The QLY least-squares and the QLY least-squares minimal-norm of linear dual least squares problems

被引：15

作者：

Wang, Hongxing ^{[1
]}

Cui, Chong ^{[1
]}

Wei, Yimin ^{[2
,3
,4
,5
]}

机构：

[1] Guangxi Minzu Univ, Coll Math & Phys, Guangxi Key Lab Hybrid Computat & IC Design Anal, Nanning, Peoples R China

[2] Fudan Univ, Sch Math Sci, Shanghai, Peoples R China

[3] Fudan Univ, Shanghai Key Lab Contemporary Appl Math, Shanghai, Peoples R China

[4] Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China

[5] Fudan Univ, Shanghai Key Lab Contemporary Appl Math, Shanghai 200433, Peoples R China

来源：

LINEAR & MULTILINEAR ALGEBRA | 2024年 / 72卷 / 12期

基金：

中国国家自然科学基金;

关键词：

Dual matrix; dual Moore-Penrose generalized inverse; QLY total order; QLY least-squares; QLY least-squares minimal-norm;

D O I：

10.1080/03081087.2023.2223348

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Q In this paper, we define a QLY total order =(Q) over D-m to compare the magnitude of dual vectors. Then we consider the QLY least-squares problem and give its compact formula. Meanwhile, by comparing with a least-squares and the least-squares minimal-norm solutions, we can investigate a QLY least-squares and the QLY least-squares minimal-norm of linear dual least-squares problems. In particular, in the presence of a least-squares solution, we can get a QLY least-squares solution to be more accurate than a least-squares solution under the QLY total order.

引用

页码：1985 / 2002

页数：18

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