广义特征值问题近似收缩对组误差的残量界限

近年来,人们对矩阵不变子空间和矩阵束的广义不变子空间的计算颇为注意,关于误差和摄动理论的研究也比较深入.对于单个矩阵的情况,4]中研究了非规范矩阵的近似特征组的残量界限,与大多数已有的误差估计不同,这个界限是可计算的,因而便于

RESIDUAL BOUNDS ON APPROXIMATE DEFLATION PAIR SYSTEMS OF A GENERALIZED EIGENVALUE PROBLEM

An error analysis on approximate deflation pair systems of a generalized eigenvalue pro-blem is presented. The error bounds obtained are expressed by the norms of the residual ma-trices of the deflation pair systems and are computable.