Results 191 to 200 of about 1,823 (234)
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Shifted Kronecker Product Systems
SIAM Journal on Matrix Analysis and Applications, 2007A fast method for solving a linear system of the form $(A^{(p)} \otimes \cdots \otimes A^{(1)} - \lambda I) x = b$ is given where each $A^{(i)}$ is an $n_i$-by-$n_i$ matrix. The first step is to convert the problem to triangular form $(T^{(p)} \otimes \cdots \otimes T^{(1)} - \lambda I) y = c$ by computing the (complex) Schur decompositions of the $A^{(
Carla D. Moravitz Martin +1 more
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Kronecker Products on Preconditioning
2013Numerical techniques for linear systems arising from discretization of partial differential equations are nowadays essential for understanding the physical world. Among these techniques, iterative methods and the accompanying preconditioning techniques have become increasingly popular due to their great potential on large scale computation.
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Kronecker product graph matching
Pattern Recognition, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Barend J. van Wyk, Michaël A. van Wyk
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Shuffles of permutations and the Kronecker product
Graphs and Combinatorics, 1985In this paper the authors have obtained a general result relating to shuffles of permutation and Kronecker products which leads to combinatorial interpretation of the Kronecker coefficient \(C_{i,j,k}=\) where \(S_ i\) are the Schur functions. Most of the paper is devoted to the earlier work in this field with new proofs and interesting interpretations.
Adriano M. Garsia, Jeffrey B. Remmel
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Differential Kronecker Product Beamforming
IEEE/ACM Transactions on Audio, Speech, and Language Processing, 2019Differential beamformers have attracted much interest over the past few decades. In this paper, we introduce differential Kronecker product beamformers that exploit the structure of the steering vector to perform beamforming differently from the well-known and studied conventional approach.
Israel Cohen +2 more
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Networks, communities and kronecker products
Proceedings of the 1st ACM international workshop on Complex networks meet information & knowledge management, 2009Emergence of the web and online computing applications gave rise to rich large scale social activity data. One of the principal challenges then is to build models and understanding of the structure of such large social and information networks. Here I present our work on clustering and community structure in large networks, where clusters are thought ...
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Kronecker’s Products and Kronecker’s Sums of Operators
2016This chapter is a survey of recent results of the author on operators on tensor products of Hilbert and Euclidean spaces. We derive norm estimates for the resolvents of Kronecker’s products of operators, Kronecker’s sums of operators, and operator pencils on tensor products of Hilbert spaces.
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The Procrustes Problem for Orthogonal Kronecker Products
SIAM Journal of Scientific Computing, 2003Summary: The Procrustes problem for orthogonal Kronecker products is considered. Given matrices \(A\in \mathbb{R}^{n^2\times k^2}\), \(T\in \mathbb{R}^{n^2\times n^2},\) \(n\geq k\), we minimize the Frobenius norm \(\| T(Q\otimes Q)-A\| \) for all orthogonal Stiefel matrices \(Q\in \mathbb{R}^{n\times k}\), \(Q^TQ=I_{k}\).
Adam W. Bojanczyk, Adam Lutoborski
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Sparse recovery and Kronecker products
2010 44th Annual Conference on Information Sciences and Systems (CISS), 2010In this note will consider sufficient conditions for sparse recovery such as Spark, coherence, restricted isometry property (RIP) and null space property (NSP). Then we will discuss the solution of underdetermined linear equations when the matrix is the Kronecker product of matrices. Specially we will explain how NSP behave in the case where the matrix
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Some remarks on the Kronecker product of graphs
Information Processing Letters, 1998zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bottreau, A., Métivier, Yves
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