A new presentation of orthogonal polynomials with applications to their computation

DOI10.1007/BF02142322zbMath0752.65011MaRDI QIDQ1186618

Claude Brezinski, Michela Redivo-Zaglia

Publication date: 28 June 1992

Published in: Numerical Algorithms (Search for Journal in Brave)

zbMATH Keywords

orthogonal polynomialsHankel determinantnumerical stabilitythree-term recurrence relationNumerical examples\(qd\)-algorithmdeterminantal formulaeorthonal polynomials

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Computation of special functions and constants, construction of tables (65D20)

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Cites Work

• Padé-type approximation and general orthogonal polynomials
• Extrapolation methods
• Lanczos-type algorithms for solving systems of linear equations
• Polynômes orthogonaux formels - applications
• Der Quotienten-Differenzen-Algorithmus
• A Completed Theory of the Unsymmetric Lanczos Process and Related Algorithms. Part II
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