A particular matrix with exponential form, its inversion and some norms
In this paper, we study a particular $ n\times n $ matrix $ A = [a_{k_{ij}}]^n_{i, j = 1} $ and its Hadamard inverse $ A^{\circ (-1)} $, whose entire elements are exponential form $ a_k = e(\frac{k}{n}) = e^{\frac{2\pi ik}{n}}, $ where $ k_{ij} = \min(i, j)+1 $. We study determinants, leading princi...
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| Format: | Article |
| Language: | English |
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AIMS Press
2022-02-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2022458?viewType=HTML |