Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Zh. Vychisl. Mat. Mat. Fiz.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 1979, Volume 19, Number 5, Pages 1333–1336 (Mi zvmmf5365)  
Scientific communications

Solution of a system of linear equations with an incomplete circulant matrix by a discrete Fourier transformation

A. V. Trushkin, D. S. Lebedev

Moskva
Full-text PDF (419 kB)
Abstract: An algorithm is described for finding the solution with least Euclidean norm of a subdefinite system of linear equations with an incomplete circulant matrix of dimensions $m\times n$, in which the calculation of the pseudo-inverse matrix is replaced by some discrete Fourier transformations of vectors of dimension $n$ and the inverse of a positive-definite matrix of order $n-m$.
Received: 25.09.1978
English version:
USSR Computational Mathematics and Mathematical Physics, 1979, Volume 19, Issue 5, Pages 253–257
DOI: https://doi.org/10.1016/0041-5553(79)90118-6
Bibliographic databases:
Document Type: Article
UDC: 519.612
MSC: 15A06
Language: Russian
Citation: A. V. Trushkin, D. S. Lebedev, “Solution of a system of linear equations with an incomplete circulant matrix by a discrete Fourier transformation”, Zh. Vychisl. Mat. Mat. Fiz., 19:5 (1979), 1333–1336; U.S.S.R. Comput. Math. Math. Phys., 19:5 (1979), 253–257
Citation in format AMSBIB
\Bibitem{TruLeb79}
\by A.~V.~Trushkin, D.~S.~Lebedev
\paper Solution of a~system of linear equations with an incomplete circulant matrix by a~discrete Fourier transformation
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 1979
\vol 19
\issue 5
\pages 1333--1336
\mathnet{http://mi.mathnet.ru/zvmmf5365}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=550117}
\zmath{https://zbmath.org/?q=an:0416.15004}
\transl
\jour U.S.S.R. Comput. Math. Math. Phys.
\yr 1979
\vol 19
\issue 5
\pages 253--257
\crossref{https://doi.org/10.1016/0041-5553(79)90118-6}
Linking options:
  • https://www.mathnet.ru/eng/zvmmf5365
  • https://www.mathnet.ru/eng/zvmmf/v19/i5/p1333
    • 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
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025