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Matrix calculus, Kronecker product, ...
~
Hardy, Yorick, (1976-)
Matrix calculus, Kronecker product, and tensor product :a practical approach to linear algebra, multilinear algebra, and tensor calculus, with software implementations /
Record Type:
Language materials, printed : Monograph/item
Title/Author:
Matrix calculus, Kronecker product, and tensor product :Yorick Hardy (University of the Witwatersrand, South Africa), Willi-Hans Steeb (University of Johannesburg, South Africa).
Reminder of title:
a practical approach to linear algebra, multilinear algebra, and tensor calculus, with software implementations /
Author:
Hardy, Yorick,
other author:
Steeb, W.-H.,
Description:
xiv, 373 pages ;24 cm
Notes:
Previous edition: Matrix calculus and Kronecker product : a practical approach to linear and multilinear algebra / Willi-Hans Steeb, Yorick Hardy (2011).
Subject:
Matrices.
ISBN:
9789811202513
Matrix calculus, Kronecker product, and tensor product :a practical approach to linear algebra, multilinear algebra, and tensor calculus, with software implementations /
Hardy, Yorick,1976-
Matrix calculus, Kronecker product, and tensor product :
a practical approach to linear algebra, multilinear algebra, and tensor calculus, with software implementations /Yorick Hardy (University of the Witwatersrand, South Africa), Willi-Hans Steeb (University of Johannesburg, South Africa). - Third edition. - xiv, 373 pages ;24 cm
Previous edition: Matrix calculus and Kronecker product : a practical approach to linear and multilinear algebra / Willi-Hans Steeb, Yorick Hardy (2011).
Includes bibliographical references and index.
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.
ISBN: 9789811202513$98.00
Standard No.: 40029230987
Source: cam 2200409 i 4500
LCCN: 2019003179
Nat. Bib. Agency Control No.: 019503179UkSubjects--Topical Terms:
181876
Matrices.
LC Class. No.: QA188 / .S662 2019
Dewey Class. No.: 512.9/434
Matrix calculus, Kronecker product, and tensor product :a practical approach to linear algebra, multilinear algebra, and tensor calculus, with software implementations /
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Matrix calculus and Kronecker product
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Matrix calculus, Kronecker product, and tensor product :
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a practical approach to linear algebra, multilinear algebra, and tensor calculus, with software implementations /
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Yorick Hardy (University of the Witwatersrand, South Africa), Willi-Hans Steeb (University of Johannesburg, South Africa).
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Third edition.
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Singapore ;
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Includes bibliographical references and index.
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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
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$a
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.
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TWNUK
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西方語文圖書區(四樓)
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西方語文圖書區(四樓)
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