Linear least squares problems with additional constraints and an application to scattered data approximation

被引：3
|
作者：
Damm, Tobias [1 ]
Stahl, Dominik [2 ]
机构：
[1] Univ Bayreuth, Chair Appl Math, D-95440 Bayreuth, Germany
[2] Fraunhofer ITWM, Dept Syst Anal Prognosis & Control, D-67663 Kaiserslautern, Germany
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 2013年 / 439卷 / 04期
关键词：
Least squares problem; Generalized inverse; Scattered data approximation;
D O I：
10.1016/j.laa.2012.08.015
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We construct generalized inverses to solve least squares problems with partially prescribed kernel and image spaces. To this end we parameterize a special subset of all (1, 3)-generalized inverses, and analyze their properties. Furthermore, we discuss an application to scattered data approximation where certain (1, 3)-generalized inverses are more adequate than the Moore-Penrose inverse. (C) 2012 Elsevier Inc. All rights reserved.
引用
收藏
页码：933 / 943
页数：11
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