On generalized averaged Gaussian formulas
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Publication:3433765
DOI10.1090/S0025-5718-07-01975-8zbMath1113.65025OpenAlexW2116469503MaRDI QIDQ3433765
Publication date: 2 May 2007
Published in: Mathematics of Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0025-5718-07-01975-8
three-term recurrence relationJacobi matrixpositive quadrature formulaaveraged and anti-Gaussian quadrature formulaKronrod formulaoptimal stratified extension
Related Items (33)
Averaged Gauss quadrature formulas: properties and applications ⋮ New block quadrature rules for the approximation of matrix functions ⋮ Estimating the error of Gaussian quadratures with simple and multiple nodes by using their extensions with multiple nodes ⋮ Generalized averaged Gauss quadrature rules for the approximation of matrix functionals ⋮ Error estimates for certain cubature formulae ⋮ On the computation of Patterson-type quadrature rules ⋮ Radau- and Lobatto-type averaged Gauss rules ⋮ Error estimates for a Gaussian rule involving Bessel functions ⋮ Decompositions of optimal averaged Gauss quadrature rules ⋮ Internality of generalized averaged Gauss quadrature rules and truncated variants for modified Chebyshev measures of the third and fourth kinds ⋮ Averaged cubature schemes on the real positive semiaxis ⋮ Modified Stieltjes polynomials and Gauss-Kronrod quadrature rules ⋮ The extended global Lanczos method, Gauss-Radau quadrature, and matrix function approximation ⋮ Optimal averaged Padé-type approximants ⋮ Gauss-type quadrature rules with respect to external zeros of the integrand ⋮ Modified anti-Gaussian quadrature formulae of Chebyshev type ⋮ Error estimates of anti-Gaussian quadrature formulae ⋮ On generalized averaged Gaussian formulas. II ⋮ A note on generalized averaged Gaussian formulas for a class of weight functions ⋮ Estimating the error in matrix function approximations ⋮ Unnamed Item ⋮ A note on generalized averaged Gaussian formulas ⋮ Kronrod extensions with multiple nodes of quadrature formulas for Fourier coefficients ⋮ Anti-Gaussian quadrature formulae based on the zeros of Stieltjes polynomials ⋮ A Structure Preserving Lanczos Algorithm for Computing the Optical Absorption Spectrum ⋮ Positive quadrature formulas III: asymptotics of weights ⋮ A new representation of generalized averaged Gauss quadrature rules ⋮ Internality of generalized averaged Gaussian quadrature rules and truncated variants for modified Chebyshev measures of the second kind ⋮ Generalized averaged Szegő quadrature rules ⋮ Internality of generalized averaged Gauss quadrature rules and truncated variants for modified Chebyshev measures of the first kind ⋮ Truncated generalized averaged Gauss quadrature rules ⋮ Internality of generalized averaged Gaussian quadrature rules and truncated variants for measures induced by Chebyshev polynomials ⋮ Rational averaged gauss quadrature rules
Uses Software
Cites Work
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