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.
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
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\by A.~V.~Kozak, D.~I.~Khanin
\paper Approximate solution of large systems of equations with multi-dimensional Toeplitz matrices
\jour Sib. Zh. Vychisl. Mat.
\yr 2015
\vol 18
\issue 1
\pages 55--64
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\jour Num. Anal. Appl.
\yr 2015
\vol 8
\issue 1
\pages 46--54
\crossref{https://doi.org/10.1134/S199542391501005X}
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Linking options:
https://www.mathnet.ru/eng/sjvm566
https://www.mathnet.ru/eng/sjvm/v18/i1/p55
This publication is cited in the following 1 articles:
A. V. Kozak, D. I. Khanin, “Approximate solution of integral equations with multidimensional convolution operators on large sets with piecewise smooth boundaries”, Bol. Soc. Mat. Mex., 22:2, SI (2016), 487–501
Citation in format AMSBIB
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