Convergence of Krylov methods for sums of two operators

被引：7

作者：

Nevanlinna, O ^{[1
]}

机构：

[1] HELSINKI UNIV TECHNOL,INST MATH,FIN-02150 ESPOO,FINLAND

来源：

BIT | 1996年 / 36卷 / 04期

关键词：

Krylov methods; GMRES; trace class;

D O I：

10.1007/BF01733791

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

We discuss the convergence of Krylov subspace methods for equations x = Tx + f where T is a sum of two operators, T = B+K, where B is bounded and K is nuclear. Bounds are given for inf \\Q(k)(B+K)\\ and for inf \\p(k)(B+K)\\, where the infimum is over all polynomials of degree k, such that Q(k) is monic and p(k) is normalized: p(k)(1) = 1.

引用

页码：775 / 785

页数：11