An edition of Matrix calculus and Kronecker product
(2011)
Matrix calculus and Kronecker product
a practical approach to linear and multilinear algebra
2nd ed.
by W.-H Steeb
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Matrices, Kronecker products, Computer programming| Edition | Availability |
|---|---|
1
Matrix calculus and Kronecker product: a practical approach to linear and multilinear algebra
2011, World Scientific
in English
- 2nd ed.
9814335312 9789814335317
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Book Details
Table of Contents
Machine generated contents note: -- 1.
Matrix Calculus -- -- 1.1.
Definitions and Notation -- -- 1.2.
Matrix Operations -- -- 1.3.
Linear Equations -- -- 1.4.
Trace and Determinant -- -- 1.5.
Eigenvalue Problem -- -- 1.6.
Cayley-Hamilton Theorem -- -- 1.7.
Projection Matrices -- -- 1.8.
Fourier and Hadamard Matrices -- -- 1.9.
Transformation of Matrices -- -- 1.10.
Permutation Matrices -- -- 1.11.
Matrix Decompositions -- -- 1.12.
Pseudo Inverse -- -- 1.13.
Vec Operator -- -- 1.14.
Vector and Matrix Norms -- -- 1.15.
Rank-k Approximations -- -- 1.16.
Sequences of Vectors and Matrices -- -- 1.17.
Gram-Schmidt Orthonormalization -- -- 1.18.
Groups -- -- 1.19.
Lie Algebras -- -- 1.20.
Commutators and Anti-Commutators -- -- 1.21.
Functions of Matrices -- -- 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 -- -- 2.8.
Fourier and Hadamard Matrices -- -- 2.9.
Direct Sum --
2.10.
Kronecker Sum -- -- 2.11.
Matrix Decompositions -- -- 2.12.
Vec Operator -- -- 2.13.
Groups -- -- 2.14.
Group Representation Theory -- -- 2.15.
Commutators and Anti-Commutators -- -- 2.16.
Inversion of Partitioned Matrices -- -- 2.17.
Nearest Kronecker Product -- -- 3.
Applications -- -- 3.1.
Spin Matrices -- -- 3.2.
Pauli Group, Clifford Groups and Bell Group -- -- 3.3.
Application in Quantum Theory -- -- 3.4.
Thermodynamics -- -- 3.5.
One Dimensional Ising Model -- -- 3.6.
Fermi Systems -- -- 3.7.
Dimer Problem -- -- 3.8.
Two Dimensional Ising Model -- -- 3.9.
One Dimensional Heisenberg Model -- -- 3.10.
Hopf Algebras -- -- 3.11.
Quantum Groups -- -- 3.12.
Lax Representation -- -- 3.13.
Signal Processing -- -- 3.14.
Clebsch-Gordan Series -- -- 3.15.
Braid-like Relations -- -- 3.16.
Fast Fourier Transform -- -- 3.17.
Image Compression -- -- 4.
Tensor Product -- -- 4.1.
Hilbert Spaces -- -- 4.2.
Hilbert Tensor Products of Hilbert Spaces -- -- 4.3.
Spin and Statistics for the n-Body Problem -- -- 4.4.
Exciton-Phonon Systems -- -- 4.5.
Interpretation of Quantum Mechanics -- -- 4.6.
Universal Enveloping Algebra -- -- 5.
Computer Algebra Implementations.
Edition Notes
Includes bibliographical references (p. 301-304) and index.
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| September 11, 2021 | Edited by ImportBot | import existing book |
| August 2, 2020 | Edited by ImportBot | import existing book |
| August 8, 2012 | Created by LC Bot | import new book |