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Abstrakty
In this paper we consider an iterative method of finding a regularized solution of a general linear system Ax = b. For a given scalar α and an initial vector g it produces a sequence that converges to the least squares solution of this system. The limiting point minimizes the distance between g and the set of all least squares solutions of the problem. An estimate of the rate of convergence is also provided.
Wydawca
Czasopismo
Rocznik
Tom
Strony
931--938
Opis fizyczny
Bibliogr. 6 poz.
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autor
- The Faculty of Applied Physics and Mathematics Gdańsk University Of Technology ul. G. Narutowicza 11/12 80-233 Gdańsk, Poland, zbart@mif.pg.gda.pl
Bibliografia
- [1] Z. Bartoszewski, A correction and discretization of the general linear boundary value problem for nonlinear systems of ordinary differential equations in normal form, Ph. D. Thesis, Lomonosov University, Moscow, 1982 (in Russian).
- [2] Å. Björk, Numerical Methods for Least Squers Problems, SIAM, Philadelphia, 1996.
- [3] G. H. Golub, C. F. Van Loan, Matrix Computations, The John Hopkins University Press, Baltimore, 1989.
- [4] A. D. Gorbunov, Methods of Solving of Nonlinear Problems, Lomonosov University, Moscow, 1980 (in Russian).
- [5] V. A. Morozov, Regularization Methods for Ill-posed Problems, CRC Press, Boca Raton, FL, 1993.
- [6] V. A. Morozov, On the rate of convergence for regularized solutions, Numer. Funct. Anal. Optim. 19, 3-4 (1998), 345–352.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-PWA4-0031-0018