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A matrix algorithm towards solving the moment problem of Sobolev type. (English) Zbl 0980.65049

The authors introduce a matrix algorithm to decompose a given infinite-dimensional matrix as a sum of a fixed number of Hankel matrices. The decomposition is useful in checking if the matrix is a moment matrix with respect to the inner product associated to Sobolev orthogonal polynomials.

MSC:

65F30 Other matrix algorithms (MSC2010)
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References:

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[8] F. Marcellán, F.H. Szafraniec, The Sobolev-type moment problem, Proc. Amer. Math. Soc. 128 (2000) 2309-2317; F. Marcellán, F.H. Szafraniec, The Sobolev-type moment problem, Proc. Amer. Math. Soc. 128 (2000) 2309-2317 · Zbl 0951.44002
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