Accurate computations with Wronskian matrices of Bessel and Laguerre polynomials
E. Mainar, Juan Manuel Peña, Beatriz Rubio · Linear Algebra and its Applications · 2022
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.