Screen LibraryMatrix calculus and Kronecker product with applications and C++ programs /
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 Kronecke...
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| Published: |
World Scientific Pub. Co.,
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| Publisher Address: | Singapore ; River Edge, N.J. : |
| Publication Dates: | 1997. |
| Literature type: | eBook |
| Language: | English |
| Subjects: | |
| Online Access: |
http://www.worldscientific.com/worldscibooks/10.1142/3572#t=toc |
| Summary: |
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. |
| Carrier Form: | 1 online resource (xi,254pages) |
| Bibliography: | Includes bibliographical references (pages 249-251) and index. |
| ISBN: | 9789812819390 |
| Index Number: | QA188 |
| CLC: | O241.6-39 |
| Contents: | 1. Matrix calculus. 1.1. Definitions and notation. 1.2. Trace and determinant. 1.3. Eigenvalue problem. 1.4. Projection matrices. 1.5. Fourier and Hadamard matrices. 1.6. Transformation of matrices. 1.7. Permutation matrices. 1.8. Vec operator. 1.9. Vector and matrix norms. 1.10. Sequences of vectors and matrices. 1.11. Groups. 1.12. Lie algebras. 1.13. Application in quantum theory -- 2. Kronecker product. 2.1. Definitions and notations. 2.2. Basic properties. 2.3. Matrix multiplication. 2.4. Permutation matrices. 2.5. Trace and determinant. 2.6. Eigenvalue problem. 2.7. Projection matrices |