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http://hdl.handle.net/10016/6102
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| Title: | A matrix algorithm towards solving the moment problem of Sobolev type |
| Author(s): | Marcellán, Francisco
Szafraniec, Franciszek H. |
| Publisher: | Elsevier |
| Issued date: | 1-Jul-2001 |
| Citation: | Linear Algebra and its Applications, 2001, vol. 331, n. 1-3, p. 155-164 |
| URI: | http://hdl.handle.net/10016/6102 |
| ISSN: | 0024-3795 |
| DOI: | 10.1016/S0024-3795(01)00271-3 |
| Description: | 10 pages, no figures.-- MSC2000 code: 65F30.
MR#: MR1832494 (2002g:44005)
Zbl#: Zbl 0980.65049 |
| 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]. |
| Sponsor: | This research was initiated within the framework of scientific and technical cooperation between Spain and Poland supported by the Ministry of Foreign Affairs of Spain and the Committee of Scientific Research (KBN) of Poland, grant 07/R98. The work of the first author (F.M.) was supported by Dirección General de Enseñanza Superior (DGES) of Spain under grant PB96-0120-C03-01. |
| Review: | PeerReviewed |
| Publisher version: | http://dx.doi.org/10.1016/S0024-3795(01)00271-3 |
| Keywords: | Moment problem of Sobolev type
Hankel and subhankel matrix
Toeplitz and subtoeplitz matrix
Hankelization and toeplitzation of a matrix |
| Rights: | © Elsevier |
| Appears in Collections: | DM - GAMA - Artículos de Revistas
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