Perturbation analysis of the least squares solution in Hilbert spaces

被引：49

作者：

Chen, GL ^{[1
]}

Wei, MS ^{[1
]}

Xue, YF ^{[1
]}

机构：

[1] E CHINA UNIV SCI & TECHNOL,INST FUNDAMENTAL EDUC,SHANGHAI 200037,PEOPLES R CHINA

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 1996年 / 244卷

关键词：

D O I：

10.1016/0024-3795(94)00210-X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let H-1, H-2 be two Hilbert spaces over the same field, and let T : H-1 --> H-2 be a bounded linear operator with closed range. We give a complete description of the perturbation analysis for the least squares solution to the operator equation Tx = y(i) where 2 is an element of H-1, y is an element of H-2.

引用

页码：69 / 80

页数：12

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