : Mathematics
Author : Yorick Hardy
Publisher : World Scientific
Release : 2019-04-08
File : 388 Pages
ISBN-13 : 9789811202537


Matrix Calculus Kronecker Product And Tensor Product

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Genre :
Author : Yorick Hardy
Publisher :
Release : 2019
File : 388 Pages
ISBN-13 : 9811202524


Matrix Calculus And Kronecker Product A Practical Approach To Linear And Multilinear Algebra 2nd Edition

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This book provides a self-contained and accessible introduction to linear and multilinear algebra. Besides the standard techniques for linear and multilinear algebra many advanced topics are included. Emphasis is placed on the Kronecker product and tensor product. The Kronecker product has widespread applications in signal processing, discrete wavelets, statistical physics, computer graphics, fractals, quantum mechanics and quantum computing. All these fields are covered in detail. A key feature of the book is the many detailed worked-out examples. Computer algebra applications are also given. Each chapter includes useful exercises. The book is well suited for pure and applied mathematicians as well as theoretical physicists and engineers.New topics added to the second edition are: braid-like relations, Clebsch-Gordan expansion, nearest Kronecker product, Clifford and Pauli group, universal enveloping algebra, computer algebra and Kronecker product.

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Genre : Mathematics
Author : Willi-hans Steeb
Publisher : World Scientific Publishing Company
Release : 2011-03-24
File : 323 Pages
ISBN-13 : 9789813108073


Matrix Calculus And Kronecker Product

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Genre : Kronecker products
Author : W.-H. Steeb
Publisher :
Release : 2011
File : 0 Pages
ISBN-13 : OCLC:1392375467


Matrix Calculus And Kronecker Product With Applications And C Programs

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The Kronecker product of matrices plays a central role in mathematics and in applications found in engineering and theoretical physics. These applications are signal processing, statistical physics, quantum groups and quantum computers. This book provides a comprehensive introduction to the Kronecker product of matrices together with its software implementation in C++ using an object-oriented design.

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Genre : Science
Author : Willi-Hans Steeb
Publisher : World Scientific
Release : 1997
File : 270 Pages
ISBN-13 : 9810232411


Kronecker Products And Matrix Calculus With Applications

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Enhanced by many worked examples, problems, and solutions, this in-depth text is suitable for undergraduates and presents a great deal of information previously only available in specialized and hard-to-find texts. 1981 edition.

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Genre : Mathematics
Author : Alexander Graham
Publisher : Courier Dover Publications
Release : 2018-06-13
File : 145 Pages
ISBN-13 : 9780486824178


An Introduction To Linear Algebra And Tensors

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Eminently readable and completely elementary, this treatment begins with linear spaces and ends with analytic geometry. Additional topics include multilinear forms, tensors, linear transformation, eigenvectors and eigenvalues, matrix polynomials, and more. More than 250 carefully chosen problems appear throughout the book, most with hints and answers. 1972 edition.

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Genre : Mathematics
Author : Maks A?zikovich Akivis
Publisher : Courier Corporation
Release : 1972-01-01
File : 196 Pages
ISBN-13 : 0486635457


Multilinear Algebra

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This book is a revised version of the first edition and is intended as a Linear Algebra sequel and companion volume to the fourth edition of (Graduate Texts in Mathematics 23). As before, the terminology and basic results of Linear Algebra are frequently used without refer~nce. In particular, the reader should be familiar with Chapters 1-5 and the first part of Chapter 6 of that book, although other sections are occasionally used. In this new version of Multilinear Algebra, Chapters 1-5 remain essen tially unchanged from the previous edition. Chapter 6 has been completely rewritten and split into three (Chapters 6, 7, and 8). Some of the proofs have been simplified and a substantial amount of new material has been added. This applies particularly to the study of characteristic coefficients and the Pfaffian. The old Chapter 7 remains as it stood, except that it is now Chapter 9. The old Chapter 8 has been suppressed and the material which it con tained (multilinear functions) has been relocated at the end of Chapters 3, 5, and 9. The last two chapters on Clifford algebras and their representations are completely new. In view of the growing importance of Clifford algebras and the relatively few references available, it was felt that these chapters would be useful to both mathematicians and physicists.

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Genre : Mathematics
Author : Werner Hildbert Greub
Publisher : Springer
Release : 1978-08-24
File : 312 Pages
ISBN-13 : UOM:39015014358504


Tensor Spaces And Exterior Algebra

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This book explains, as clearly as possible, tensors and such related topics as tensor products of vector spaces, tensor algebras, and exterior algebras. You will appreciate Yokonuma's lucid and methodical treatment of the subject. This book is useful in undergraduate and graduate courses in multilinear algebra. Tensor Spaces and Exterior Algebra begins with basic notions associated with tensors. To facilitate understanding of the definitions, Yokonuma often presents two or more different ways of describing one object. Next, the properties and applications of tensors are developed, including th.

Product Details :

Genre : Multilinear algebra
Author : Takeo Yokonuma
Publisher :
Release : 1992
File : Pages
ISBN-13 : 1470445190