Properties and least‐squares problems for row extended matrices |
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| Authors: | Lijun Zhao Xiyan Hu Lei Zhang |
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| Institution: | 1. School of Mathematics and Information Engineering, Taizhou University, Linhai 317000, People's Republic of China;2. College of Mathematics and Econometrics, Hunan University, Changsha 410082, People's Republic of China |
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| Abstract: | 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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| Keywords: | row extended matrix least‐squares problem best approximation problem |
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