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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2015, Volume 18, Number 1, Pages 55–64 (Mi sjvm566)  
This article is cited in 1 scientific paper (total in 1 paper)

Approximate solution of large systems of equations with multi-dimensional Toeplitz matrices

A. V. Kozak, D. I. Khanin

Southern Federal University, 105/42 Bolshaya Sadovaya str., Rostov-on-Don, 344006, Russia
Full-text PDF (429 kB) Citations (1)
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Abstract: The conditions using the inverse operator and its form in the truncated two-dimensional convolution operators on sets with smooth boundaries are known. The presence of the corner points adds complexity to the task. The equations with multi-dimensional convolution operators on polyhedra is considered. The approximate method for them is proposed, and estimates for the errors are obtained. The possibility of approximation solutions of these equations with multi-dimensional cyclic matrices is also investigated.
Key words: approximate solution, Toeplitz matrices, multi-dimensional cyclic matrices, multi-dimensional convolution operators on polyhedral.
Received: 09.09.2013
Revised: 20.02.2014
English version:
Numerical Analysis and Applications, 2015, Volume 8, Issue 1, Pages 46–54
DOI: https://doi.org/10.1134/S199542391501005X
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: A. V. Kozak, D. I. Khanin, “Approximate solution of large systems of equations with multi-dimensional Toeplitz matrices”, Sib. Zh. Vychisl. Mat., 18:1 (2015), 55–64; Num. Anal. Appl., 8:1 (2015), 46–54
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
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