A note on the superlinear convergence of GMRES

被引：43
作者：
Moret, I
机构：
[1] Dipartimento di Scienze Matematiche, Università di Trieste, 34127 Trieste, Piazzale Europa l
来源：
SIAM JOURNAL ON NUMERICAL ANALYSIS | 1997年 / 34卷 / 02期
关键词：
linear equations; Krylov subspace methods; GMRES method; compact operators; singular values;
D O I：
10.1137/S0036142993259792
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In the paper it is shown how the rate of convergence of the GMRES method for solving a linear operator equation (lambda I + K)u = f in a Hilbert space is related to the degree of compactness of K measured by the products of its singular values.
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页码：513 / 516
页数：4
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