Results 11 to 20 of about 1,823 (234)
On the history of the kronecker product [PDF]
Linear and Multilinear Algebra, 1983 History reveals that what is today called the Kronecker product should be called the Zehfuss product.
Henderson, Harold V. +2 more
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Controllability of Kronecker product networks [PDF]
Automatica, 2019 A necessary and sufficient condition is derived for the controllability of Kronecker product networks, where the factor networks are general directed graphs. The condition explicitly illustrates how the controllability of the factor networks affects the controllability of the composite network.
Yuqing Hao +3 more
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Journal of Combinatorial Theory, Series A, 1994 The paper obtains algebraic structure theorems and properties for the strong Kronecker product of two block matrices, \(M= [M_{ij}]\) and \(N= [N_{jk}]\), where \(i= 1,\dots,r\), \(j= 1,\dots,t\), \(k= 1,\dots,u\), each \(M_{ij}\) is an \(m\times p\) submatrix, each \(N_{jk}\) is an \(n\times q\) matrix, namely: \(M\circ N= [L_{ik}]\), \(i= 1,\dots,r\),
de Launey, Warwick, Seberry, Jennifer
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Notes and counterexamples on positive (semi) definite properties of some matrix products
Ain Shams Engineering Journal, 2018 In the present paper, we give some notes and counterexamples to show that the positive (semi) definite property of the Khatri-Rao and Tracy-Singh products of partitioned matrices are in general incorrect and show also that the matrix triangle inequality ...
Zeyad Al-Zhour
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On a formula of spin sums, Eisenstein-Kronecker series in higher genus Riemann surfaces
Nuclear Physics B, 2023 We discuss a decomposition formula of simple products of fermion correlation functions with cyclic constrains and its applications to spin sums of super string amplitudes.Based on some facts which are noted or derived in this paper, we propose a ...
A.G. Tsuchiya
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Expressions for Catalan Kronecker products [PDF]
Pacific Journal of Mathematics, 2010 19 ...
Brown, Andrew A. H. +2 more
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Pacific salmon and the coalescent effective population size. [PDF]
PLoS ONE, 2010 Pacific salmon include several species that are both commercially important and endangered. Understanding the causes of loss in genetic variation is essential for designing better conservation strategies.
Can Cenik, John Wakeley
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On Hadamard and Kronecker products in covariance structures for genotype × environment interaction
The Plant Genome, 2020 When including genotype × environment interactions (G × E) in genomic prediction models, Hadamard or Kronecker products have been used to model the covariance structure of interactions.
Johannes W. R. Martini +3 more
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Current Directions in Biomedical Engineering, 2021 Gaussian processes are a versatile tool for data processing. Unfortunately, due to storage and runtime requirements, standard Gaussian process (GP) methods are limited to a few thousand data points.
Prüßmann Jannik +2 more
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Specification of initial Kalman recursions of symmetric nonlinear state-space model
Heliyon, 2020 A new class of nonlinear Time Series model referred to as Symmetric Nonlinear State-Space Model (SNSSM) was successfully developed using Kalman filter methodology.
M. Tasi'u +3 more
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