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Zapiski Nauchnykh Seminarov LOMI, 1981, Volume 111, Pages 145–150 (Mi znsl1792)  
Convergence of a generalized method of conjugate gradients for the determination of the extremal eigenvalues of a matrix

G. V. Savinov
Full-text PDF (360 kB)
Abstract: For the determination of the minimal eigenvalue of a symmetric positive-definite matrix one obtains an estimate of the asymptotic rate of convergence of a generalized method of conjugate gradients, based on the method of the symmetric upper relaxation. One establishes the asymptotic value of the relaxation parameter.
English version:
Journal of Soviet Mathematics, 1984, Volume 24, Issue 1, Pages 95–98
DOI: https://doi.org/10.1007/BF01230270
Bibliographic databases:
UDC: 518.512.86
Language: Russian
Citation: G. V. Savinov, “Convergence of a generalized method of conjugate gradients for the determination of the extremal eigenvalues of a matrix”, Computational methods and algorithms. Part V, Zap. Nauchn. Sem. LOMI, 111, "Nauka", Leningrad. Otdel., Leningrad, 1981, 145–150; J. Soviet Math., 24:1 (1984), 95–98
Citation in format AMSBIB
\Bibitem{Sav81}
\by G.~V.~Savinov
\paper Convergence of a generalized method of conjugate gradients for the determination of the extremal eigenvalues of a matrix
\inbook Computational methods and algorithms. Part~V
\serial Zap. Nauchn. Sem. LOMI
\yr 1981
\vol 111
\pages 145--150
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl1792}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=628998}
\zmath{https://zbmath.org/?q=an:0527.65030|0517.65020}
\transl
\jour J. Soviet Math.
\yr 1984
\vol 24
\issue 1
\pages 95--98
\crossref{https://doi.org/10.1007/BF01230270}
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