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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2012, Volume 15, Number 4, Pages 371–385
(Mi sjvm487)
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This article is cited in 3 scientific papers (total in 3 papers)
On counter orthogonalization processes
A. O. Egorshin Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
Abstract:
The deduction the counter orthogonalization equation for homogeneous, i.e., generated by isometric operators, vector systems in the Hilbert space is given. The application of this theory deals, in particular, with solving the Toeplitz algebraic and integral equations, some problems of the signals estimation, inverse problems of mathematical modeling, and identification.
Key words:
homogeneous vectors systems, orthogonal projection, orthogonal projector, the Grama–Shmidt orthogonalization, counter orthogonalization.
Received: 06.02.2011 Revised: 17.03.2011
Citation:
A. O. Egorshin, “On counter orthogonalization processes”, Sib. Zh. Vychisl. Mat., 15:4 (2012), 371–385; Num. Anal. Appl., 5:4 (2012), 307–319
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https://www.mathnet.ru/eng/sjvm487 https://www.mathnet.ru/eng/sjvm/v15/i4/p371
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Abstract page: | 275 | Full-text PDF : | 77 | References: | 40 | First page: | 4 |
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