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  • 1
    Electronic Resource
    Electronic Resource
    Asymptotics of orthogonal polynomials and the numerical solution of ill-posed problems (1996)
    Springer
    Numerical algorithms 11 (1996), S. 203-213 
    Details
    ISSN: 1572-9265
    Keywords: Ill-posed problems ; iterative methods ; rate of convergence ; fast decreasing polynomials ; Christoffel functions ; zeros of orthogonal polynomials ; Tricomi-Carlitz polynomials ; Lommel polynomials
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science , Mathematics
    Notes: Abstract The paper reviews the impact of modern orthogonal polynomial theory on the analysis of numerical algorithms for ill-posed problems. Of major importance are uniform bounds for orthogonal polynomials on the support of the weight function, the growth of the extremal zeros, and asymptotics of the Christoffel functions.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02142497
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