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Operator ofextrapolation from afinite set ofquasi-polynomialvector-functions andits applications Maergoiz L.S.Zav'yalov M.N.2004 год

Operator of extrapolation from a finite set of quasi-polynomial vector-functions and its applications : научное издание
статья из журнала

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База данных: Каталог библиотеки СФУ
Библиографическое описание: Operator of extrapolation from a finite set of quasi-polynomial vector-functions and its applications : научное издание / L. S. Maergoiz, M. N. Zav'yalov. - Текст : непосредственный // Journal of Inverse and Ill-Posed Problems. - 2004. - Т. 12, № 4. - P. 435-446. - ISSN 0928-0219. - ISSN 1569-3945, DOI 10.1515/1569394042248256.
Аннотация: We consider the inverse problem for a first-order homogeneous system of linear ordinary differential equations (LODE), d/dt Y (t) = AY (t), where Y (t) is a vector-function with n components and A is an unknown matrix of dimensionality n x n with constant complex coefficients and certain restrictions imposed on its eigenvalues. The boundary conditions are C<sub>k</sub> := Y (t<sub>k</sub>), t<sub>k</sub> = t<sub>0</sub> + kd, d > 0, k= 0, 1,..., N, N ≥ n. Here {C<sub>k</sub>}<sub>0</sub><sup>N</sup>is a given system of vectors in ℂ<sup>n</sup>. This problem is equivalent to the problem of extrapolating a vector-function composed of quasi-polynomials representing solutions of some LODEs with constant coefficients of order n. The zone of solution stability of the system against small-amplitude input data oscillations is described. The results obtained are used to construct an approximation algorithm for a real vector-function of one variable set at a finite number of nodes of a uniform grid (modified Prony algorithm). © VSP 2004.
Год издания: 2004
Авторы: Maergoiz L.S. , Zav'yalov M.N.
Издательство: Brill Academic Publishers
Источник: Journal of Inverse and Ill-Posed Problems
Выпуск: Т. 12, № 4
Номера страниц: 435-446
Держатель оригинала документа: Krasnoyarsk State Academy of Architecture and Civil Engineering
Количество экземпляров:
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