A matrix algorithm towards solving the moment problem of Sobolev type

Marcellán Español, Francisco José; Szafraniec, Franciszek H.

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A matrix algorithm towards solving the moment problem of Sobolev type

Author(s): Marcellán Español, Francisco José; Szafraniec, Franciszek H.

Publisher: Elsevier

Issued date: 2001-07-01

Citation: Linear Algebra and its Applications, 2001, vol. 331, n. 1-3, p. 155-164

ISSN: 0024-3795

DOI: 10.1016/S0024-3795(01)00271-3

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

URI: http://hdl.handle.net/10016/6102

Rights: © Elsevier

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 [+]