Work

High Relative Accuracy With Collocation Matrices of q$$ q $$‐Jacobi Polynomials

Year: 2024

Type: article

Abstract: ABSTRACT Little ‐Jacobi polynomials belong to the field of quantum calculus. This article obtains the bidiagonal decomposition of the collocation matrices of these polynomials, showing that, in many cases, it can be constructed to high relative accuracy (HRA). Then, it can be used to compute with HRA the inverses, eigenvalues, and singular values of these matrices. Numerical experiments are provided and illustrate the excellent results obtained when applying the presented methods.

Source: Numerical Linear Algebra with Applications

DOI: 10.1002/nla.2602

Authors: Jorge Delgado, Héctor Orera, Juan Manuel Peña

Institution: Universidad de Zaragoza

Language: English

Topic: Matrix Theory and Algorithms

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $4,650

Funders: Ministerio de Ciencia, Innovación y Universidades, Gobierno de Aragón, Agencia Estatal de Investigación