Matrix Calculus And Kronecker Product: A Practical Approach To Linear And Multilinear Algebra (2nd Edition) PDF Download

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

Matrix Calculus And Kronecker Product: A Practical Approach To Linear And Multilinear Algebra (2nd Edition) PDF Author: Willi-hans Steeb
Publisher: World Scientific Publishing Company
ISBN: 981310807X
Category : Mathematics
Languages : en
Pages : 323

Book Description
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.

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

Matrix Calculus And Kronecker Product: A Practical Approach To Linear And Multilinear Algebra (2nd Edition) PDF Author: Willi-hans Steeb
Publisher: World Scientific Publishing Company
ISBN: 981310807X
Category : Mathematics
Languages : en
Pages : 323

Book Description
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.

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

Matrix Calculus, Kronecker Product And Tensor Product: A Practical Approach To Linear Algebra, Multilinear Algebra And Tensor Calculus With Software Implementations (Third Edition) PDF Author: Hardy Yorick
Publisher: World Scientific
ISBN: 9811202532
Category : Mathematics
Languages : en
Pages : 388

Book Description
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.

Matrix Calculus and Kronecker Product

Matrix Calculus and Kronecker Product PDF Author: W.-H. Steeb
Publisher:
ISBN:
Category : Kronecker products
Languages : en
Pages : 0

Book Description


Matrix Calculus, Kronecker Product and Tensor Product

Matrix Calculus, Kronecker Product and Tensor Product PDF Author: Yorick Hardy
Publisher:
ISBN: 9789811202520
Category :
Languages : en
Pages : 388

Book Description


Kronecker Products and Matrix Calculus with Applications

Kronecker Products and Matrix Calculus with Applications PDF Author: Alexander Graham
Publisher: Courier Dover Publications
ISBN: 0486824179
Category : Mathematics
Languages : en
Pages : 145

Book Description
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.

Problems And Solutions In Quantum Computing And Quantum Information (4th Edition)

Problems And Solutions In Quantum Computing And Quantum Information (4th Edition) PDF Author: Willi-hans Steeb
Publisher: World Scientific Publishing Company
ISBN: 9813238429
Category : Science
Languages : en
Pages : 554

Book Description
'This is a very useful book which helps to understand the concepts of quantum computing and quantum information by well presented problems and detailed solutions … It is highly recommended for beginners as well as for advanced researchers.'zbMATHQuantum computing and quantum information are two of the fastest growing and most exciting research fields in physics. Entanglement, teleportation and the possibility of using the non-local behavior of quantum mechanics to factor integers in random polynomial time have also added to this new interest.This book presents a huge collection of problems in quantum computing and quantum information together with their detailed solutions, which will prove to be invaluable to students as well as researchers in these fields. Each chapter gives a comprehensive introduction to the topics. All the important concepts and areas such as quantum gates and quantum circuits, product Hilbert spaces, entanglement and entanglement measures, teleportation, Bell states, Bell measurement, Bell inequality, Schmidt decomposition, quantum Fourier transform, magic gate, von Neumann entropy, quantum cryptography, quantum error corrections, quantum games, number states and Bose operators, coherent states, squeezed states, Gaussian states, coherent Bell states, POVM measurement, quantum optics networks, beam splitter, phase shifter and Kerr Hamilton operator are included. A chapter on quantum channels has also been added. Furthermore a chapter on boolean functions and quantum gates with mapping bits to qubits is included.The topics range in difficulty from elementary to advanced. Almost all problems are solved in detail and most of the problems are self-contained. Each chapter also contains supplementary problems to challenge the reader. Programming problems with Maxima and SymbolicC++ implementations are also provided.

Problems And Solutions In Quantum Computing And Quantum Information (3rd Edition)

Problems And Solutions In Quantum Computing And Quantum Information (3rd Edition) PDF Author: Willi-hans Steeb
Publisher: World Scientific Publishing Company
ISBN: 9813108215
Category : Science
Languages : en
Pages : 423

Book Description
Quantum computing and quantum information are two of the fastest growing and most exciting research fields in physics. Entanglement, teleportation and the possibility of using the non-local behavior of quantum mechanics to factor integers in random polynomial time have also added to this new interest. This book supplies a huge collection of problems in quantum computing and quantum information together with their detailed solutions, which will prove to be invaluable to students as well as researchers in these fields. All the important concepts and topics such as quantum gates and quantum circuits, product Hilbert spaces, entanglement and entanglement measures, deportation, Bell states, Bell inequality, Schmidt decomposition, quantum Fourier transform, magic gate, von Neumann entropy, quantum cryptography, quantum error corrections, number states and Bose operators, coherent states, squeezed states, Gaussian states, POVM measurement, quantum optics networks, beam splitter, phase shifter and Kerr Hamilton operator are included. The topics range in difficulty from elementary to advanced. Almost all problems are solved in detail and most of the problems are self-contained.

Bounds for Determinants of Linear Operators and their Applications

Bounds for Determinants of Linear Operators and their Applications PDF Author: Michael Gil'
Publisher: CRC Press
ISBN: 1498796915
Category : Mathematics
Languages : en
Pages : 224

Book Description
This book deals with the determinants of linear operators in Euclidean, Hilbert and Banach spaces. Determinants of operators give us an important tool for solving linear equations and invertibility conditions for linear operators, enable us to describe the spectra, to evaluate the multiplicities of eigenvalues, etc. We derive upper and lower bounds, and perturbation results for determinants, and discuss applications of our theoretical results to spectrum perturbations, matrix equations, two parameter eigenvalue problems, as well as to differential, difference and functional-differential equations.

Intelligent Computing on IoT 2.0, Big Data Analytics, and Block Chain Technology

Intelligent Computing on IoT 2.0, Big Data Analytics, and Block Chain Technology PDF Author: Mohammad S. Obaidat
Publisher: CRC Press
ISBN: 1040019633
Category : Computers
Languages : en
Pages : 418

Book Description
The book is designed as a reference text and explores the concepts and techniques of IoT, artificial intelligence (AI), and blockchain. It also discusses the possibility of applying blockchain for providing security in various domains. The specific highlight of this book is focused on the application of integrated technologies in enhancing data models, better insights and discovery, intelligent predictions, smarter finance, smart retail, global verification, transparent governance, and innovative audit systems. The book discusses the potential of blockchain to significantly increase data while boosting accuracy and integrity in IoT-generated data and AI-processed information. It elucidates definitions, concepts, theories, and assumptions involved in smart contracts and distributed ledgers related to IoT systems and AI approaches. The book offers real-world uses of blockchain technologies in different IoT systems and further studies its influence in supply chains and logistics, the automotive industry, smart homes, the pharmaceutical industry, agriculture, and other areas. It also presents readers with ways of employing blockchain in IoT and AI, helping them to understand what they can and cannot do with blockchain. The book is aimed primarily at advanced undergraduates and graduates studying computer science, computer engineering, electrical engineering, information systems, computational sciences, artificial intelligence, and information technology. Researchers and professionals will also find this book very useful.

Introduction to Hidden Semi-Markov Models

Introduction to Hidden Semi-Markov Models PDF Author: John van der Hoek
Publisher: Cambridge University Press
ISBN: 1108381987
Category : Mathematics
Languages : en
Pages : 237

Book Description
Markov chains and hidden Markov chains have applications in many areas of engineering and genomics. This book provides a basic introduction to the subject by first developing the theory of Markov processes in an elementary discrete time, finite state framework suitable for senior undergraduates and graduates. The authors then introduce semi-Markov chains and hidden semi-Markov chains, before developing related estimation and filtering results. Genomics applications are modelled by discrete observations of these hidden semi-Markov chains. This book contains new results and previously unpublished material not available elsewhere. The approach is rigorous and focused on applications.