Matrix calculus and Kronecker product - Info and Reading Options
a practical approach to linear and multilinear algebra
By W.-H Steeb
"Matrix calculus and Kronecker product" was published by World Scientific in 2011 - Singapore, it has 308 pages and the language of the book is English.
“Matrix calculus and Kronecker product” Metadata:
- Title: ➤ Matrix calculus and Kronecker product
- Author: W.-H Steeb
- Language: English
- Number of Pages: 308
- Publisher: World Scientific
- Publish Date: 2011
- Publish Location: Singapore
“Matrix calculus and Kronecker product” Subjects and Themes:
- Subjects: Matrices - Kronecker products - Computer programming
Edition Specifications:
- Pagination: xi, 308 p. ;
Edition Identifiers:
- The Open Library ID: OL25403665M - OL16768303W
- Online Computer Library Center (OCLC) ID: 725093451
- Library of Congress Control Number (LCCN): 2011377671
- ISBN-13: 9789814335317
- ISBN-10: 9814335312
- All ISBNs: 9814335312 - 9789814335317
AI-generated Review of “Matrix calculus and Kronecker product”:
"Matrix calculus and Kronecker product" Table Of Contents:
- 1- Machine generated contents note: -- 1.
- 2- Matrix Calculus -- -- 1.1.
- 3- Definitions and Notation -- -- 1.2.
- 4- Matrix Operations -- -- 1.3.
- 5- Linear Equations -- -- 1.4.
- 6- Trace and Determinant -- -- 1.5.
- 7- Eigenvalue Problem -- -- 1.6.
- 8- Cayley-Hamilton Theorem -- -- 1.7.
- 9- Projection Matrices -- -- 1.8.
- 10- Fourier and Hadamard Matrices -- -- 1.9.
- 11- Transformation of Matrices -- -- 1.10.
- 12- Permutation Matrices -- -- 1.11.
- 13- Matrix Decompositions -- -- 1.12.
- 14- Pseudo Inverse -- -- 1.13.
- 15- Vec Operator -- -- 1.14.
- 16- Vector and Matrix Norms -- -- 1.15.
- 17- Rank-k Approximations -- -- 1.16.
- 18- Sequences of Vectors and Matrices -- -- 1.17.
- 19- Gram-Schmidt Orthonormalization -- -- 1.18.
- 20- Groups -- -- 1.19.
- 21- Lie Algebras -- -- 1.20.
- 22- Commutators and Anti-Commutators -- -- 1.21.
- 23- Functions of Matrices -- -- 2.
- 24- Kronecker Product -- -- 2.1.
- 25- Definitions and Notations -- -- 2.2.
- 26- Basic Properties -- -- 2.3.
- 27- Matrix Multiplication -- -- 2.4.
- 28- Permutation Matrices -- -- 2.5.
- 29- Trace and Determinant -- -- 2.6.
- 30- Eigenvalue Problem -- -- 2.7.
- 31- Projection Matrices -- -- 2.8.
- 32- Fourier and Hadamard Matrices -- -- 2.9.
- 33- Direct Sum --
- 34- 2.10.
- 35- Kronecker Sum -- -- 2.11.
- 36- Matrix Decompositions -- -- 2.12.
- 37- Vec Operator -- -- 2.13.
- 38- Groups -- -- 2.14.
- 39- Group Representation Theory -- -- 2.15.
- 40- Commutators and Anti-Commutators -- -- 2.16.
- 41- Inversion of Partitioned Matrices -- -- 2.17.
- 42- Nearest Kronecker Product -- -- 3.
- 43- Applications -- -- 3.1.
- 44- Spin Matrices -- -- 3.2.
- 45- Pauli Group, Clifford Groups and Bell Group -- -- 3.3.
- 46- Application in Quantum Theory -- -- 3.4.
- 47- Thermodynamics -- -- 3.5.
- 48- One Dimensional Ising Model -- -- 3.6.
- 49- Fermi Systems -- -- 3.7.
- 50- Dimer Problem -- -- 3.8.
- 51- Two Dimensional Ising Model -- -- 3.9.
- 52- One Dimensional Heisenberg Model -- -- 3.10.
- 53- Hopf Algebras -- -- 3.11.
- 54- Quantum Groups -- -- 3.12.
- 55- Lax Representation -- -- 3.13.
- 56- Signal Processing -- -- 3.14.
- 57- Clebsch-Gordan Series -- -- 3.15.
- 58- Braid-like Relations -- -- 3.16.
- 59- Fast Fourier Transform -- -- 3.17.
- 60- Image Compression -- -- 4.
- 61- Tensor Product -- -- 4.1.
- 62- Hilbert Spaces -- -- 4.2.
- 63- Hilbert Tensor Products of Hilbert Spaces -- -- 4.3.
- 64- Spin and Statistics for the n-Body Problem -- -- 4.4.
- 65- Exciton-Phonon Systems -- -- 4.5.
- 66- Interpretation of Quantum Mechanics -- -- 4.6.
- 67- Universal Enveloping Algebra -- -- 5.
- 68- Computer Algebra Implementations.
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