Accurate Bidiagonal Decomposition and Computations with Generalized Pascal Matrices
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866912197199790080 |
|---|---|
| author | Delgado, Jorge Orera, Héctor Peña, Juan Manuel |
| author_facet | Delgado, Jorge Orera, Héctor Peña, Juan Manuel |
| contents | This paper provides an accurate method to obtain the bidiagonal factorization of many generalized Pascal matrices, which in turn can be used to compute with high relative accuracy the eigenvalues, singular values and inverses of these matrices. Numerical examples are included. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_11987 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Accurate Bidiagonal Decomposition and Computations with Generalized Pascal Matrices Delgado, Jorge Orera, Héctor Peña, Juan Manuel Numerical Analysis 65F05, 65F15, 65G50, 15A23, 05A05, 11B65 This paper provides an accurate method to obtain the bidiagonal factorization of many generalized Pascal matrices, which in turn can be used to compute with high relative accuracy the eigenvalues, singular values and inverses of these matrices. Numerical examples are included. |
| title | Accurate Bidiagonal Decomposition and Computations with Generalized Pascal Matrices |
| topic | Numerical Analysis 65F05, 65F15, 65G50, 15A23, 05A05, 11B65 |
| url | https://arxiv.org/abs/2501.11987 |