On orthogonal polynomials transformed by the QR algorithm

DOI10.1016/0377-0427(92)90262-VzbMath0764.65008MaRDI QIDQ1195725

Arieh Iserles, Martin D. Buhmann

Publication date: 18 January 1993

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

Sobolev orthogonal polynomialsrecurrence relationHankel determinantsJacobi matrixQR algorithmmodified Lommel polynomialssystem of orthogonal polynomials

Mathematics Subject Classification ID

Related Items (13)

Limit shape for infinite rank limit of tensor power decomposition for Lie algebras of series so2n+1 ^* ⋮ Polynomial perturbations of bilinear functionals and Hessenberg matrices ⋮ Darboux transformations for CMV matrices ⋮ A more accurate algorithm for computing the Christoffel transformation ⋮ Spectral transformations for Hermitian Toeplitz matrices ⋮ Higher-order recurrence relations, Sobolev-type inner products and matrix factorizations ⋮ The structure of iterative methods for symmetric linear discrete ill-posed problems ⋮ Geronimus spectral transforms and measures on the complex plane ⋮ A new algorithm for computing the Geronimus transformation with large shifts ⋮ Christoffel transformation for a matrix of bi-variate measures ⋮ OPUC, CMV matrices and perturbations of measures supported on the unit circle ⋮ Associated orthogonal polynomials of the first kind and Darboux transformations ⋮ Darboux transformation and perturbation of linear functionals

Cites Work

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• On polynomials orthogonal with respect to certain Sobolev inner products
• On the calculation of Jacobi matrices
• On Padé approximants associated with Hamburger series

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