Quadrature formulas for matrix measures --- a geometric approach

DOI10.1016/S0024-3795(02)00532-3zbMath1019.41020OpenAlexW3021213911MaRDI QIDQ1870062

William J. Studden, Dette, Holger

Publication date: 4 May 2003

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0024-3795(02)00532-3

zbMATH Keywords

numerical integrationquadrature formulasorthogonal matrix polynomialsmatrix measuresmoment spacesinterpolation quadrature formulas

Mathematics Subject Classification ID

Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32) Basic linear algebra (15A99)

Related Items (3)

Relative asymptotics of matrix orthogonal polynomials for Uvarov perturbations: the degenerate case ⋮ Operator-valued spectral measures and large deviations ⋮ The maximization of determinants of block Toeplitz matrices with applications in optimal design theory

Cites Work

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• Weak convergence of orthogonal polynomials
• Orthogonal matrix polynomials: zeros and Blumenthal's theorem
• Quadrature formulae
• Markov's Theorem for Orthogonal Matrix Polynomials
• Matrix Stieltjes Series and Network Models
• Some Striking Properties of Binomial and Beta Moments
• The range of the (n + 1)th moment for distributions on [0, 1]

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