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, 2005, Volume 45, Number 10, Pages 1731–1755 (Mi zvmmf576)  
This article is cited in 4 scientific papers (total in 4 papers)

Fast convergent iterative methods for the computation of weighted pseudoinverses and weighted normal pseudosolutions with singular weights

E. F. Galba, V. S. Deineka, I. V. Sergienko

Glushkov Institute of Cybernetics NAS Ukraine
Full-text PDF (3005 kB) Citations (4)
References:
PDF
HTML
Abstract: To calculate weighted pseudoinverses and weighted normal pseudosolutions with singular weights, iterative processes with the convergence order $p\ge 2$ are constructed and analyzed. Expansions of weighted pseudoinverses in matrix power products are obtained and used in the construction of those processes. The issue of the adaptation of the iterative processes designed for the computation of weighted normal pseudosolutions to solving constrained least squares problems is examined.
Received: 15.03.2005
Bibliographic databases:
Document Type: Article
UDC: 519.613
Language: Russian
Citation: E. F. Galba, V. S. Deineka, I. V. Sergienko, “Fast convergent iterative methods for the computation of weighted pseudoinverses and weighted normal pseudosolutions with singular weights”, Zh. Vychisl. Mat. Mat. Fiz., 45:10 (2005), 1731–1755; Comput. Math. Math. Phys., 45:10 (2005), 1667–1690
Citation in format AMSBIB
\Bibitem{GalDeiSer05}
\by E.~F.~Galba, V.~S.~Deineka, I.~V.~Sergienko
\paper Fast convergent iterative methods for the computation of weighted pseudoinverses and weighted normal pseudosolutions with singular weights
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2005
\vol 45
\issue 10
\pages 1731--1755
\mathnet{http://mi.mathnet.ru/zvmmf576}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2189383}
\zmath{https://zbmath.org/?q=an:1089.65034}
\transl
\jour Comput. Math. Math. Phys.
\yr 2005
\vol 45
\issue 10
\pages 1667--1690
Linking options:
  • https://www.mathnet.ru/eng/zvmmf576
  • https://www.mathnet.ru/eng/zvmmf/v45/i10/p1731
    Erratum
    • Correction
      E. F. Galba, V. S. Deineka, I. V. Sergienko
      Zh. Vychisl. Mat. Mat. Fiz., 2006, 46:3, 560
    This publication is cited in the following 4 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
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024