Matrix calculus, Kronecker product, and tensor product : (Record no. 59951)
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000 -LEADER | |
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fixed length control field | 03148cam a22002658i 4500 |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
fixed length control field | 190123s2019 nju b 001 0 eng |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
ISBN | 9789811202513 (HB) |
041 ## - LANGUAGE CODE | |
Language code of text/sound track or separate title | eng |
080 ## - UNIVERSAL DECIMAL CLASSIFICATION NUMBER | |
Universal Decimal Classification number | 512.643 |
Item number | HAR |
100 1# - MAIN ENTRY--AUTHOR NAME | |
Personal name | Hardy, Yorick, |
240 10 - UNIFORM TITLE | |
Uniform title | Matrix calculus and Kronecker product |
245 10 - TITLE STATEMENT | |
Title | Matrix calculus, Kronecker product, and tensor product : |
Sub Title | a practical approach to linear algebra, multilinear algebra, and tensor calculus, with software implementations / |
250 ## - EDITION STATEMENT | |
Edition statement | 3rd edition. |
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
Place of publication | Singapore |
Name of publisher | World Scientific |
Year of publication | 2019 |
300 ## - PHYSICAL DESCRIPTION | |
Number of Pages | 373p. |
500 ## - GENERAL NOTE | |
General note | Previous edition: Matrix calculus and Kronecker product : a practical approach to linear and multilinear algebra / Willi-Hans Steeb, Yorick Hardy (2011).<br/>Yorick Hardy (University of the Witwatersrand, South Africa), Willi-Hans Steeb (University of Johannesburg, South Africa). |
504 ## - BIBLIOGRAPHY, ETC. NOTE | |
Bibliography, etc | Includes bibliographical references and index. |
505 0# - FORMATTED CONTENTS NOTE | |
Formatted contents note | Matrix calculus. Denitions and notation -- Matrix operations -- Gram-Schmidt orthonormalization -- Linear equations -- Mutually unbiased bases -- Trace and determinant -- Eigenvalue problem -- Cayley-Hamilton theorem -- Projection matrices -- Unitary, Fourier, and Hadamard matrices -- Transformation of matrices -- Cayley transform -- Permutation matrices -- Spectral theorem -- Singular value decomposition -- Pseudo inverse -- Vec operator -- Vector and matrix norms -- Sequences of vectors and matrices -- Commutators and anti-commutators -- Groups and Lie groups -- Lie algebras -- Functions of matrices -- Nonnormal matrices -- Kronecker product. Denitions and notations -- Basic properties -- Matrix multiplication -- Permutation matrices -- Trace and determinant -- Eigenvalue problem -- Projection matrices -- Unitary, Fourier, and Hadamard matrices -- Direct sum -- Kronecker sum -- Matrix decompositions -- Vec operator and Sylvester equation -- Groups -- Group representation theory -- Commutators and anti-commutators -- Inversion of partitioned matrices -- Nearest Kronecker product -- Gateaux derivative and matrices. |
505 0# - FORMATTED CONTENTS NOTE | |
Formatted contents note | Applications. Trace and partial trace -- Pauli spin matrices -- Spin coherent states -- Pauli group, Cliord groups, and Bell group -- Applications in quantum theory -- Partition functions and thermodynamics -- Dimensional ising model -- Fermi systems -- Dimer problem -- Dimensional Ising model -- Dimensional Heisenberg model -- Hopf algebras -- Quantum groups -- Lax representation -- Signal processing -- Clebsch-gordan series -- Braid-like relations and yang-baxter relations -- Fast Fourier transform -- Entanglement -- Hyperdeterminant -- Tensor eigenvalue problem -- Carleman matrix and bell matrix -- Tensor product>> -- Hilbert spaces -- Hilbert tensor products of Hilbert spaces -- Spin and statistics for the n-body problem -- Exciton-phonon systems -- Interpretation of quantum mechanics -- Universal enveloping algebra -- Tensor fields, metric tensor fields, and ricci tensors -- Software implementations. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical Term | Matrices. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical Term | Kronecker products. |
690 ## - LOCAL SUBJECT ADDED ENTRY--TOPICAL TERM (OCLC, RLIN) | |
Topical term or geographic name as entry element | Mathematics |
700 1# - ADDED ENTRY--PERSONAL NAME | |
Personal name | Steeb, W.-H. |
942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
Koha item type | BOOKS |
Withdrawn status | Lost status | Damaged status | Not for loan | Current library | Shelving location | Full call number | Accession Number | Koha item type |
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IMSc Library | First Floor, Rack No:30 Shelf No:7 | 512.643 HAR | 77366 | BOOKS |