Properties and least‐squares problems for row extended matrices | Zendy

Zhao Lijun | Zendy; Hu Xiyan | Zendy; Zhang Lei | Zendy

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Properties and least‐squares problems for row extended matrices

Author(s) -

Zhao Lijun,

Hu Xiyan,

Zhang Lei

Publication year - 2010

Publication title -

numerical linear algebra with applications

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.02

H-Index - 53

eISSN - 1099-1506

pISSN - 1070-5325

DOI - 10.1002/nla.648

Subject(s) - mathematics , perturbation (astronomy) , least squares function approximation , representation (politics) , mathematical optimization , statistics , physics , quantum mechanics , estimator , politics , political science , law

In this paper, we discuss basic properties, a least‐squares problem for row extended matrices and the associated approximation problem. First, we obtain their basic properties by applying their particular structure. Then we derive a general representation of the solutions to the least‐squares problem, and we obtain an expression for the solution to the associated approximation problem. Finally, we provide a perturbation analysis and a perturbation bound for the best approximate solution. The results are illustrated by numerical examples. Copyright © 2009 John Wiley & Sons, Ltd.

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