GMRES and integral operators

被引：17
|
作者：
Kelley, CT [1 ]
Xue, ZQ [1 ]
机构：
[1] N CAROLINA STATE UNIV,DEPT MATH,RALEIGH,NC 27695
来源：
SIAM JOURNAL ON SCIENTIFIC COMPUTING | 1996年 / 17卷 / 01期
关键词：
integral equations; GMRES iteration; Broyden's method;
D O I：
10.1137/0917015
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we show how the properties of integral operators and their approximations are reflected in the performance of the GMRES iteration and how these properties can be used to smooth the GMRES iterates by an implicit application of Nystrom interpolation, thereby strengthening the norm in which convergence takes place. The smoothed iteration has very similar properties to Broyden's method. We present an example to illustrate the ideas.
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页码：217 / 226
页数：10
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