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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 /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Matrix calculus, Kronecker product, and tensor product :Yorick Hardy (University of the Witwatersrand, South Africa), Willi-Hans Steeb (University of Johannesburg, South Africa).
其他題名:	a practical approach to linear algebra, multilinear algebra, and tensor calculus, with software implementations /
作者:	Hardy, Yorick,
其他作者:	Steeb, W.-H.,
面頁冊數:	xiv, 373 pages ;24 cm
附註:	Previous edition: Matrix calculus and Kronecker product : a practical approach to linear and multilinear algebra / Willi-Hans Steeb, Yorick Hardy (2011).
標題:	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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100 1 $a Hardy, Yorick, $d 1976- $3 239382
240 1 0 $a Matrix calculus and Kronecker product
245 1 0 $a Matrix calculus, Kronecker product, and tensor product : $b a practical approach to linear algebra, multilinear algebra, and tensor calculus, with software implementations / $c Yorick Hardy (University of the Witwatersrand, South Africa), Willi-Hans Steeb (University of Johannesburg, South Africa).
250 $a Third edition.
264 1 $a Singapore ; $a Hackensack, NJ : $b World Scientific Publishing Co. Pte. Ltd., $c [2019]
300 $a xiv, 373 pages ; $c 24 cm
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338 $a volume $b nc $2 rdacarrier
500 $a Previous edition: Matrix calculus and Kronecker product : a practical approach to linear and multilinear algebra / Willi-Hans Steeb, Yorick Hardy (2011).
504 $a Includes bibliographical references and index.
505 0 $a 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 $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.
650 0 $a Matrices. $3 181876
650 0 $a Kronecker products. $3 569134
700 1 $a Steeb, W.-H., $e author. $3 857110
700 1 $a Steeb, W.-H. $3 234872
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