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On the variational Prony problem when data contains disturbances lying on a given linear manifold Conference Abstracts

Conference Russian-Chinese Conference "Differential and Difference Equations"
02-06 Nov 2023 , Новосибирск
Source Russian-Chinese Conference "Differential and Difference Equations". Book of Abstracts
Compilation, Novosibirsk State University. Novosibirsk.2023. 176 c. ISBN 978-5-4437-1554-4. РИНЦ
Output data Year: 2023, Pages: 91-92 Pages count : 2
Authors Lomov Andrei Aleksandrovich 1,2
Affiliations
1 Sobolev Institute of Mathematics
2 Novosibirsk State University

Funding (1)

1 Sobolev Institute of Mathematics FWNF-2022-0008

Abstract: We study the variational Prony problem of a linear difference equation coefficients identification when data contains disturbances lying on a given linear manifold. The projectivity and the consistency properties of the target function are proven, and the numeric algorithm for finding global minimum based on inverse iterations is proposed. Formulas for optimal filtering of disturbances and additive noise are given. Numeric results are presented.
Cite: Lomov A.A.
On the variational Prony problem when data contains disturbances lying on a given linear manifold
In compilation Russian-Chinese Conference "Differential and Difference Equations". Book of Abstracts. – Novosibirsk State University., 2023. – C.91-92. – ISBN 978-5-4437-1554-4.
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Citing: Пока нет цитирований