Rational algorithm for quadratic Christoffel modification and applications to the constrainedL2-approximation

DOI10.1080/00207160.2011.565335zbMath1242.33012OpenAlexW2082942170WikidataQ115058726 ScholiaQ115058726MaRDI QIDQ2885529

Gradimir V. Milovanović, Marjan M. Matejić, Aleksandar S. Cvetković

Publication date: 23 May 2012

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2011.565335

zbMATH Keywords

Chebyshev polynomialsorthogonal polynomialsthree-term recurrence relationpositive measureChristoffel algorithmconstrained \(L^{2}\)-approximation

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Approximation with constraints (41A29) Approximation by polynomials (41A10) Other special orthogonal polynomials and functions (33C47) Orthogonalization in numerical linear algebra (65F25)

Uses Software

• OPQ

Cites Work

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• A set of orthogonal polynomials induced by a given orthogonal polynomial
• \(S\)-orthogonality and construction of Gauss-Turán-type quadrature formulae
• Calculation of Gaussian-type quadratures with multiple nodes
• A more accurate algorithm for computing the Christoffel transformation
• Interpolation Processes
• Least Squares Approximation With Constraints

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