Factorizing matrices by Dirichlet multiplication |
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Authors: | Artur Sowa |
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Institution: | Department of Mathematics and Statistics, University of Saskatchewan, 106 Wiggins Road, Saskatoon, SK, Canada S7N 5E6 |
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Abstract: | We show that nonsingular matrices factor into products of Dirichlet multipliers (defined in the article). In particular, this yields a decomposition of an arbitrary nonsingular matrix into a product of sparse matrices. In addition, we demonstrate how the factorizations at hand can be implemented numerically via efficient algorithms. |
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