On the extrema of linear least-squares problems

被引：4

作者：

Phohomsiri, P ^{[1
]}

机构：

[1] Univ So Calif, Dept Aerosp & Mech Engn, Los Angeles, CA 90089 USA

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2005年 / 127卷 / 03期

关键词：

least-squares problems; generalized inverses; residual functions;

D O I：

10.1007/s10957-005-7509-6

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

We use the concept of generalized inverses to show that the extrema of the function G(x)= parallel to Ax - b parallel to(2) are minima, A being a rectangular matrix not necessarily of full rank.

引用

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页码：665 / 669

页数：5

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