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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 1983, Volume 23, Number 5, Pages 1041–1051 (Mi zvmmf4490)  
This article is cited in 2 scientific papers (total in 2 papers)

A regular algorithm for finding the basis of the kernel of a linear operator

A. L. Ageev

Sverdlovsk
Full-text PDF (1130 kB) Citations (2)
Abstract: A regular algorithm is devised for determining approximately the special basis in the kernel of a linear continuous operator, specified with an error. An example is given of realizing the algorithm for a linear Fredholm integral operator, arising when processing the data of X-ray structural analysis. Features of the solution of a linear Fredholm integral equation of the 1st kind, connected with the non-uniqueness of the solution in the context of a special accuracy, are discussed.
Received: 05.08.1981
English version:
USSR Computational Mathematics and Mathematical Physics, 1983, Volume 23, Issue 5, Pages 11–17
DOI: https://doi.org/10.1016/S0041-5553(83)80151-7
Bibliographic databases:
Document Type: Article
UDC: 517.988.8
MSC: Primary 65J10; Secondary 45B05, 47A53, 65R20, 47A50, 65F30
Language: Russian
Citation: A. L. Ageev, “A regular algorithm for finding the basis of the kernel of a linear operator”, Zh. Vychisl. Mat. Mat. Fiz., 23:5 (1983), 1041–1051; U.S.S.R. Comput. Math. Math. Phys., 23:5 (1983), 11–17
Citation in format AMSBIB
\Bibitem{Age83}
\by A.~L.~Ageev
\paper A regular algorithm for finding the basis of the kernel of a linear operator
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 1983
\vol 23
\issue 5
\pages 1041--1051
\mathnet{http://mi.mathnet.ru/zvmmf4490}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=721782}
\zmath{https://zbmath.org/?q=an:0551.65039}
\transl
\jour U.S.S.R. Comput. Math. Math. Phys.
\yr 1983
\vol 23
\issue 5
\pages 11--17
\crossref{https://doi.org/10.1016/S0041-5553(83)80151-7}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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