Numerical methods and programming
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Num. Meth. Prog.:
Year:
Volume:
Issue:
Page:
Find




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

Numerical methods and programming, 2015, Volume 16, Issue 1, Pages 1–9 (Mi vmp513)  
An error estimate of a regularizing algorithm based of the generalized residual principle when solving integral equations

V. P. Tanana, A. I. Sidikova

South Ural State University, Chelyabinsk
Full-text PDF (185 kB)
Abstract: A regularizing algorithm for the approximate solution of integral equations of the first kind is studied. This algorithm involves a finite-dimensional approximation of the original problem. An error estimate is proposed. In order to obtain this estimate, the equivalence of the generalized residual method and the generalized residual principle is proved. This result can be used to estimate the finite-dimensional approximations of regularized solutions.
Keywords: regularization, generalized residual method, modulus of continuity, error estimates, ill-posed problems, integral equations, operator equations, finite-dimensional approximations.
Received: 14.11.2014
UDC: 517.948
Language: Russian
Citation: V. P. Tanana, A. I. Sidikova, “An error estimate of a regularizing algorithm based of the generalized residual principle when solving integral equations”, Num. Meth. Prog., 16:1 (2015), 1–9
Citation in format AMSBIB
\Bibitem{TanSid15}
\by V.~P.~Tanana, A.~I.~Sidikova
\paper An error estimate of a regularizing algorithm based of the generalized residual principle when solving integral equations
\jour Num. Meth. Prog.
\yr 2015
\vol 16
\issue 1
\pages 1--9
\mathnet{http://mi.mathnet.ru/vmp513}
Linking options:
  • https://www.mathnet.ru/eng/vmp513
  • https://www.mathnet.ru/eng/vmp/v16/i1/p1
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Numerical methods and programming
    Statistics & downloads:
    Abstract page:195
    Full-text PDF :88
    References:1
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024