Generalized Characteristic Polynomials and Gaussian Cubature Rules

DOI10.1137/140972810zbMath1320.33020arXiv1406.3329OpenAlexW2964104047MaRDI QIDQ5502146

Yuan Xu

Publication date: 17 August 2015

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.3329

zbMATH Keywords

orthogonal polynomialsToeplitz matrixgeneralized characteristic polynomialsGaussian cubature rule

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable (33C50)

Related Items (2)

Gauss-Quadrature Method for One-Dimensional Mean-Field SDEs ⋮ Geronimus transformations of bivariate linear functionals

Cites Work

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• On eigenvalues of rectangular matrices
• Discrete Fourier analysis on fundamental domain and simplex of \(A_{d}\) lattice in \(d\)-variables
• Centrohermitian and skew-centrohermitian matrices
• Multivariate Gaussian cubature formulae
• Around a multivariate Schmidt-Spitzer theorem
• Discrete Fourier Analysis, Cubature, and Interpolation on a Hexagon and a Triangle
• Chebyshev Polynomials in Several Variables and the Radial Part of the Laplace-Beltrami Operator
• Orthogonal Polynomials of Several Variables
• Complex versus real orthogonal polynomials of two variables

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