Convergence of a generalized method of conjugate gradients for the determination of the extremal eigenvalues of a matrix
Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part V, Tome 111 (1981), pp. 145-150
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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.
@article{ZNSL_1981_111_a10,
author = {G. V. Savinov},
title = {Convergence of a generalized method of conjugate gradients for the determination of the extremal eigenvalues of a matrix},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {145--150},
year = {1981},
volume = {111},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1981_111_a10/}
}
TY - JOUR AU - G. V. Savinov TI - Convergence of a generalized method of conjugate gradients for the determination of the extremal eigenvalues of a matrix JO - Zapiski Nauchnykh Seminarov POMI PY - 1981 SP - 145 EP - 150 VL - 111 UR - http://geodesic.mathdoc.fr/item/ZNSL_1981_111_a10/ LA - ru ID - ZNSL_1981_111_a10 ER -
%0 Journal Article %A G. V. Savinov %T Convergence of a generalized method of conjugate gradients for the determination of the extremal eigenvalues of a matrix %J Zapiski Nauchnykh Seminarov POMI %D 1981 %P 145-150 %V 111 %U http://geodesic.mathdoc.fr/item/ZNSL_1981_111_a10/ %G ru %F ZNSL_1981_111_a10
G. V. Savinov. Convergence of a generalized method of conjugate gradients for the determination of the extremal eigenvalues of a matrix. Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part V, Tome 111 (1981), pp. 145-150. http://geodesic.mathdoc.fr/item/ZNSL_1981_111_a10/