In this paper, we define a particular $n\times n$ matrix $H=[H_{k_{i,j}}]_{i,j=1}^{n}$ and its Hadamard exponential matrix $e^{\circ H}=[e^{H_{k_{i,j}}}]$, where $k_{i,j}=min(i,j)$ and $H_n$ is the $n^{th}$ harmonic number. Determinants and inverses of these matrices are investigated. Moreover, the Euclidean norm and two upper bounds and lower bounds for the spectral norm of these matrices are presented. Finally, we derive some identities about principal minors of these matrices.
Birincil Dil | İngilizce |
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Konular | Matematik |
Bölüm | Articles |
Yazarlar | |
Yayımlanma Tarihi | 15 Nisan 2022 |
Gönderilme Tarihi | 7 Şubat 2021 |
Kabul Tarihi | 8 Aralık 2021 |
Yayımlandığı Sayı | Yıl 2022 Cilt: 10 Sayı: 1 |