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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2013, Volume 53, Number 8, Pages 1227–1232
DOI: https://doi.org/10.7868/S0044466913080061 (Mi zvmmf9895) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On certain decompositions of complex inverse Toeplitz matrices and related fast algorithms for solving linear systems with Toeplitz coefficient matrices

V. I. Gel'fgat

Research and Production Company Akmal, Moscow
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DOI: https://doi.org/10.7868/S0044466913080061
Abstract: Formulas for inverting nonsingular Toeplitz matrices with complex entries are derived. These formulas either refine known ones or are new. They make it possible to develop economical algorithms for calculating products of inverse Toeplitz matrices with vectors.
Key words: matrices, Toeplitz matrices, circulants, skew-circulants, spectral decomposition, Toeplitz decomposition, Toeplitz rank, economical numerical algorithms.
Received: 14.01.2013
Revised: 18.02.2013
English version:
Computational Mathematics and Mathematical Physics, 2013, Volume 53, Issue 8, Pages 1057–1061
DOI: https://doi.org/10.1134/S096554251308006X
Bibliographic databases:
Document Type: Article
UDC: 519.613
Language: Russian
Citation: V. I. Gel'fgat, “On certain decompositions of complex inverse Toeplitz matrices and related fast algorithms for solving linear systems with Toeplitz coefficient matrices”, Zh. Vychisl. Mat. Mat. Fiz., 53:8 (2013), 1227–1232; Comput. Math. Math. Phys., 53:8 (2013), 1057–1061
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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