Results 271 to 280 of about 4,801,130 (303)
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Eigenvalue Inequalities for Matrix Product
IEEE Transactions on Automatic Control, 2006We present a family of eigenvalue inequalities for the product of a Hermitian matrix and a positive-semidefinite matrix.
Fuzhen Zhang, Qingling Zhang 0001
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Quantifying matrix product state
Quantum Information Processing, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Amandeep Singh Bhatia, Ajay Kumar 0003
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On the trace bound of a matrix product
IEEE Transactions on Automatic Control, 1996With the basic equations of state-space control theory, the matrix Riccati and Lyapunov equations are connected to a priori estimates of their solutions. Fang-Loparo-Feng in 1994 improved such estimates; the authors continue this work, giving better lower and upper bounds of the product of two matrices. Introducing a sparse matrix to diagonalize one of
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Equivalence of a matrix product to the Kronecker product.
2000The authors give an interesting proof of the permutation equivalence of the Tracy-Singh product for partitioned matrices[\textit{D. S. Tracy} and \textit{R. P. Singh}, Stat. Neerl. 26, 143--157 (1972; Zbl 0267.15009); \textit{S. Liu}, Linear Algebra Appl. 289, No. 1-3, 267--277 (1999; Zbl 0937.15015)] to the Kronecker product.
Wei, Yimin, Zhang, Fuzhen
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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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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-product neural network based on sequence block matrix product
The Journal of Supercomputing, 2022Chuanhui Shan, Jun Ou, Xiumei Chen
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Bit complexity of matrix products
Information Processing Letters, 1991zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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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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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