منابع مشابه
Defect of a Kronecker product of unitary matrices
The generalized defect D(U) of a unitary N ×N matrix U with no zero entries is the dimension of the real space of directions, moving into which from U we do not disturb the moduli |Ui,j | as well as the Gram matrix U∗U in the first order. Then the defect d(U) is equal to D(U) − (2N − 1), that is the generalized defect diminished by the dimension of the manifold {DrUDc : Dr,Dc unitary diagonal}....
متن کاملA constructive arbitrary-degree Kronecker product decomposition of matrices
We propose a constructive algorithm, called the tensor-based Kronecker product (KP) singular value decomposition (TKPSVD), that decomposes an arbitrary real matrix A into a finite sum of KP terms with an arbitrary number of d factors, namely A = ∑R j=1 σj A dj ⊗ · · · ⊗A1j . The algorithm relies on reshaping and permuting the original matrix into a d-way tensor, after which its tensor-train ran...
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We consider the conditions under which the Cayley transform of the Kronecker product of two Hermitian matrices can be again presented as a Kronecker product of two matrices and, if so, if it is a product of the Cayley transforms of the two Hermitian matrices. 2010 Math. Subj. Class.: 15A69, 15B57.
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In this paper, we consider the approximation of dense block Toeplitz-plus-Hankel matrices by sums of Kronecker products. We present an algorithm for efficiently computing the matrix approximation that requires the factorization of matrices of much smaller dimension than that of the original. The main results are described for block Toeplitz matrices with Toeplitz-plus-Hankel blocks (BTTHB), but...
متن کاملThe partition algebra and the Kronecker product ( Extended abstract )
We propose a new approach to study the Kronecker coefficients by using the Schur–Weyl duality between the symmetric group and the partition algebra. Résumé. Nous proposons une nouvelle approche pour l’étude des coéfficients de Kronecker via la dualité entre le groupe symétrique et l’algèbre des partitions.
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 1976
ISSN: 0022-247X
DOI: 10.1016/0022-247x(76)90047-0