A POSTERIORI ERROR-ESTIMATES FOR LINEAR-EQUATIONS

被引：18

作者：

AUCHMUTY, G

机构：

[1] Department of Mathematics, University of Houston, Houston, 77204-3476, TX

来源：

NUMERISCHE MATHEMATIK | 1992年 / 61卷 / 01期

关键词：

Mathematics Subject Classification (1991): 15A60; 65F35; 65G99;

D O I：

10.1007/BF01385494

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper describes upper and lower p-norm error bounds for approximate solutions of the linear system of equations Ax = b. These bounds imply that the error is proportional to the quantity parallel-to r parallel-to 2(2) parallel-to A(T)r parallel-to q-1 where r is the residual and q is the conjugate index to p. The constant of proportionality is larger than 1 and lies in a specified range. Similar results are obtained for approximations to A-1 and solutions of nonsingular linear equations on general spaces.

引用

页码：1 / 6

页数：6