首页|Accurate computations with Wronskian matrices of Bessel and Laguerre polynomials

Accurate computations with Wronskian matrices of Bessel and Laguerre polynomials

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  • NSTL
  • Elsevier
This paper provides an accurate method to obtain the bidiagonal factorization of Wronskian matrices of Bessel polynomials and of Laguerre polynomials. This method can be used to compute with high relative accuracy their singular values, the inverse of these matrices, as well as the solution of some related systems of linear equations. Numerical examples illustrating the theoretical results are included.

Bessel polynomialsBidiagonal decompositionsHigh relative accuracyLaguerre polynomialsTotally positive matricesWronskian matrices

Mainar E.、Pena J.M.、Rubio B.

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Departamento de Matemática Aplicada/IUMA Universidad de Zaragoza

2022

10.1016/j.laa.2022.04.004

Linear Algebra and its Applications

Linear Algebra and its Applications

EISCI
ISSN：0024-3795
年,卷(期)：2022.647
  • 19