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 3, Pages 391–399 (Mi zvmmf680)  
First-order perturbation theory for the symmetric lanczos algorithm

A. N. Malysheva, M. Sadkaneb

a Dept. Inform., Univ. Bergen, PB 7800, 5020 Bergen, Norway
b Dept. Math., Univ. Bretagne Occidentale, 6 av. Le Gorgeu, CS 93837, 20238 Brest Cedex 3, France
Full-text PDF (741 kB)
References:
PDF
HTML
Abstract: Sensitivity with respect to infinitesimal perturbations of a matrix is analyzed for orthonormal bases in Krylov subspaces constructed by using the symmetric Lanczos iteration. Exact expressions for the corresponding condition numbers are derived, which makes it possible to efficiently calculate these numbers.
Key words: perturbation theory, symmetric Lanczos algorithm.
Received: 06.10.2004
Bibliographic databases:
Document Type: Article
UDC: 519.614
Language: Russian
Citation: A. N. Malyshev, M. Sadkane, “First-order perturbation theory for the symmetric lanczos algorithm”, Zh. Vychisl. Mat. Mat. Fiz., 45:3 (2005), 391–399; Comput. Math. Math. Phys., 45:3 (2005), 374–382
Citation in format AMSBIB
\Bibitem{MalSad05}
\by A.~N.~Malyshev, M.~Sadkane
\paper First-order perturbation theory for the symmetric lanczos algorithm
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2005
\vol 45
\issue 3
\pages 391--399
\mathnet{http://mi.mathnet.ru/zvmmf680}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2161480}
\zmath{https://zbmath.org/?q=an:1082.65519}
\transl
\jour Comput. Math. Math. Phys.
\yr 2005
\vol 45
\issue 3
\pages 374--382
Linking options:
  • https://www.mathnet.ru/eng/zvmmf680
  • https://www.mathnet.ru/eng/zvmmf/v45/i3/p391
    • 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
    Statistics & downloads:
    Abstract page:313
    Full-text PDF :146
    References:66
    First page:1
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024