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A Fast Algorithm to Factorize High-Dimensional Tensor Product Matrices

Marco Lopez-Cruz, Paulino Perez-Rodriguez, Gustavo de Los Campos

Last update: 8 February 2024

Copyright license: GNU General Public License, version 3.0

Software version identifier: 0.1.0, 0.1.1

Here we provide tools for the computation and factorization of high-dimensional tensor products that are formed by smaller matrices. The methods are based on properties of Kronecker products (Searle 1982, p. 265, ISBN-10: 0470009616). We evaluated this methodology by benchmark testing and illustrated its use in Gaussian Linear Models ('Lopez-Cruz et al., 2024') <doi:10.1093/g3journal/jkae001>.





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