Symmetric part preconditioning for the conjugate gradient method in Hilbert space

被引:15
作者
Axelsson, O
Karátson, J
机构
[1] Univ Nijmegen, Dept Math, NL-6525 ED Nijmegen, Netherlands
[2] ELTE Univ, Dept Appl Anal, Budapest, Hungary
关键词
conjugate gradient method in Hilbert space; nonsymmetric linear operators; mesh independent; preconditioning;
D O I
10.1081/NFA-120023867
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The conjugate gradient method for nonsymmetric linear operators in Hilbert space is investigated. Conditions on the coincidence of the full and truncated versions, known from the finite-dimensional case, are extended to the Hilbert space setting. The focus is on preconditioning by the symmetric part of the operator, in which case estimates are given for the resulting condition number. An important motivation for this study is given by differential operators, for which the obtained estimates yield mesh independent conditioning properties of the full CG method, and are in fact achieved by the simpler truncated version.
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页码:455 / 474
页数:20
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