Accurate computations with Laguerre matrices. Issue 1 (5th October 2018)

• Record Type: Journal Article
• Authors: Delgado, Jorge; Orera, Héctor; Peña, Juan Manuel
• Is Part Of: Numerical linear algebra with applications. Volume 26:Issue 1(2019)
• Page Start: n/a
• Page End: n/a
• Publication Date: 2018-10-05
• Subjects: generalized Laguerre polynomials -- high relative accuracy -- Laguerre matrices -- Lah matrices -- total positivity; Algebras, Linear -- Periodicals; 512.5
• DOI: 10.1002/nla.2217
• Languages: English
• ISSNs: 1070-5325

Abstract

Summary: This paper provides an accurate method to obtain the bidiagonal factorization of collocation matrices of generalized Laguerre polynomials and of Lah 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.