Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2602.07175 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866908818383831040 |
|---|---|
| author | Chen, Xiao You Moghaddamfar, Ali Reza Moghaddamfar, Kambiz |
| author_facet | Chen, Xiao You Moghaddamfar, Ali Reza Moghaddamfar, Kambiz |
| contents | This article examines matrices whose entries are determined by recursive relations of the form $A_{i, j} = x A_{i, j-1} + y A_{i-1, j-1} + z A_{i-1, j}$, where $x, y, z$ are constants, and the initial conditions are defined along the first row and column. We present a general decomposition for such matrices and show that many of the known decompositions are particular cases of this more general decomposition. Additionally, we provide a decomposition of these matrices into Pascal-like matrices and a basic Toeplitz matrix. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_07175 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Factorizations of Matrices With Recursive Entries and Related Topics Chen, Xiao You Moghaddamfar, Ali Reza Moghaddamfar, Kambiz Combinatorics 15A15, 15A23, 11C20 This article examines matrices whose entries are determined by recursive relations of the form $A_{i, j} = x A_{i, j-1} + y A_{i-1, j-1} + z A_{i-1, j}$, where $x, y, z$ are constants, and the initial conditions are defined along the first row and column. We present a general decomposition for such matrices and show that many of the known decompositions are particular cases of this more general decomposition. Additionally, we provide a decomposition of these matrices into Pascal-like matrices and a basic Toeplitz matrix. |
| title | Factorizations of Matrices With Recursive Entries and Related Topics |
| topic | Combinatorics 15A15, 15A23, 11C20 |
| url | https://arxiv.org/abs/2602.07175 |