Accurate Bidiagonal Decomposition and Computations with Generalized Pascal Matrices
Numerical Analysis
2025-01-22 v1 Numerical Analysis
Abstract
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.
Cite
@article{arxiv.2501.11987,
title = {Accurate Bidiagonal Decomposition and Computations with Generalized Pascal Matrices},
author = {Jorge Delgado and Héctor Orera and Juan Manuel Peña},
journal= {arXiv preprint arXiv:2501.11987},
year = {2025}
}