Öz
In this paper, we present a new analogue of the Filbert and Lilbert matrices whose the indices have different asymmetric and nonlinear rules according to their row numbers. Explicit formulæ are derived for the LU-decompositions, their inverses and the inverse of main matrix as well as its determinant. To prove the claimed results we use backward induction method. The asymmetric variants of the Filbert and Lilbert matrices are obtained from our results for a particular q value.
Anahtar Kelimeler
Filbert matrix Lilbert matrix q-analogue LU-decomposition inverse matrix determinant
Kaynakça
- [1] Y. Amanbek, Z. Du, Y. Erlangga, C.M. da Fonseca, B. Kurmanbek and A. Pereira, Explicit determinantal formula for a class of banded matrices, Open Math. 18 (1), 1227-1229, 2020
Öz
Kaynakça
- [1] Y. Amanbek, Z. Du, Y. Erlangga, C.M. da Fonseca, B. Kurmanbek and A. Pereira, Explicit determinantal formula for a class of banded matrices, Open Math. 18 (1), 1227-1229, 2020
Ayrıntılar
| Birincil Dil | İngilizce |
|---|---|
| Konular | Matematik |
| Bölüm | Matematik |
| Yazarlar | |
| Erken Görünüm Tarihi | 14 Eylül 2023 |
| Yayımlanma Tarihi | |
| Yayımlandığı Sayı | Yıl 2024 Erken Görünüm |