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A matrix algorithm towards solving the moment problem of Sobolev type

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URI: https://hdl.handle.net/10016/6102
ISSN: 0024-3795
DOI: 10.1016/S0024-3795(01)00271-3
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matrix_marcellan_laa_2001_ps.pdf (459.81 KB)
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2001-07-01
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Elsevier
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Abstract
We propose a matrix algorithm which is the first step towards considering a given matrix as a moment matrix of Sobolev type in the diagonal form of an arbitrary (not necessarily finite) order on the real line or the unit circle. This continues our recent work [Proc. Amer. Math. Soc., 128 (2000) 2309] on the moment problem of Sobolev type and gives an alternative approach to what is in [J. Approx. Theory 100 (1999) 364].
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10 pages, no figures.-- MSC2000 code: 65F30.
MR#: MR1832494 (2002g:44005)
Zbl#: Zbl 0980.65049
Keywords
Moment problem of Sobolev type, Hankel and subhankel matrix, Toeplitz and subtoeplitz matrix, Hankelization and toeplitzation of a matrix
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Linear Algebra and its Applications, 2001, vol. 331, n. 1-3, p. 155-164
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