Accurate algorithms for Bessel matrices

DOI10.1007/s10915-019-00975-6zbMath1418.65038OpenAlexW2945877580WikidataQ127853228 ScholiaQ127853228MaRDI QIDQ2316265

Juan Manuel Peña, Héctor Orera, Jorge Delgado

Publication date: 26 July 2019

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-019-00975-6

zbMATH Keywords

totally positive matricesBessel polynomialshigh relative accuracyBessel matricesreverse Bessel polynomials

Mathematics Subject Classification ID

Factorization of matrices (15A23) Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Roundoff error (65G50) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Direct numerical methods for linear systems and matrix inversion (65F05)

Related Items

Characterizations and accurate computations for tridiagonal Toeplitz matrices, Accurate computations with Wronskian matrices of Bessel and Laguerre polynomials, Accurate computations with matrices related to bases \(\{t^ie^{\lambda t}\}\), Accurate bidiagonal decomposition and computations with generalized Pascal matrices, Total positivity and accurate computations with Gram matrices of Bernstein bases, Polynomial total positivity and high relative accuracy through Schur polynomials, Bidiagonal decompositions of Vandermonde-type matrices of arbitrary rank, High relative accuracy through Newton bases, Error analysis, perturbation theory and applications of the bidiagonal decomposition of rectangular totally positive h-Bernstein-Vandermonde matrices, Unnamed Item, Accurate computations with collocation and Wronskian matrices of Jacobi polynomials

Uses Software

• TNTool

Cites Work

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