This work is concerned with the spectral, Euclid norms of Toeplitz matrices with generalized 𝑘- Jacobsthal and k- Jacobsthal Lucas entries. 𝑘- Jacobsthal and k- Jacobsthal Lucas sequences are two generalizations of two very popular special integer sequences called Jacobsthal and Jacobsthal Lucas sequences. Upper and lower bounds for the spectral norms of these matrices, that is, the matrices of the forms 𝐴=𝑇 (𝑗𝑘,0 ,𝑗𝑘,1 ,…,𝑗𝑘,𝑛−1 ) and 𝐵=𝑇 (𝑐𝑘,0 ,𝑐𝑘,1 ,…,𝑐𝑘,𝑛−1 ) are obtained. The upper bounds for the Euclidean and spectral norms of Kronecker and Hadamard product matrices of Toeplitz matrices with k-Jacobsthal and the k- Jacobsthal Lucas numbers are computed.
Hadamard product k -Jacobsthal numbers k -Jacobsthal Lucas numbers Kronecker product Norm Toeplitz matrix
Birincil Dil | İngilizce |
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Bölüm | Research Articles |
Yazarlar | |
Yayımlanma Tarihi | 31 Aralık 2020 |
Gönderilme Tarihi | 12 Nisan 2020 |
Yayımlandığı Sayı | Yıl 2020 Sayı: 045 |