A relation between the Hilbert and Vandermonde matrices

DOI10.1007/BF02576148zbMath0755.15013OpenAlexW2037768751MaRDI QIDQ1814243

Gabriele Inglese

Publication date: 25 June 1992

Published in: Calcolo (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02576148

zbMATH Keywords

orthogonal polynomialsasymptotic behaviourHankel matrixVandermonde matrixLegendre polynomialsspectral condition numberHilbert matrixGauss-Christoffel quadrature formulasChristoffel abscissasChristoffel weightsTuring condition number

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Hermitian, skew-Hermitian, and related matrices (15B57) Numerical computation of matrix norms, conditioning, scaling (65F35) Conditioning of matrices (15A12)

Related Items (2)

Spectral properties of Hankel matrices and numerical solutions of finite moment problems ⋮ On the spectral condition of rectangular Vandermonde matrices

Cites Work

• Lower bounds for the condition number of Vandermonde matrices
• On inverses of Vandermonde and confluent Vandermonde matrices
• Mean Convergence of Lagrange Interpolation. III
• A Theory of Condition
• Construction of Gauss-Christoffel Quadrature Formulas

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