Matrix Calculus, Kronecker Product and Tensor Product: A Practical Approach to Linear Algebra, Multilinear Algebra and Tensor Calculus With Software Implementations - Rilegato

Hardy, Yorick; Steeb, Willi-Hans

Rilegato

ISBN 10: 9811202516 ISBN 13: 9789811202513

Casa editrice: World Scientific Pub Co Inc, 2019

Riassunto

Our self-contained volume provides 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, ClebschGordan series, entanglement, hyperdeterminant, tensor eigenvalue problem, Carleman matrix and Bell matrix, tensor fields and Ricci tensors, and software implementations

Dettagli dell?edizione

• Editore: World Scientific Pub Co Inc
• Data di pubblicazione: 2019
• Lingua: Inglese
• ISBN 10: 9811202516
• ISBN 13: 9789811202513
• Rilegatura: Copertina rigida
• Numero edizione: 3
• Numero di pagine: 388
• Contatto del produttore: non disponibile
• Persona responsabile: non disponibile