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Matrix-product neural network based on sequence block matrix product
The Journal of Supercomputing, 2022Chuanhui Shan, Jun Ou, Xiumei Chen
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Rank of the Partitioned Matrix and the Matrix Product
2011There are numerous situations in the world of linear models and multivariate analysis when we need to find some appropriate expressions for the rank of the matrix product AB, or of the partitioned matrix (A : B), for conformable matrices A and B. Our favourite expressions are represented in the following theorem.
Simo Puntanen +2 more
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Matrix Approximation by a Sum of Matrix Products
International Journal of Applied and Computational Mathematics, 2023Anatoli Torokhti +2 more
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“Random” random matrix products
Journal d'Analyse Mathématique, 2001This paper studies compositions of independent random bundle maps \(F(x,a)=f_Fx,T_F(x)a\), \(x\in X\), \(a\in \mathbb R^d\), where \(X\) is a Borel subset of a Polish space, whose distributions form a stationary process. This specializes to the case of products of independent random matrices evolving by a stationary process and generalizes many results
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A trace inequality for matrix product
IEEE Transactions on Automatic Control, 1995A well-known trace inequality for positive semidefinite matrices is extended to arbitrary Hermitian matrices. When using this result for the product of two matrices, when only one is Hermitian, the author improves a recent trace inequality by \textit{Y. Fang}, \textit{K. A. Loparo} and \textit{X. Fang} [ibid. 39, No. 12, 2489-2490 (1994; Zbl 0825.93107)
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Matrix product states and projected entangled pair states: Concepts, symmetries, theorems
Reviews of Modern Physics, 2021Norbert Schuch +2 more
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A Discrete Matrix-product Operation
2022 the 5th International Conference on Image and Graphics Processing (ICIGP), 2022Chuanhui Shan, Xiumei Chen
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Time-evolution methods for matrix-product states
Annals of Physics, 2019Claudius Hubig +2 more
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