Accurate Computations with Generalized Pascal <i>k</i>-Eliminated Functional Matrices

Accurate Computations with Generalized Pascal <i>k</i>-Eliminated Functional Matrices

This paper presents an accurate method to obtain the bidiagonal decomposition of some generalized Pascal matrices, including Pascal <i>k</i>-eliminated functional matrices and Pascal symmetric functional matrices. Sufficient conditions to assure that these matrices are either totally pos...

Full description

Saved in:
Bibliographic Details
Main Authors: Jorge Delgado, Héctor Orera, Juan Manuel Peña
Format: Article
Language:English
Published: MDPI AG 2025-01-01
Series:Mathematics
Subjects:
bidiagonal decomposition
high relative accuracy
total positivity
k-eliminated Pascal matrix
Online Access:https://www.mdpi.com/2227-7390/13/2/303
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:This paper presents an accurate method to obtain the bidiagonal decomposition of some generalized Pascal matrices, including Pascal <i>k</i>-eliminated functional matrices and Pascal symmetric functional matrices. Sufficient conditions to assure that these matrices are either totally positive or inverse of totally positive matrices are provided. In these cases, the presented method can be used to compute their eigenvalues, singular values and inverses with high relative accuracy. Numerical examples illustrate the high accuracy of our approach.
ISSN:2227-7390

Similar Items